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olasank [31]
3 years ago
9

What is the surface area of a conical grain storage tank that has a height of 37 meters and a diameter of 16 meters? Round the a

nswer to the nearest square meter. A. 2,831 square meters B. 2,664 square meters C. 1,152 square meters D. 1,131 square meters
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
The surface area of a cone is equal to the base plus the lateral area.

The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.

To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433

The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)

Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
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G(x) = -3/2x-9, if G(x) = -48, find x
Svetlanka [38]

Answer:

x=26

Step-by-step explanation:

first rewrite the problem since u know that G(x)=-48

-48=-3/2x-9

second you want to add the 9 to -48 which gives u -39

-39=-3/2x

third you want to times the reciprocal so it would be

-2/3 times -39/1

u can cross out the negatives and turn them into a positive

fourth you can cross cancel 3 and 39 which now the problem looks like this

2/1 times 13/1

which you would times 2 and 13 which your answer would be

26

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3 years ago
Which number line model represents 1 + (-3) ?
Troyanec [42]
The 2nd number line model represents 1 + ( -3 ).
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3 years ago
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Point p is the midpoint of de dp 6x+4 and de = 14x -10
vfiekz [6]

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

3 0
2 years ago
BRIANILEST!!Rushawn lined up the interior angles of the triangle along line p below.
astra-53 [7]
Your answer would be the last option: What will happen to the individual sections cannot be determined, but the size of the two sections together increases.

This is because angles on a straight line add to 180°, so if angle C decreases, angles A and B must collectively increase to make up for the loss. For example, if C = 20° and it decreases to 15°, A + B + C would equal 175° and so A and B would need to increase to make it 180°.

The reason we can't determine what happens to the individual sections is that they could either both increase, or one could increase and one could decrease, as long as they collectively make up for the decreased angle.

I hope this helps! Let me know if you have any questions :)
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2 years ago
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9) Simplify 5^12 ÷ 5^3 A. 5^4 B. 5^9 C. 1^4 D. 1^9
Mashcka [7]
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12-3=9

B. 5^9 is the answer.

I hope this helps!
~kaikers
5 0
2 years ago
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