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3 years ago

What is the surface area of this figure?

Mathematics

2 answers:

disa [49]3 years ago

7 0

Answer:

72 sq. mi

Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

Deffense [45]3 years ago

6 0

Answer:

72 mi^2.

Step-by-step explanation:

This consists of 2 congruent triangles and 3 rectangles.

Te area of a triangle = 1/2 * base * height and the area of a rectangle = length * width. So:

Surface area = (2 * 1/2 * 3 * 4) + 5 * 5 + 5 * 4 + 5 * 3

= 12 + 25 + 20 + 15

= 72 mi^2.

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3 years ago

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photoshop1234 [79]

Complete Question:

Attached below as picture.

Answer:

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Step-by-step explanation:

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3 years ago

The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero b

wariber [46]

Answer:

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When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

$x^{0}=1$
$(x^{m})^{n}=x^{mn}$
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$\frac{x^{m}}{x^{n}}=x^{m-n}$

The quotient rule for exponents states that:

$b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

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3 years ago

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lyudmila [28]

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2 years ago

Evaluate -x+4 when x = -2

musickatia [10]

Answer:

Step-by-step explanation:

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f(-2)=6

8 0

3 years ago

Read 2 more answers