Figure in option A is the figure that represents a rotation of 90° clockwise of the trapezoid
What is rotation?
The term rotation refers to the circular movement of an object or something about a point. The point mentioned is also called axis. The movement is circular because it involves turning round.
Rotation may be clockwise or anticlockwise. clockwise is the reverse of anticlockwise, and clockwise involves moving in same direction as the clock is turning,
As regards the trapezium, rotating it clockwise will result to the image depicted by option A
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Do children weigh 160 pounds together the oldest weighs 120lbs more how much do they each weigh
Answer:
One child weighs 120lbs, and the other weighs 40lbs.
Step-by-step explanation:
Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:
120 + x = 160
Subtract 120 from both sides
x = 40
FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.
find the distance between the two points in simplest radical form. (8,-1) and (2,-9)
Prove 2(2x+4)= 16 2(2x) by using the laws of exponents.
boris9
The prove that the equation can be verified using the laws of exponents.
What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
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Divide the fractions. ½÷⅞
Answer:1/2 / 7/8 = 8/14 = 4/7
Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7
You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of
beverage to provide enough for the projected number of people that will attend. So far, you have
received the following donations:
o Enough mix to make 4 gallons of lemonade
o 7 bottles of fruit juice that each contain 64 fl. oz.
How many cups of beverage do you have?
Will you have enough for the barbecue?
O no
O yes
You have 120 cups. The cups of beverage will be enough.
Will the cups be enough?In order to determine the cups of beverage I have, the first step is to convert gallons and oz to cups.
1 gallon = 16 cups
16 x 4 = 64 cups
1 fluid ounce = 0.125 cups
64 x 0.125 x 7 = 56 cups
Total cups you have = 56 + 64 = 120 cups
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A school district receives a donation of 15,000 pencils. At one of the middle school in the district, there are 4 math classes. At each of the other three middle schools in the district, there are 6 math classes each. Each math class gets the same number of pencils. How many pencils does each math class get?
Hence , the number of pencil's each math class get 1500 .
A numerical expression in arithmetic are often a mixture of numbers, and integers combined mistreatment mathematical operators like addition, subtraction, multiplication, or division.Let the number of pencil's each math class have be "x".
It is given that one middle school have 4 math classes and other three middle school have e 6 math classes .
Then number of pencil's 4 math classes get = 4x
The number of pencil's 6 math classes get = 6x
Total number of pencil's = 15,000
According to question
4x + 6x = 15000
10x = 15000
x = 15000/10
x = 1500
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Solve AGHI. Round the answers to the nearest hundredth.
A. m/Gs 61.93°, m1s 28.07°, HI = 15
B. m/Gs 28.07°, m/1 61.93°, HI = 18.79
C. m/Gs 61.930, m1 28.07°, H/= 18.79
D. m/G 28.07°, m/1 61.93°, HI = 15
In the 1800s psychologists established______
behavior and mental processes.
Answer:
the scientific approach led to the birth of modern psychology in the 1800's as psychologists argued that ideas about human behavior and mental processes should be supported by this. In the 1800's, psychologists established these for the (scientific study of human behavior and mental processes).
Step-by-step explanation:
The radius of the base of a cylinder is 10 centimeters and the height is 20 centimeters. A cone is used to fill the cylinder. Radius of the cone is 5 centimeters and it’s height is 10 centimeters how many cones are needed to fill the cylinder with water
It will take 24 cones to fill the cylinder.
so you have a cylinder and you have a cone. The radius of the base of the cylinder is 10cm And its height is 20 cm. A cone is used to fill the cylinder with water. The cone's base, the radius of the cone space. Okay good. Is five centimeters And his height is 10 cm. The number of times one needs to use the cone to completely fill the cylinder of water. So let's find the volume. The volume of a cylinder is the area of the base times the height. So this is pi r squared times the height. I'm going to leave it in units of pie. So r squared is 100, 100 times 20 is 2000. So this is 2000 bye. The volume of a cone is 1/3 area of the base times the height Which is 1 3rd pi R squared. H. So Ah this is not going to be an even number, but that's fine. Five times five is 25, 25 times 10 is 250. So this volume is 250 over three pi And we need to know how many cones give us a cylinder. So we have 250 over three pi times the number of cones Will give us 2000 pi. So pi is on both sides. It cancels which is why I left it in units of pie. Multiply 3 to both sides. So this is 250 and is equal to 6000 6000 divided by 250 is 24. So it will take 24 cones to fill the cylinder
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Find the earnings for selling the same number of each type of sandwiches. Use x to represent the number of each type of sandwiches sold. Pretzel ham sandwich cost $2.25, pretzel turkey sandwich cost $1.55, bagel ham sandwich cost $2.00, bagel turkey sandwich cost $1.30
Total earnings for selling the same number of each type of sandwiches are $7.10x. This is a simple sum.
Here, the number of each type of sandwiches sold is x.
Pretzel ham sandwich cost $2.25. so, the earnings for selling Pretzel ham sandwich is $2.25x.
Similarly, earnings for selling pretzel turkey sandwich is $1.55x, earnings for selling bagel ham sandwich is $2.00x and earnings for selling bagel turkey sandwich is $1.30x. The total earning can be found by a simple sum of all individual earning of each type of sandwiches.
Therefore, Total earnings for selling the same number of each type of sandwiches are = $2.25x + $1.55x + $2.00x + $1.30x = $7.10x
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A patient in therapy jogged 7 km, 2 km, and 4 km. How many miles did that patient jog?
Answer:
7 + 2 + 4 = 13 km
13 km x 0.62 = 8.06
The answer is about 8.06 miles
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Find the length of AD. Round the answer to the nearest hundredth.
A. 5
B. 5.1
C. 5.42
D. 6.23
Answer: C 5.42
Step-by-step explanation:
-7-(square root -18)/ 42
-7 - √2i/14
=-7 - √-18/42
-=7 - 3√2 i/42
=-7 - √2i/14
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What is an equation of the line that passes through the points (5, -3) and
(-3, -3)?
Answer:
y=-3
Step-by-step explanation:
First, we start with the basic line equation:
y=ax+b
Plugging in the two points, we get
-3=a(5)+b and
-3=a(-3)+b
Simplifying we get
b=-3-5a
b=-3+3a
Setting the two equations equal, we get
-3-5a = -3+3a
8a = 0
so a =0
plugging in a into the first equation
-3=0(5)+b
b=-3
and finally plugging a and b into y=ax+b we get
y=-3
If this was helpful pls give me brainliest <3
Equation: [tex]y=-3[/tex].
Step-by-step explanation:1. Find the slope of the equation.To find the slope of this equation, let's refer to the formula of slope:
Slope (m)= [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
Identify the points:
Let the ordered pair of (5, -3) take the number 1 for the notation. Hence:
[tex]x_{1} =5\\\\y_{1} =-3[/tex]
Note. This assigment of number 1 can be done arbitrarily, we could've named the coordinates of the other ordered pair as number 1 and the result would be the same.
Now, identify the values of the remaining ordered pair.
[tex]x_{2} =-3\\\\y_{2} =-3[/tex]
Substitute the values into the slope formula and calculate.
[tex]m=\frac{(-3)-(-3)}{(5)-(-3)} \\ \\m=\frac{-3+3}{5+3}\\ \\m=\frac{0}{8} \\ \\m=0[/tex]
2. Find the equation.To find the equation, we're going to use the formula for crafting linear equations which is the following:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Substitute the values into the formula and calculate.
[tex]y-(-3) =(0)(x-(-3) )\\ \\y+3=0\\ \\y=-3[/tex]
Note. For this formula you may use any of the ordered pairs to substitute.
3. Express your result.Equation: [tex]y=-3[/tex].
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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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Divide:
35x³-25x4y³/5x²y²
Answer:
35x³-25x4y³/5x²y² = −5x6y5+35x3
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
name a fraction between 6/7 and 1
Answer:7/8, 8/9, 9/10, 10/11, etc.
What is a set of values in math?
Answer:
Step-by-step explanation:
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4}
Finite And Infinite Sets: Union Of Sets
Power Set: Complement Of A Set
Equivalent Sets: Universal Set
Types Of Sets: Set Theory
Find the area of the figure. (Sides meet at right angles.)
Answer:
70 in^2
Step-by-step explanation:
Make a line through the middle separating the 5 by 5 square and the rectangle. Then you find the individual areas of each. The bottom shape is a 5 by 5 square, so 5*5 is 25. The top shape's length is 5+2+2 because the bottom shape is a square, so each side=5. Then the blank space between both of the length 2's is 5. As a result, the rectangle's dimensions is 9 by 5. 9*5=45. When we add both areas, we get 45+25=70
12+18×4+6-4 =
A 16
B 20
C22
ID 23
2x - 3 = -5
What is X?
Answer: x=-1
Step-by-step explanation:
2x - 3 = -5
2x - 3 +3= -5+3
2x=-2
x=-1
Answer:
x = -1
Step-by-step explanation:
To find x, we have to get x by itself.
2x - 3 = -5
Add 3 to both sides
2x - 3 +3 = -5 +3
2x = -2
Divide by 2 to both sides
2x ÷2 = -2 ÷2
x = -1
Have a good rest of your day! :)
16. Audrey and Ginnie volunteer each
month to drive meals to elderly
people. The first month they volun-
teered, they delivered a total of 60
meals. The next month they delivered
1
33 percent more than they did the
first month. The third month they de-
livered twice as many meals as the
first two months combined. How
many meals did the two girls deliver
in the third month?
(J) 80
(K) 90
(L) 160
(M) 280
Answer:
280. Answer choice D
Step-by-step explanation:
1st month: 60 meals
2nd month: 33% more than 1st month - 80 meals
(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)
3rd month: 2(60+80) = 280 meals
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(M) 280
Step-by-step explanation:
The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280
The answer is (M) 280
suppose an isosceles triangle abc has a=pi/4 and b=c=4. what is the length of a squared
The Isosceles triangle length of a² will be equal to (32 - 16√2).
What is an isosceles triangle?
The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.
A triangle that has at least two sides of equal length is said to be isosceles. Sometimes it is stated to have exactly two sides that are the same length, while other times it is stated to have at least two sides that are the same length, with the latter version mentioning the equilateral triangle as an exception.
It is given that in an isosceles triangle abc has a=π/4 and b=c=4. Then the value of a² will be calculated as below:-
Using the cosine formula to calculate the value of a².
a² = b² + c² -2bc cosФ
a² = 16 + 16 - 2(4)(4)cos(π/4)
a² = 32 - ( 32 x {√2/2})
a² = 32 - 16√2
Therefore, the length of a² will be equal to (32 - 16√2).
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Answer:
4^2(2-root2)
Step-by-step explanation:
Choose the correct statement.
-2 < -3
1 = -1
5 > -6
The statement 5 > -6 is the correct statement.
In this question, we have been given some mathematical statements.
We need to select the correct statement.
We know that, on the number line , numbers to the right are greater than numbers to the left.
Consider 1st statement
-2 < -3
If we see these numbers on the number line, then -2 is right to -3. This means, -2 is greater than -3.
So, above statement is False.
Consider 2nd statement
1 = -1
If we see these numbers on the number line, then we can observe that both the numbers are not equal.
So, above statement is False.
Consider 3rd statement
5 > -6
If we see these numbers on the number line, then 5 is right to -6. This means, 5 is greater than -6.
So, above statement is True.
Therefore, the statement 5 > -6 is the correct statement.
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Please help me simplify
Step-by-step explanation:
3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)
is 4/5 equivalent to 16/20
Answer:
yes
Step-by-step explanation:
you have to divide by the top and bottom to get the answer to the lowest number
Answer:
yes
Step-by-step explanation:
Check by changing to a common denominator
Hot dogs come in packages of 8. What is the least number of hot dogs and buns you can buy so that you have the same of each
The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so you have the same number of sausages and buns.
What is the least number of hot dogs and buns you can buy so that you have the same of each?Sausages come ni packages of 8, while buns come in packages of 12. So here we need to find the lowest common multiple between 8 and 12.
If we decompose these two numbers as a product of primes:
8 = 2*2*2
12 = 2*2*3
To have the lowest common multiple we need to multiply 12 by 2 and 8 by 3, then we get:
8*3 = 24
12*2 = 24
The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so yo have the same number of sausages and buns.
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I need help. Will give brainliest
Answer:
4/15
i have my ways
Question 5
Calculate the percentage rounded to a whole number. 140 is what percentage of 206?