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pickupchik [31]
3 years ago
6

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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Over the three evenings,Karen received a total of 137 phone calls at the call center. The third evening, she received 4 times as
marin [14]

Answer:

1st: 22, 2nd: 27, 3rd: 88

Step-by-step explanation:

Make an equation

If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.

x+x+5+4x=137

Combine like terms

6x+5=137

Subtract 5 from both sides

6x=132

Divide by 6 on both sides

x=22

First:

22 calls

Second:

x+5

22+5

27 calls

Third:

4x

4*22

88 calls

Hope this helps!

3 0
2 years ago
The system of equations below represents the hangers: 2x + 2y = 20, 3x = 2y. Which of the following points is a solution to this
Aleonysh [2.5K]

Answer:

5lb

Step-by-step explanation:

8 0
2 years ago
A cylinder has a volume of 200 cubic centimeters. If the height of the cylinder is 10 centimeters, what is the radius of the cyl
musickatia [10]

Answer:

The radius of the cylinder is 2.52 cm.

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.  We can solve this for r² by dividing both sides of the equation by πh:

r² = V / (πh)

Then the desired radius is found by taking the square root of this.

r = √{V / [πh]}

                  200 cm^2

Here, r² = ------------------- = 6.37 cm^2

                   3.14(10 cm)

and so r = √6.37 cm^2 = 2.52 cm

The radius of the cylinder is 2.52 cm.

6 0
2 years ago
Read 2 more answers
Use the table that shows the results of a class poll.
Talja [164]

Answer:

The people who said Yes to having a pet in their home is greater

Step-by-step explanation:

We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:

18% = 18/100

14/25 * 4 = 56/100

18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.

I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?

6 0
2 years ago
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
antiseptic1488 [7]

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

(9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}(the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

brainly.com/question/3112062

8 0
2 years ago
Read 2 more answers
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