EF and BC in the trapezoid below are parallel. if ED=35, BC=63, and DC=28
Find the length of BD if EF = 45. Not all figures are rendered to scale.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.
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Suppose at bulk rate, instant potato flakes cost 12.04 cents, or $0.1204, per ounce.
a. if a box costs $77.05, how many pounds of potato flakes are in the box?
(hint: there are 16 ounces in a pound.)
b. what would a 2-pound box of potato flakes cost?
Cost of flakes per ounce is $0.1204 ,
a. If a box cost $77.05 then approximately 640 pounds of flakes are in box.
b. Cost of 2-pound flakes is $3.8525.
As given,
Cost of flakes = $0.1204/ounce
a.
Cost of a box =$77.05
1 pound =16 ounces
$0.1204 =1 ounce
⇒$77.05 =77.05 /0.1204
= 639.95
≈ 640 ounces
= 40 pounds
b. Cost of 2 pounds =(77.05 /40)× 2
= $3.8525
Therefore, there are
a. Approximately 640 pounds of flakes are in box.
b. Cost of 2-pound potato flakes is $3.8525.
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11 The function f(x) is graphed on the set of axes
below. On the same set of axes, graph f(x + 1) +2.
Answer:
Step-by-step explanation:
your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2
9+10=?????????? PLease tell Me!
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9+10=19.
Add 9 to 10.
It's 19.
Man, that's so hard!
Even I had to use a calculator.
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same.
Sydney and Maria each mix their own batch of pink paint.
Are their batches the same shade of pink?
Answer:
No because their ratios are different and not equivalent
Johnny wants to buy a box of
donuts. The donuts normally cost
$12 dollars but they are on sale for
10% off. What is the sale price for
the donuts? Please I need help
Answer:
$1.20
Step-by-step explanation:
if the donuts normally cost 12 dollars, but they are on on sale for 10% off, then all you have to do is divide 12 by 10.
12 ÷ 10 = 1.2
since we are working with money, we need to add a 0 at the end to make it 1.20, since you need 100 cents to make a dollar.
another way you could write the equation is,
10% × 12 = 1.2
1.2 = 1.20
hence, the sale price for the donuts is $1.20
Step-by-step explanation:
Hope it helps!
Jamal works at a grocery store part-time He must earn at least $200 each week He earns $8.50 per hour. Which inequality represents the number of hours, x, Jaal must work each week?
Answer: 24
Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.
which of the relations represent y as a function of x
For given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
In this question, we have been given some relations.
We need to determine which relations represent y as a function of x.
We know that a relation is function when there is unique output for each input.
Consider the first relation.
y = -3.4x
For each value of x there's unique and distinct output. Here x can take any real value.
so, the above relation is a function.
Consider the second relation.
We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.
Similarly for x = 4, there are two outputs y = 2 and y = -2.
this means, the second relation is not a function.
Now, consider the last relation.
From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.
So, above graph represents a function.
Also, by vertical line test, the graph represents a function.
Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
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Find the midpoint of the given line segment with the given endpoints
(5,1) and (4, -4)
Answer:
Step-by-step explanation:
(5 + 4)/2 = 9/2
(1 - 4)/2= -3/2
Round 9.7 to the nearest whole number.
Answer:
10
Step-by-step explanation:
If the decimal is .5 or above, round up to the next whole number. If the decimal is below .5, round down to the last whole number. Because .7 is greater than .5, we round up to 10.
Answer:
10
Step-by-step explanation:
In rounding, we look at the digit one place to the right of what we are rounding to. If that digit that is one place to the right is 5 or greater, we increase our digit by one. If that digit that is one place to the right is 4 or less, we leave our digit as it is.
Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
Go step by step to reduce the radical.
√216
Answer: 6√6
Step-by-step explanation:
√216=
√(36*6)=6√6
You have compared the obtained value with the critical value. what do you do next?
The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.
So, when we compared the obtained value with the critical value then after that Reject the null hypothesis if the obtained value is more extreme than the critical value.
and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
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Two model cars race in a straight line. The distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t^2 + 22t - 1, where t is the time in seconds since the start of the race. The distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t^2 + 25t.
Write a model for the difference in feet between car A and car B.
What is the difference in feet between car A and car B after 10 seconds? How can you tell which car is in the lead?
a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. The difference in feet between car A and car B after 10 seconds is 4 feet
c. To tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.a. Write a model for the difference in feet between car A and car B.Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.
Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.
The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.
So, d(t) = f(t) - g(t)
= 0.25t² + 22t - 1 - ( -0.1t² + 25t)
= 0.25t² + 22t - 1 + 0.1t² - 25t
= 0.35t² - 3t - 1
So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. What is the difference in feet between car A and car B after 10 seconds?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1.
To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).
So, d(t) = 0.35t² - 3t - 1.
d(10) = 0.35(10)² - 3(10) - 1
= 0.35(100) - 30 - 1
= 35 - 31
= 4 feet
So, the difference in feet between car A and car B after 10 seconds is 4 feet
c. How can you tell which car is in the lead?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1
= f(t) - g(t)
Since
f(t) = distance of car A and g(t) = distance of car B.So, to tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.Learn more about difference in distance in feet here:
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What are mathematical formulas placed in software that performs an analysis on a dataset?
Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
What is an algorithm?An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.
Now,
The mathematical formulae are placed in a software for analysis in order to obtain results.For this process, an algorithm is followed, with the help of which, the results are derived and obtained.Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
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In a recent year, 17.3% of all registered doctors were female. If there were 41,400 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answer: 239,306 total registered doctors
Step-by-step explanation:
1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).
[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]
2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).
[tex]41400*100 = 17.3x[/tex]
3. Simplify
Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal[tex]414*10^{4} = 17.3x[/tex]Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).[tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]
After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
write the next three terms of the arithmetic seqence below 1, 9, 17, 25, 33
Answer:
41,49,57
Step-by-step explanation:
the difference between each no. is 8
so add 8
What is the answer for7 x 21.6
Answer:
the answer is 151.2
Step-by-step explanation:
Answer:
151.2
Step-by-step explanation:
20+1+.6
20 x 7= 140
1 x 7 = 7
.6 x 7 = (6 x 7 then move the decimal over) 4.2
140+7+4.2=
151.2
someone pls explain what is adding and subtracting whole numbers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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Find the measure of the missing angles.
62°
b\co
The measures of angles B and C are 118° and 62°, respectively.
What are the measures of two missing angles generated by the intersection of two lines?
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
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Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.
Answer:
9/7
Step-by-step explanation:
9 red for every 7 blue can't be reduced
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answer:
g is the acceleration due to gravity.
if right please mark me brainliest
What is the value of (2.4)3?
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
please help its due tomorrow!!! Dont mind the coloring i was trying to do it but gave up. ☹️ Will give brainliest and 100 pts!
Answer:
the option Si mark as light green are correct
Find the value of x please.
Answer:
79°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral (4 sided figure) IS 360.
Take 360 - (101 + 121 + 59)
360 - 281 = 79
A commuter train travels 50 kilometers in 43 minutesWhat is speed in kilometers per hour?
Answer:
70.42 kilometers.
Step-by-step explanation:
43 minutes/60 minutes (1 hour is 60 minutes) = 0.71 hours.
Now we set up a problem here.
50 kilometers/0.71 hours = x kilometers/1 hour
We multiply out 1 hour and cancel out from both sides.
50/0.71 kilometers = 70.42 kilometers.
Therefore, the train was traveling at 70.42 kilometers per hour.
0.(3)= answer please
After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.
What is the law of exponents?
There are varied exponent laws in mathematics. Numerous fine problems that involve repeated addition operations can be answered using all of the exponentiation principles. The principles of exponents make addition and division processes simpler and make it easier to answer issues. The six significant rules of exponents will be covered in this composition along with multitudinous worked-out exemplifications.When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.
Given that,
[tex]0^3[/tex] , Expanding it following laws of exponents,
We get,
0*0*0=3
Therefore, [tex]0^3=0[/tex].
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Find the coordinates of the point 3/10 of the way from A to B.
The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).
What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.
To find the coordinates, use the internal division formula, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-3, -5)
(x₂, y₂) = B(12, 4)
m = 3 and n = 10.
Substitute the values to find the x and y coordinates of point P.
y = (3×4 + 10(-5))/(3 +10)
On solving;
y = -19/15
Solve for x coordinates;
y = (3(12) + 10(-3)/(3 +10)
on solving;
y = 1/5
Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).
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7 1/2 - 3 5/6 im not sure
Answer:
11/3 or 3 2/3
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
What is the range for the set of scores: 7, 8, 11, 15, 17, 20?
a. 20
b. 1
c. 13
d. 7
The range of the set of scores is 13.
Here,
The set of scores:
7, 8, 11, 15, 17, 20
We have to find the range of the set of scores.
What is Range of set?
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.
Now,
The highest number = 20
The lowest number = 7
Hence, Range of the data set = 20 - 7 = 13
So, The range of the set of scores is 13.
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