All categories

3 years ago

What is the value of a?

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

$A=\dfrac{b_1+b_2}{2}\cdot h$

$b_1,\ b_2$ - bases

$h$ - height

We have:

$A=128,\ b_1=a+2,\ b_2=a-2,\ h=8$

Substitute:

$128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8$

$128=8a$ <em>divide both sides by 8</em>

$16=a\to a=16$

You might be interested in

What is the Contra Positive to: If a figure is a Pentagon then it has 5 sides?

aleksandrvk [35]

Answer:

$if \: your \: paradox \: is \: true \\ \: then \: you \: are \: wrong$

7 0

3 years ago

Find the equation for 4x/5=1/3(2x-15)

tia_tia [17]

4x / 5 = 1 / 3 ( 2x - 15 )
4x / 5= ( 2x - 15 ) / 3
4x × 3 = 5 ( 2x - 15 )
12x = 10x - 75
12x - 10x = - 75
2x = - 75
x = - 75 / 2
x = - 37.5

7 0

4 years ago

Which is greater 12 cups or 3 quarts

Zielflug [23.3K]

Neither is greater.

1 quart = 4 cups
2 quarts = 8 cups
3 quarts = 12 cups

So they're equal.

4 0

3 years ago

For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3

Readme [11.4K]

For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x and 2 for y and solve for k

y = kx

2 = k(3)

Divide both sides by 3

$\frac{2}{3} =k$

Now we plug in 2/3 for k

$y=\frac{2}{3}x$

Given x=-0.5 and find out y

$y=\frac{2}{3}(-0.5)$

y=-0.33

the value of y is -0.33 when x=-0.5

4 0

3 years ago

An old home has a very steep roof. For every four feet of run, it has three feet of rise. What is the pitch or slope of the roof

RUDIKE [14]

Hey there!

$\large\boxed{\frac{3}{4} \:\:or\:\: 0.75}$

The formula for slope is rise over run.

If the rise is 3 feet and the run is 4 feet, then the slope, or the pitch, is 3/4.

This can be written in decimal form as 0.75.

Hope this helps!

5 0

3 years ago