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Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer

gregori [183]

There are two triangular faces and three rectangular faces.
The triangular faces are congruent, so they have the same area. We calculate one and we'll know both.
The three rectangles are different.

Triangular face (each)
Although you can hardly see in the colored figure, there is a small symbol on the right side showing that the 4 km side and the 3 km side of the triangles are perpendicular. That means those sides are the base and the height.
A = (1/2)bh = (1/2)(3 km)(4 km) = 6 km^2

Rectangular faces:
A = LW = 7 km * 3 km = 21 km^2
A = LW = 7 km * 5 km = 35 km^2
A = LW = 7 km * 4 km = 28 km^2

total surface area = 2 * 6 km^2 + 21 km^2 + 35 km^2 + 28 km^2

total surface area = 96 km^2

5 0

2 years ago

In triangle ABC, what is the measure of b if a = 51, c = 38, and B = 11°?

diamong [38]

Answer:

see photo attached for your reference.

Step-by-step explanation:

15.50 (to the nearest hundredth)

7 0

2 years ago

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98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?

jeka57 [31]

Answer:

sum of the first 27 terms = -1431

Step-by-step explanation:

<h3>arithmetic series sum of the first n terms formula:</h3>

$s_{n} = \frac{n}{2} (2a + (n - 1)d)$

n = 27 terms

first term, a = 25

common difference, d = 19 - 25 = -6

substitute the values into the formula

$s_{27} = \frac{27}{2} (2(25) + (27 - 1)( - 6))$

$s_{27} = 13.5(50 + 26( - 6))$

$s_{27} = 13.5(50 - 156)$

$s_{27} = 13.5( - 106)$

$s_{27} = - 1431$

4 0

2 years ago

What is the answer to 12 + 35 + 24 + 56 + 92 + 16 + 23 x 23 x 45 x 0 ?

8_murik_8 [283]

I will come back to this when I am older

7 0

2 years ago

I tried using the standard deviation formula but still got the wrong answer. How would I solve this?

nadezda [96]

Answers:

First box = 864

Second box = 3136

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Explanation:

The weird looking E symbol is the greek uppercase letter sigma which stands for "sum". You'll be adding everything in the x^2 column to find that 64+144+256+400 = 864, which is already done for you in the table (as the 864 is at the bottom of the second column, in the "total" row).

In short, you just copy the 864 into the first box.

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For the second box, you'll square the 56 to get 3136

This is because the table shows that adding up all the x values leads to 56

(8+12+16+20 = 56)

So that means $\sum x = 56$ and $\left(\sum x\right)^2 = (56)^2 = 3136$

7 0

2 years ago

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