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3 years ago

What is the surface area for this design?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5

2 2

Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5

2 2 27.5

Right = Rectangle = l * w 6.4 * 5 = 32 32

Left = Rectangle = l * w 5 * 5 = 25 25

Bottom = Rectangle = l * w 9 * 5 = 45 45

Top = Rectangle = l * w 5 * 5 = 25 25

157 in^2

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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Debora [2.8K]

Answer:

The width of the rectangle is 14'8", and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

$l = 2w + 4$

The perimeter is 96 feet:

$p = 96$

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

$p = 2l + 2w$

We can solve for w by plugging the other two values into the last:

$p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}$

Now we can find the length by plugging w into the first equation:

$l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}$

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

$p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96$

So we know our answer's correct

8 0

3 years ago

3-18 even problems algebra 1 math

Tresset [83]

The answers for problems 13-18 are -9, 8, -2, 5, -2, and 15 after equating the same functions.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

From problems 13 - 18, some functions are shown,

13) h(x) = -7x, h(x) = 63

Equate both the function:

-7x = 63

x = -9

14) t(x) = 3x, t(x) = 24

Equate both the function:

3x = 24

x = 8

15) m(x) = 4x + 15, m(x) = 7

4x + 15 = 7

4x = -8

x = -2

16) 6x - 12 = 18

x = 5

17) 1/2 x - 3 = -4

1/2 x = -1

x = -2

18) j(x) = -4/5 x + 7, j(x) = -5

-4/5 x + 7 = -5

-4/5 x = -12

x = 15

Thus, the answers for problems 13-18 are -9, 8, -2, 5, -2, and 15 after equating the same functions.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0

1 year ago

A city block is a square with each side measuring 98 yards. Find the length of the diagonal of the city block.

vlabodo [156]

To find the answer to this, we can use the formula for the diagonal of a square,

a $\sqrt{2}$ , with a being the length of the side. That meaans that the length of the diagonal is 98 $\sqrt{2}$ , which is approximately equal to 138.59.

3 0

3 years ago

Next in sequence 9/16, -9/8, 9/4, -9/2, 9, ?

Fudgin [204]

Answer:

-18

Step-by-step explanation:

*2, *(-2), *2, *(-2) ...

5 0

3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Archy [21]

Answer:

There is information missing from this question. Cannot be answered in its current form.

Step-by-step explanation:

3 0

3 years ago