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Mathematics

1 answer:

zzz [600]3 years ago

8 0

Answer:

The answer is 12.

Step-by-step explanation:

So one side is 1.5 in. and you need the surface area, just think about it like this there are 6 squares and each has 4 sides correct, so you multiply 1.5 x 4 which that equals 6. So the surface area of one square is 6. There are 6 squares so just multiply 6 by 6 and you have 12. The answer is 12.

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Artyom0805 [142]

Answer:

81°

Step-by-step explanation:

Please refer to the attachment(s) for explanations

5 0

3 years ago

The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window

Ivenika [448]

Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = $\frac{1}{2}$ × Base × Height

Plugging values in formula, we get

20 = $\frac{1}{2} b \times (b-3)$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$40=b\left(b-3\right)$

$40=b^2-3b$

$b^2-3b-40=0$

Factoring quadratic, we get

$\left(b+5\right)\left(b-8\right)$ =0

b+5=0

b=-5

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b=8.

For base we can take only positive value.

<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>

6 0

3 years ago

Find the altitude and area of an equilateral triangle

Nataliya [291]

If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
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Area = side^2 * sq root (3) / 4