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SpyIntel [72]
3 years ago
9

4. Find the surface area of a triangular prism with height 30 inches, and a right triangle base with side lengths 15 inches and

20 inches, and hypotenuse length
25 inches
O A 1950 in.
B. 2100 in.?
C. 2400 in.
D. 2800 in.?
Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

The answer would be B.2100

Step-by-step explanation:

To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.

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Find the slope (-2,-4) (-5,5)
diamong [38]

Answer:

Your answer would be Slope m = -3

Step-by-step explanation:

Step 1: Graph the points on a <u>coordinate plane</u>( <em>refer to image!)</em>

Whenever your trying to find a slope of 2 order pairs, remember this

m = rise/run. ( Slope = rise over run.) = Δy/Δx

Now we solve:

M = rise/run = Δy/Δx

M = y2 - y1/x2-x1

M = 5 - (-4) / -5-(-2)

<u>So we get  M = 9/-3 and </u><u>9 divided by -3 is -3 </u>

<u />

So, the slope of (-2,-4) and (-5,5) is -3.

5 0
2 years ago
Can you please answer this question ​
schepotkina [342]

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

4 0
3 years ago
A survey asked 50 students if they play an instrument and if they are in band.
Strike441 [17]

Answer:

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Step-by-step explanation:

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Blababa [14]
I believe the answer to this one would be 75.0%
5 0
3 years ago
Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

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Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
2 years ago
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