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GaryK [48]
3 years ago
12

a counter top is in the shape of a trapizoid . the lengths of the base is 70 1/2 and 65 1/2 inches long. the area of the counter

top is 1,224 square inches . write and solve an equation to find the height of the countertop.

Mathematics
1 answer:
Grace [21]3 years ago
4 0
I attached a photo of the work below :-) 

Area of a trapezoid= [(a+b)÷2]h
1,224 in²= [(65.5 in+70.5in)÷2]h
1,224in²= (136÷2)h
1,224 in²= 68h
(1,224 in²÷68)= 68h÷68 (elimination)
h= 18 inches

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hjlf
use s=r0

but first convert 360 degree to radian
you will get 6.284 radian

then you substitute and get the answer!

12= r (6.284)
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8 0
3 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
A fish swims at 10 ft below sea level , and then swims another 10 ft deeper to avoid a shark. Write an addition expression that
sergij07 [2.7K]

Answer:

0+(-10+-10) i don't know if this is what you need..sry if it's not

Step-by-step explanation:

3 0
3 years ago
Under his cell phone plan, Xavier pays a flat cost of $44 per month and $3 per
wolverine [178]

Answer:

Answer:

4.8 gigabytes

Step-by-step explanation:

Let the number of gigabytes of data = x

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The above expression above is represented by the equation:

$44 + $3 × x = $58.40

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Solving for x

Subtract 44 from both sides

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Step-by-step explanation:

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Help!!!! Quick and easy!
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Make an equation
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