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Semmy [17]
2 years ago
14

Find the volume of the cone with radius 35dm and slant height 37dm

Mathematics
1 answer:
Trava [24]2 years ago
4 0

Answer:

Volume of cone is: 47464.23 dm³

Step-by-step explanation:

We are given:

Radius of cone r = 35 dm

Slant Height of cone h = 37 dm

We need to find Volume of the cone.

The formula used to find Volume is: Volume=\pi r^2\frac{h}{3}

Putting values and finding volume:

Volume=\pi r^2\frac{h}{3}\\Volume=3.14*(35)^2 *\frac{37}{3}\\Volume=47464.23\ dm^3

So, volume of cone is: 47464.23 dm³

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I need to get this done
Allushta [10]

Answer:

x = 17 and y = 8

Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

2x = 34

Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

5y + 140 = 180

5y = 40

y = 8

7 0
3 years ago
and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)
Cloud [144]

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

4 0
3 years ago
Which of the following verifies that AABC is similar to ADEF?
nasty-shy [4]

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

6 0
3 years ago
Read 2 more answers
What is -6 to the negative third power
Montano1993 [528]
(-6)^-3 is the same as
\frac{1}{(-6)^{3}}
Which is
\frac{1}{216}
5 0
3 years ago
Please help!
Marina86 [1]

Refer to the image attached.

Since, we have to divide the polynomial 4x^2-2x+3 by (x+2) using synthetic division.

We will divide the coefficients  4  -2  3  by -2

First term = 4 will remain same.

Second term = (-2 \times 4) -2 = -8-2 = -10

So, second term = -10

Third term = (-2 \times -10)+3 = 23

So, third term = 23

So, 4   -10   23  is the correct answer

So, Option 2 is the correct answer.

5 0
3 years ago
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