The length of the parallel sides of a trapezoid are 15 m and 25 m. If the perpendicular distance between the parallel sides is 10 m, what is the area of the trapezoid?

Answers

Answer 1

Answer:

Area of trapezoid = 200 m²

Step-by-step explanation:

Parallel side1 a= 15m

Parallel side2 b= 25m

Perpendicular distance h = 10 m

We need to find area of the trapezoid.

The formula used to find area of the trapezoid is: [tex]Area \ of \ trapezoid=\frac{a+b}{2}h[/tex]

Putting values and finding area of the trapezoid:

[tex]Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2[/tex]

So, area of trapezoid = 200 m²


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Which graph correctly matches the equation y = 2-x?

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Answer:

This is the graph I got (0,2) (2,0)

Step-by-step explanation:

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Answer:

x = 15

Step-by-step explanation:

AEB is a right angle, a right angle is 90 degrees

this means 5x+15 needs to equal 90

plug in 15 for x

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Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?

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Answer: 26 years old

Step-by-step explanation:

Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3Simplify the equations --> 4x-12=x+66Solve the equation: 3x-12=66 --> 3x=78 --> x=26

This is the same as other age problems, just with the extra step of distributing the multiplication.

1+1+????????????????????????

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Answer: 4

Step-by-step explanation:

1+1+2=4. Jk

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Step-by-step explanation:

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Find the intersection

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I was going to answer but she gave you the answer sooo

Cynthia is training to run the 100 yard dash. The first week she ran it is 14.0 seconds. The third week she ran it in 13.1 seconds. What is the percent change from week 1 to week 3 rounded to the nearest tenth of a percent?

Answers

Answer:

6.43% change

Step-by-step explanation:

Have a good one

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

First week:

Time taken to run 100 yards = 14 seconds

Third week:

Time taken to run 100 yards = 13.1 seconds

The percentage change in the time from the first week to the third week:

= [(Time taken at the first week - Time taken at the third week) / Time taken at the first week ] x 100

= [(14 - 13.1) / 14] x 100

= 0.9/14 x 100

= 6.4%

This means that there is 6.4% from the first week to the third week.

Thus,

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

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25% of the dogs at a park are Corgis. There are 28 dogs at the park. How many dogs at the park are NOT Corgis?
07
O 14
O 20
O 21
O 24

Answers

Answer: 21

Step-by-step explanation:

Can someone please help me

Answers

Answer:

The value of x is 7

AC congruent to DF because AC = 13.5 in. and DF = 13.5 in, EF congruent to BC because EF = 12 in. and BC = 12 in., ∠C congruent to ∠F. The triangles ACB and DEF congruent by the SAS Triangle Congruence Theorem only when x = 7

Step-by-step explanation:

If two sides in a triangle congruent to two sides in other triangle and the including angles between the two sides are congruent in the triangles, then the two triangles are congruent by the SAS postulate of congruency

In the given figure

→ If ∠C ≅ ∠F

∵ m∠C = m∠F

∵ m ∠ C = (2x + 14)°

∵ m∠F = (4x)°

→ Equate them to find x

4x = 2x + 14

→ Subtract 2x from both sides

∴ 2x = 14

→ Divide both sides by 2

x = 7

→ In Δs ABC and DEF

∵ AC congruent to DF because AC = 13.5 in. and DF = 13.5 in

∵ EF congruent to CB because EF = 12 in. and CB = 12 in.

∵ ∠C congruent to ∠F

∴ The triangles ACB and DEF congruent by the SAS Triangle Congruence

   Theorem only when x = 7

Find the line of reflection if the image of (-5, -2) is each of the following
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b. (2, 5)

c. (-5, 0)

d. (1, -2

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

how old the fÛÇk are you

The pull of gravity is different on Earth than on the Moon. An object that weighs 25 pounds on Earth weighs about 4 pounds on the Moon. An astronaut, wearing all the necessary gear, weighs 500 pounds on Earth. How many pounds would the astronaut with gear weigh on the Moon?

Answers

Answer:

About 80 pounds

Step-by-step explanation:

25 / 4 = 6.25

500 / 6.25

Answer:

80 pounds

Step-by-step explanation:

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?


A. $9.72
B. $21.87
C. $97.20
D. $218.70

Answers

Answer:

21.87

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4 pounds of sugar can make 8 batches of candy corn. How many pounds of sugar are needed if we want to make 12 batches of candy corn? ​

Answers

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The ratio of females to total students in a mathematics class is 18 to 30. What fraction of the class is male? What percent is male?

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Using trigonometry and the Soh Cah Toa method you can find this. Because you are looking for an angle you have to use the inverse and because it is adjacent and hypotenuse you use cosine. So take cos*-1( 35/38) because 35 is the adjacent and 38 is the hypotenuse.

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Step-by-step explanation:

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Answers

Answer:

the answer is 4.96703296703

Step-by-step explanation:

hope it helps :)

Answer:

4.96703296703

Step-by-step explanation:

Dividing 452 by 91 will give you 4.96703296703.

The junior high art club sells candles for a fundraiser. The first week of the fundraiser, the club sells 7 cases of candles. Each case contains 40 candles. The goal is to sell at least 13 cases. During the second week of the fundraiser, the club meets its goal.

Answers

Answer:

The minimum number of cases sold the second week was

The number of candles sold in the second week is 240 candles

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Number of cases sold on first week = 7 cases

Number of candles in each case = 40 candles

Total cases of candles to be sold = 13 cases

Remaining cases of candles to be sold in second week =
Total cases of candles to be sold - Number of cases sold on first week

Remaining cases of candles to be sold in second week = 13 - 7

                                                                                             = 6 cases

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Hence , the number of candles sold in the second week is 240 candles

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The LCD is 45. And for part 2 the answer is 22
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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Solve the problem.
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Step-by-step explanation:

Filipino Christmas practices. Every country has its own set of traditions to follow for the Yuletide season, but Filipinos do it best. After all, we celebrate Christmas longer than any other country ...

have a nice day ahead hope it will help you

love u dear

solve the equation
2x-1 x
——- + — = 2
4 3

Answers

I think the question is 2x/4 - 1/3 + x = 2

So, if I solve for this:

[tex] \frac{2x}{4} - \frac{1}{3} + x = 2[/tex]

[tex] \frac{x}{2} - \frac{1}{3} + x = 2[/tex]

[tex] \frac{3x}{6} - \frac{2}{6} + \frac{6x}{6} = 2 [/tex]

[tex] \frac{3x - 2 + 6x}{6} = 2[/tex]

[tex]\frac{(3x + 6x) - 2}{6} = 2[/tex]

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[tex]9x - 2 = 2 \times 6[/tex]

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[tex]9x = 12 + 2[/tex]

[tex]9x = 14[/tex]

[tex]x = \frac{14}{9} [/tex]

Jose got 56 questions correct on a test, which gave him a 70%. How many questions were on the test

Answers

Divide correct questions by percentage:

56/ 0.7 = 80

There were 80 questions total.

Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1

Answers

I think the answer must be b

A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate of production stays the same?


please help if you have the time :)

Answers

Answer:

The answer is 112

Step-by-step explanation:

first you add 48 together twice to get 96 which represents 6 hours. Then you divide 48 by 3 to get 16. So you add 16 to 96 which represents 2 hours giving you a total of 112 tons of flour for 8 hours.

Mary is five times as old as Fred. In three years Mary will be 4 times as old as Fred. Find their present ages?

Answers

ans

here let mary age be x and fred be y

1st equation

x= 5y

2nd equation

x+3 =4(y+3)

now from 1st equation putting value of x in equation 2

x+3 = 4y+12

5y+3 = 4y +12

y = 9

so fred is 9 and mary is 45

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