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jonny [76]
3 years ago
5

Tom had a total of $220 and he spent $35 on a basketball ticket . What percent of his money did he have left?

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer: 84.09%


Step-by-step explanation:

1. 220-30=? ?=185

2. Divide 185 by 220 (as a fraction, 185 out of 220 is 185/220 which also means divide) 185 divided by 220 is about 0.8409

3. Multiply 0.8409 by 100 (since there is two zeros in 100 we can move the decimal to the right twice which gets you 84.09



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The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
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Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

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A point on the terminal side of an angle theta in standard position is (negative 24 comma 18 ). Find the exact value of each of
Vitek1552 [10]

Answer:

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(II) Cos Θ =-3/5

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(V) Sec Θ = -5/3

(VI) Cot Θ = -3/4

Step-by-step explanation:

(-24,18)

This lies in the second quadrant from the diagram.

Note that the angle is at the origin (0,0).

Using Pythagoras triples(18,24,30)

Hypotenuse = 30

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Adjacent=18

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Since Cosine is negative in the Second Quadrant

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(V) Sec Θ = 1/cos Θ = -5/4

(VI) Cot Θ = 1/tan Θ = -3/4

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