If the measure of <2 is 5 less than 4 times the measure of <1. The measure of angle <1 is 37 degrees, and the measure of angle <2 is 143 degrees. The measure of angle <3 is 55 degrees.
How to find the measures of all the angles?Let's call the measure of angle <1 "x".
From the problem, we know that:
4 times the measure of angle <1 is equal to the measure of angle <2 plus 5:
4x = measure of angle <2 + 5
So the measure of angle <2 is 4x - 5.
Next, we know that the measures of all angles in a triangle must add up to 180 degrees.
Therefore, we have:
x + (4x - 5) + measure of angle <3 = 180
Expanding and simplifying:
5x - 5 + measure of angle <3 = 180
5x + measure of angle <3 = 185
5x = 185
Finally, solving for x:
x = 37
So the measure of angle <1 is 37 degrees, and the measure of angle <2 is 4 * 37 - 5 = 143 degrees. The measure of angle <3 is 185 - 5x = 185 - 5 * 37 = 55 degrees.
Learn more about measure of angle here:https://brainly.com/question/25770607
#SPJ1
Please help with left hand limit problem. When I plug in the values from the bottom graph (left hand limit) into the function I don’t get the same f(x) values as my teacher but 1.9 for the first one
Answer:
Step-by-step explanation:
your picture is blur. can you repost it?
Using a ruler and a pair of compasses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
How to construct the right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
Constructing the TriangleGiven:
Base = EF = 6 cmHypotenuse = ED=11 cmThe angle between EF and ED= 90֯To find:
Construct a right-angle triangle DEF
1. Draw the line segment2. Then mark the center of the line segment.3. In the compass set its width to 6 cm.4. Keep the pointer of the compass on the midpoint C and marc arcs on both sides of C5. Mark points E and F where the arc crosses the line.6. Again set the width of the compass to the length of the hypotenuse, which is 11 cm.7. Keep the pointer of the compass in E and draw an arc above midpoint C.8. Repeat the above step keeping the pointer on F.9. Label the point as D where the arcs cross.10. Join the points DE and DF with the scale.11. Thus, we get the right-angled triangle DEF of necessary measurements
The constructed right-angle triangle DEF is given below:
Read more about triangles here:
https://brainly.com/question/1058720
#SPJ1
Find the perimeter and area of the rectangle
The perimeter of the rectangle is 2ab² ( 5ab² + 3)
The area of the rectangle is 15a³b^6
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let l=5a²b^4 , w= 3ab²
Perimeter = 2(l+w)
= 2(5a²b^4 + 3ab² )
=2 [ ab² ( 5ab² + 3)]
= 2ab² ( 5ab² + 3)
Area = l*w
= 5a²b^4 *3ab²
= 15a³b^6
The perimeter of the rectangle is 2ab² ( 5ab² + 3)
The area of the rectangle is 15a³b^6
To learn more about the rectangle from the given link
https://brainly.com/question/25292087
#SPJ1
10
Select whether the given side lengths of a triangle form a right triangle.
Do Not Form a
Right Triangle
3 cm, 4 cm, 5 cm
8 m, 10 m, 15 m
6 in., 8 in., 10 in.
5 cm, 12 cm, 13 cm
Form a
Right Triangle
0
Answer:yes,no,yes,no i think
Step-by-step explanation:
WILL MARK BRANLIEST!!!
The sum of the 10th terms of the geometric progression is 1023
What is sum of the terms of GPThe sum of the terms of a geometric progression (GP) is a formula used to find the total of a series of numbers that are increasing or decreasing by a common ratio. A geometric progression is a sequence of numbers such that the ratio of any two consecutive terms is constant.
The formula for the sum of the n terms of a geometric progression with first term a and common ratio r is given by:
Sₙ = a(rⁿ - 1) / r - 1
where:
a is the first term of the progression
r is the common ratio
n is the number of terms in the progression
In the problem given;
a = 1, n = 10, r = 2
Using the formula above;
Sₙ = a(rⁿ - 1) / r - 1
Substituting the values into the formula
S₁₀ = 1(2¹⁰ - 1) / 2 - 1
S₁₀ = 1023
Learn more on sum of a geometric progression here;
https://brainly.com/question/8936754
#SPJ1
A local gym offers its members the opportunity to choose between two fitness classes: yoga and dance. Of the
400
400400 gym members,
300
300300 regularly attend yoga,
80
8080 regularly attend dance, and
50
5050 regularly attend yoga and dance. Using this information, answer each of the following questions. Let
Y
YY be the event that a randomly selected gym member regularly attends yoga and
D
DD be the event that a randomly selected gym member regularly attends dance
The probability of a gym member attending yoga is 0.625 or 62.5%.
Probability is the likelihood or chance of an event happening. In this scenario, we have information about the number of gym members attending yoga and dance, which can be used to calculate the probability of a gym member attending yoga.
Out of the 400 gym members, 300 regularly attend yoga, and 50 attend both yoga and dance. This means that the number of gym members attending only yoga is 300-50=250. The probability of a gym member attending yoga can be calculated by dividing the number of gym members attending yoga by the total number of gym members.
Probability of a gym member attending yoga= Number of gym members attending yoga/Total number of gym members
Probability of a gym member attending yoga= 250/400
Probability of a gym member attending yoga= 0.625 or 62.5%
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Complete Question:
400 gym members, 300 regularly attend yoga, 80 regularly attend dance, and 50 regularly attend yoga and dance. Using this information, answer each of the following questions.
What is the probability that a gym member attends yoga?
Nine more than twice a number is less than negative eleven. Find all numbers that make the statement true
All the numbers less than -10 and upto negative infinity will make the mentioned statement true.
Let us assume the number to be x. So, twice the number will be 2x. Then, nine more will be represented as: 2x + 9. Now, the total is less than -11, so representing the information in expression along with sign.
2x + 9 < - 11
Rewriting the expression according to 2x
2x < - 11 - 9
Performing subtraction on Right Hand Side of the equation
2x < - 20
x < - 20/2
Performing division on Right Hand Side of the equation
x < - 10
So, the numbers below -10 will make the statement true.
Learn more about inequality -
https://brainly.com/question/24372553
#SPJ4
To plot the point (6, -8), you would start at the origin and move
6 units to the ____ and
8 units ______
up, down, left, right
The coordinates ( 6,-8 ) are plotted by moving 6 units right and 8 units down.
What is the cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at which the x- and y-axes cross perpendicularly.
here, we have,
Given coordinates (6,-8)
for the cartesian plane, we know that the origin has points (0, 0)
and divided into four Quadrants,
the left side of the origin is a negative x-axis and the right side is a positive x-axis.
and the upside of the origin is a positive y-axis and the downside is a negative y-axis.
here coordinates of x =6 and y = -8
6 is 6 units right from the origin
and -8 is 8 units down from the origin.
Hence for the coordinates , 6 units to the right and 8 units down , is correct.
Learn more about cartesian plane;
brainly.com/question/28574364
#SPJ1
I need Help i Have a C in my class
Answer:B
Step-by-step explanation:
R^2=Q^2-P^2
R^2=2025
R=45
Answer:
b) 45cm
Step-by-step explanation:
by pythagoras theorem:
R² = P² - Q²
R² = 53² - 28² = 2809 - 784
R² = 2025
R = √2025
R = 45cm
Hope this helps!
Una compañía de teléfonos ofrece dos planes mensuales. El plan a cuesta $15 más $0. 12 adicionales por cada minuto de llamadas. El plan b cuesta $8 más 0. 17 adicionales por cada minuto de llamadas
¿para cuantos minutos de llamadas los dos planes cuestan lo mismo?
¿cual es el costo al que dos planes cuestan lo mismo?
The two plans cost the same for 60 minutes of calls. And the two plans cost the same for 60 minutes of calls.
We can set the cost of the two plans equal to each other and solve for the number of minutes:
Plan A: $15 + $0.12x (where x is the number of minutes)
Plan B: $8 + $0.17x
$15 + $0.12x = $8 + $0.17x
Subtracting $8 from both sides:
$7 + $0.12x = $0.17x
Subtracting $0.12x from both sides:
$7 = -0.05x + $0.17x
Adding 0.05x to both sides:
$7 + 0.05x = $0.17x
Dividing both sides by 0.12:
x = (7 / 0.12) / (1 - 0.17/0.12) = 60 minutes
So the two plans cost the same for 60 minutes of calls. To find the cost, we can plug x = 60 into either equation:
Plan A: $15 + $0.12 x 60 = $15 + $7.20 = $22.20
Plan B: $8 + $0.17 x 60 = $8 + $10.20 = $18.20
So the two plans cost the same when there are 60 minutes of calls, and they both cost $18.20
To learn more about equation click here
brainly.com/question/12381311
#SPJ4
Complete Question
A telephone company offers two monthly plans. The a plan costs $15 plus $0. 12 additional for each minute of calls. Plan b costs $8 plus an additional 0.17 for each minute of calls For how many minutes of calls do the two plans cost the same? What is the cost at which two plans cost the same?
Suppose that a motorboat is moving at 83 ft/s when its motor suddenly quits, and that 1 s later the boat has slowed to 23 ft/s. Assume that the resistance it encounters while coasting is proportional to the square of its velocity so that dv/dt =-kv^2 where k > 0. How far will the boat coast in the first 2 minutes after its motor quits?
The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.
From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:
[tex]dv/dt = -k v^2[/tex]
Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:
[tex]∫83^23 dv / v^2 = ∫0^1 -k dt[/tex]
=> [1/83 - 1/23] = k
So the equation for the velocity of the boat as it coasts is:
[tex]dv/dt = -[(1/83 - 1/23)] v^2[/tex]
The differential equation is separable:
[tex]dv/v^2 = -[(1/83 - 1/23)] dt[/tex]
Integrating both sides, we get:
-1/v = [(1/83 - 1/23)] t + C
where C is an integration constant. Using the initial condition v(0) = 83, we get:
C = -1/83
Substituting this back, we have:
-1/v = [(1/83 - 1/23)] t - 1/83
Solving for v, we have:
v(t) = 83 / [1 + (83/23 - 1) t]
To find the distance traveled, we integrate v(t) from t = 0 to t = 120:
s =[tex]∫0^120 v(t) dt[/tex]
Substituting v(t) and simplifying, we have:
s = 23 ln(1 + 3.6087t) + 60.391t + C
where C is another integration constant. Using the initial condition s(0) = 0, we get:
C = 0
Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:
s = 23 ln(1 + 3.6087t) + 60.391t
Evaluating this expression at t = 120 seconds, we get:
s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft
To learn more about integrating please click on below link
https://brainly.com/question/14502499
#SPJ4
Sam is paid $12.45 per hour for a 37.5 hour week plus 6% of sales for a week. What would Sam's sales have to be for him to earn $800 in a week?
Answer:
ok Let’s calculate the money Sam makes per week, not including sales (or Assuming $0 in sales):
Money per week =$6.45/hour×37.5 hours/week= $241.88/week
The money he Gains from sales must make up the difference, So
money from sales = $400−$241.88 = $158.12
This Money is only 6% or 0.06 of the total sales though, so
Total sales = $158.120.06 = $2635.33
of course, this is Assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would Have to make $2635.50 in sales (about 17 cents more).
Step-by-step explanation:
have a nice day.
Write an equivalent expression without parentheses. Then simplify the result.
7m- (2+4m)
Which expression is equivalent to 7m - (2 + 4m)?
OA. 7m-2-4m
OB. 7m.-2+ 4m
OC. 7m+2-4m
OD. 7m + 2 + 4m
The equivalent expression to 7m - (2 + 4m) is 7m - 2 - 4m. The first option from the given options is
Equivalent expressions.Algebraic expressions that produce the same final expression are said to be equivalent expressions. If the values of two algebraic expressions can be obtained by replacing the variables, then the expressions are equivalent. Using the equal symbol (=), equivalent phrases are represented or illustrated to one another.
From the information given;
= 7m - (2 + 4m)
= 7m - 2 - 4m
Therefore, we can conclude that the equivalent expression to 7m - (2 + 4m) is 7m - 2 - 4m.
Learn more about Equivalent expressions here:
https://brainly.com/question/24734894
#SPJ1
In a density curve, proportion of data is represented by O area above the curve. O area under the curve. O the shape of the curve. o intervals of values on the vertical axis. o intervals of values on the horizontal axis. O the length of the curve. Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? O All → Symmetric → Uniform → Normal O All → Nonsymmetric → Bell → Normal O All → Nonsymmetric → Symmetric → Normal O All → Bell → Symmetric → Normal O All → Symmetric → Bell → Normal O All Uniform → Bell → Normal
In a density curve, the proportion of data is represented by the option B) area under the curve and correct classification of shapes of density curves is option E)
What is Density curve?A density curve is a curve on a graph that represents the distribution of values in a dataset.
A density curve, also called a density function, is a graphical representation of the relative frequency distribution of a continuous random variable. The type of distribution most commonly represented by a density curve is the normal distribution, but any distribution of a continuous variable may be represented by a density curve.
Normal distribution curve is a bell shaped curve obtained for the distribution having maximum frequency near the central value of distribution and the frequency gradually tapering off symmetrically on both side.so, All → Symmetric → Bell → Normal
To know more about density curve
https://brainly.com/question/7041047
#SPJ4
please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp:
Determine whether each sequence is geometric. If so, find the common ratio
The sequence 3, 18, 108, 648, ..... is a geometric sequence.
The sequence 3.9, 19.5, 97.5, -487.5, ..... is a geometric sequence.
The sequence 1.1, -2.2, 4.4, -8.8, ..... is a geometric sequence.
The sequence 4, 20, 4, 20, ..... is not a geometric sequence.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁ = a₃/a₂
Common ratio, r = 18/3 = 108/18
Common ratio, r = 6 = 6 (geometric sequence).
Common ratio, r = -19.5/3.9 = 97.5/-19.5
Common ratio, r = -5 = -5 (geometric sequence).
Common ratio, r = -2.2/1.1 = 4.4/-2.2
Common ratio, r = -2 = -2 (geometric sequence).
Common ratio, r = 20/4 = 4/20
Common ratio, r = 5 = 0.2 (not a geometric sequence).
Read more on geometric sequence here: brainly.com/question/16423479
#SPJ1
if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
To learn more about revenue, visit here
https://brainly.com/question/28497313
#SPJ4
phone models a particular cell phone company offers models of phones, each in different colors and each available with any one of calling plans. how many combinations are possible?
The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is 120 .
We have to find the total number of combinations of cell phone models, colors, and calling plans,
So , we multiply the number of choices for each category.
By Using the multiplication principle of counting:
⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;
⇒ 4 × 6 × 5
⇒ 120
Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.
Learn more about Combinations here
https://brainly.com/question/30470937
#SPJ4
The given question is incomplete , the complete question is
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?
Look at the pic please
Answer:its a graph
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. Fishman, Goron, Smith, other.
b. 98 people
Use the percent formula:
P% of number = x in this case it's 35/100 * 280 = x
x = 98
c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.
Please anyone help me
The expression that represents all the possible widths of the rectangle is given as follows:
0 < x < 5.
How to obtain the area of the rectangle?The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
For this problem, the length is 5 meters more than five times the width, hence:
l = 5 + 5w.
Hence the area is given as follows:
A = w(5 + 5w)
A = 5w² + 5w.
The area is less than 100m², hence the inequality is given as follows:
5w² + 5w < 100
5w² + 5w - 100 < 0.
w² + w - 20 < 0.
(w + 5)(w - 4) < 0.
Hence the solutions are:
w + 5 < 0 -> w < 5.w - 4 < 0 -> w > -4.The width cannot be negative, hence the interval is:
0 < x < 5.
More can be learned about the area of a rectangle at https://brainly.com/question/25292087
#SPJ1
HELP I REALLY NEED IT!!
Answer:
Below
Step-by-step explanation:
Since the center (h,k) is (4,1) and the circle passes through (4,-4) the radius is 5 ( from y = 1 to -4 ...a distance of 5 )
the equation for a circle is of the form (x-h)^2 + (y-k)^2 = r^2
becomes (x-4)^2 + ( y-1)^2 = 5^2 < ==== graph this equation
radius = 5 then the diameter = 10 then circumference = pi * d = 10 pi
6 in.
15 in.
12 in.
Find the surface area of the prism
I
Answer:
684sq in
Step-by-step explanation:
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. If the dimensions of the prism are 6 inches, 15 inches, and 12 inches, then the surface area can be calculated as follows:
2(lw + lh + wh)
where l is the length, w is the width, and h is the height.
Substituting the given values, we get:
2(6 * 15 + 6 * 12 + 15 * 12)
= 2(90 + 72 + 180)
= 2(342)
= 684 square inches
So, the surface area of the rectangular prism is 684 square inches.
Please help ASAP!
Complete the equation of this circle.
(x-[ ])^2+(y-[ ])^2=[ ]
The equation for this circle is as stated in the above statement: (x-h)² + 2(y-k)² = r²
Why does life have a circle?Today, circles are still significant symbolically; they frequently stand for peace and unity. Check out at the Olympic logo, for instance. It contains five overlapping rings of various colors that collectively symbolize the world's five major continents, which are joined in a great spirit of healthy rivalry.
How come it's called a circle?A circle is a round shape that may be created by following a moving point on a plane while maintaining a constant distance from another point. This Greek word kirkos, which means hoop or ring, is whence the word circle gets its from.
To know more about Circle visit:
https://brainly.com/question/24375372
#SPJ1
I WILL GIVE BRAINLY
Part A: Given the function g(x) = |x − 7|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answer:
Part A:
The graph of g(x) = |x - 7| is a V-shaped graph that opens upward, with a vertex at x = 7 and y = 0. The graph of the function is symmetrical about the vertical line x = 7. The domain of the function is all real numbers, and the range is all non-negative real numbers, including zero.
Part B:
The transformation from f(x) to h(x) is a vertical shift upward by 2 units. The vertex of the parent function f(x) = |x| is at (0, 0), and the vertex of the transformed function h(x) = |x| + 2 is at (0, 2). The range of the parent function f(x) is all non-negative real numbers, including zero. The range of the transformed function h(x) is all non-negative real numbers greater than or equal to 2. The transformation shifts the entire graph of the parent function upward, increasing the y-values of all points on the graph by 2 units.
hihi i need help with this question 11
Step-by-step explanation:
So working from the bottom
The last line for x > 20 shows 13 because of the top graph, the last line is 13 and there is nothing below it.
Now for x > 16, we go up a line and see 14
That's where you would add 14 + any number below it
14 + 13 = 27. So for x > 16, you'd write 27
Going up, we have X > 12. Same thing, we go up a line and see 19. So now we just add 29 and any number below that
19 + 14 + 13 = 46. So for x > 12, you'd write 46.
You'll do that for the rest of the table. hope that helps
3. (a) T= 3db Find the value of T' when a 4 and b = 5.
The value of the variable T is 60
What are algebraic expressions?These are described as expressions that are composed of coefficients, factors, constants, variables and terms.
These algebraic expressions are also identified by mathematical or arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesWe have;
T= 3db
Substitute the values
T = 3(4)(5)
expand
T = 60
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
27 - 4x + x² can be written in the form (x + a)²+ b, where a and b are numbers. Work out the values of a and b.
Answer:
To rewrite the expression 27 - 4x + x² in the form (x + a)² + b, we can complete the square.
Starting with x² + (-4x) + 27:
x² - 4x + 4x² = 4x² - 4x
Adding (4/2)² = 4 to both sides:
4x² - 4x + 4 = 4x² - 4x + 4
The expression is now in the form (x - 2)² + 0, so a = -2 and b = 0.
Therefore, 27 - 4x + x² = (x - 2)² + 0.
Parallelogram CDEF is shown below.
Find the length of the segments and the measure of the angles: CF, FE, ∠D, and ∠E.
The segments' lengths and the angles' measurements are FE = 11, CF = 10, d = 54, and e = 126
What is meant by parallelogram?Having sides that are parallel to one another, a parallelogram is a two-dimensional geometric shape. It is a sort of four-sided polygon (sometimes known as a quadrilateral) where each parallel pair of sides is the same length. A parallelogram has a total of 180 degrees in its adjacent angles. Parallelograms come in 4 different varieties, 3 of which are unique. Parallelograms, squares, rectangles, and rhombuses are the four different varieties.A parallelogram has two parallel, equilateral sides. Square, rectangle, and rhombus are a few instances of parallelograms.The quadrilateral shape known as a parallelogram is used in geometry. The object has four sides and is two-dimensional.As this is a parallelogram c = e
so 9y = 7y + 28
9y - 7y = 28
2y = 28
y = 14
So e would be 7(14) + 28
= 98 + 28
= 126.
And as d + e = 180, d = 180 - 126
d = 54
And as CF = DE
2x = x + 5
2x - x = 5
x = 5
CF = 2x
= 2(5)
= 10
And lastly CD = FE
CD = 3x - 4
CD = 3(5) - 4
= 15 - 4
= 11
FE = 11
So the answers are:
FE = 11, CF = 10, d = 54, and e = 126
To learn more about parallelogram, refer to:
https://brainly.com/question/970600
#SPJ1
For a given recipe, 16 cups of flour are mixed with 8 cups of sugar. How many cups of flour should be used if 12 cups of sugar are used?
The number of cups of flour should be used if 12 cups of sugar are used is 6.
Determine the purpose of the relationship. Start by identifying what you want the ratio to show. Each ratio uses different data, so you need to make sure you're using the correct information to get the details you need.
set the formula. A ratio compares two numbers, usually by division. When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10.
Solve the equation. Divide data A by data B to get the ratio. In the example above, 5/10 = 0.5.
16 cups of flour are mixed with 8 cups of sugar and for 12 cup ratio should be same
so 16/8 = 12 /x
x = 6
know more about ratio click here;
https://brainly.com/question/18956877
#SPJ4
What value of m would make parallelogram WXYZ asquare?2m + 4m+6
The value of m for which the parallelogram WXYZ will be a square is (a) 2 .
For the parallelogram WXYZ to be a square ,
We know that , if parallelogram WXYZ is a square all, then all the sides are equal ;
So , we write WX = XY = YZ = ZW ;
To find the value of "m" , we use WX = ZW ;
substituting the values of sides of square from the figure ,
we get ;
⇒ 2m + 4 = m + 6 ;
⇒ 2m - m = 6 - 4 ;
⇒ m = 2 ;
Therefore , the value of "m" for the square WXYZ is 2 .
Learn more about Square here
https://brainly.com/question/29201251
#SPJ4
The given question is incomplete , the complete question is
What value of m would make parallelogram WXYZ a square ?
(a) 2
(b) 3
(c) 4
(d) 5
in how many ways can we arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously (e.g., first all the spades appear, then all the diamonds, then all the hearts, and then all the clubs)?
There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.
There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.
Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.
There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:
13! x 24 = 71,536,320
Learn more about permutations and combinations here: brainly.com/question/4658834
#SPJ4
