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4 years ago

The formula for the area of a trapezoid is A = 1/2 (b+b) h. Explain why the bases of a trapezoid need to be added in the formula

Mathematics

1 answer:

posledela4 years ago

3 0

Step-by-step explanation:

Look at the picture.

We connect two congruent trapezoids as in the picture.

We created a parallelogram with a base length of b₁ + b₂ and a height h equal to the height of the trapezoid.

The formula of an area of a parallelogram:

$A_p=(base)(height)\to A_p=(b_1+b_2)h$

The area of the trapezoid is half of the parallelogram area.

Therefore we have the formula of an area of trapezoid:

$A_t=\dfrac{(b_1+b_2)h}{2}$

Therefore we need to be added the bases of a trapezoid.

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Y/6=8 or read as follows Y divided by six equals eight

melomori [17]

Answer:

y/6=8

Multiply both sides by 6

6y/6) = 8×6

Simplify

y=48

4 0

2 years ago

Find the solution of ×\2-1/5=×\3+1/4 please help me with this

ale4655 [162]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

Assuming that the beginning equation is $\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}$

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

$\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}$

Now, we can multiply each side by 60, which will remove the fractions

$30x-12=20x+15$

Now we can add 12 to each side

$30x=20x+27$

Now subtract 20x from each side

$10x=27$

And lastly, divide each side by 10

$x=\frac{27}{10}$

4 0

3 years ago

A proportional relationship can be written as an equation in the form

Viktor [21]

the explanation and the answer in the photo

8 0

3 years ago

Samuel and Christopher go to the movie theater and purchase refreshments for their friends.

insens350 [35]

Answer:

Drink=5.75

Popcorn=1.83

Percentage for drink=75.9%

Step-by-step explanation

Let the popcorn be p

the drinks be d

6p+4d=34....(1)

12p+7d=66.25...(2)

Multiply (1) by 2

12p+8d=72....(3)

Substrate (2) from (3)

d=5.75

Substitute the value for d into (1)

6p+4(5.75)=34

6p+23=34

Substrate 23 from both sides

6p=11

Divide both sides by 6

p=1.83

So for one drink=$5.75

For one popcorn=$1.83

To determine the% for drink

5.75+1.83=7.58

5.75/7.58 ×100

575/7.58

75.858~75.9%

The percentage for drink is 75.9%

7 0

4 years ago

Perimeter of one triangle is 5 8 of the perimeter of a similar triangle. The difference of the lengths of two corresponding side

Makovka662 [10]

Answer:

15 m and 24 m

Step-by-step explanation:

Let x represent the length of the longer side. Then 5/8x is the shorter side and the difference is x -5/8x = 3/8x.

You say the difference is 9 m, so ...

... 3/8x = 9 m

... x = (8/3)(9 m) = 24 m . . . . longer side

and the shorter side is (5/8)(24 m) = 15 m. . . . . shorter side

8 0

3 years ago