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Dennis_Churaev [7]
3 years ago
9

Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Volume = \frac{1}{3} \pi r^{2} h

150 = \frac{1}{3} x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

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A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not
Korolek [52]

Answer:

rational

Step-by-step explanation:

that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.

4 0
3 years ago
If you have a 12 side die and a 6 side die what is the probrability it lands on 5
umka2103 [35]

Answer:

For the 12 sided one it would be 1/12

For the 6 sided one it would be 1/6

Combine those together and it would be <u>3/12</u> which is equal to <u>1/4</u>

Step-by-step explanation:

5 0
2 years ago
Amir started a business with john and jack. Amir invested 2/6 of the amount to start a business. John 2/5 of the investment. The
Nonamiya [84]

First, we need to add 2/6 and 2/5.

2/6 can be simplified to 1/3

We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.

Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.

Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.

5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.

Let's say that x is the total amount invested by all three.

6000/x would equal 4/15.

Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.

90000 would equal 4x. Divide both sides by 4 to get x.

90000 divided by 4 would be 22500.

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7 0
3 years ago
Can anyone help me with this? I know that angle B is 90°
sergey [27]

Answer:

angle c is 58 degrees and and angle a is 42 degrees

Step-by-step explanation:

3 0
2 years ago
A jet climbs at a steady rate at an angle of inclination of 0.5 degree during game off what will its he height be after a 2.2 km
Aneli [31]
A right triangle will be formed with 2.2 km as the hypotenuse, 0.5 degrees as the angle, and an unknown height (see attachment).

Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.

In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.

Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km

Hope I helped! If you have questions on any of the steps, please comment below.</span>

3 0
3 years ago
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