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3 years ago

If Kevin makes c toys in m minutes, how many toys can he make per hour?

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer:

The number of toys that Kevin can make per hour is equal to $60\frac{c}{m}\ toys$

Step-by-step explanation:

we know that

Kevin makes c toys in m minutes

Remember that

1 hour=60 minutes

Using proportion find out how many toys can be make in 60 minutes (one hour)

Let

x -----> the number of toys that Kevin can make per hour

$\frac{c}{m}=\frac{x}{60}\\ \\x=60\frac{c}{m}\ toys$

therefore

The number of toys that Kevin can make per hour is equal to $60\frac{c}{m}\ toys$

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Okay so this friend has a 8, 9, 10 as her options that she pays at.

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4/11 (11 because that is the number of possibilities you get for two dice)

that leaves 7/11 possibilities of rolling and not paying!

36% lands on a spot that she pays at and about 64% possibilities of not paying.

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3 years ago

A sequence is defined by the recursive function f(n+1)= f(n) -2. If f(1) =10. what is f(3)?

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Answer:

f(3) is 30

Step-by-step explanation:

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3 years ago

X = sin 1/2θ, y = cos 1/2θ, −π ≤ θ ≤ π(a) eliminate the parameter to find a cartesian equation of the curve.

Roman55 [17]

First solve for theta in 'x' equation:
$\theta = 2 sin^{-1} x$

Substitute into 'y' equation:
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Simplify by rewriting cos in terms of sine.
Using pythagorean identity: $sin^2 + cos^2 = 1$

$cos = \sqrt{1-sin^2} \\ \\ y = \sqrt{1-sin^2 (sin^{-1} x)}$
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3 years ago

Read 2 more answers

What is the answer to 15% of 18Kg

Maurinko [17]

Answer:

27/10, or 2 7/10 kg

Step-by-step explanation:

We first have the expression 15/100*18, which simplifies to 3/20*18. If we multiply and simplify, we get 27/10, or 2 7/10

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3 years ago

Read 2 more answers

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest te

irakobra [83]

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
 $A= \frac{3 \sqrt{3} }{2} a^{2}$
where
A - the area of the hexagon
a - the side of the hexagon

Therefore:
 $A= \frac{3 \sqrt{3} }{2} 12^{2}$
 $A= \frac{3 \sqrt{3} }{2} 144$
 $A= 374.4$

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

$A_{1}= \frac{a*h}{2}$

where
h - height of the triangle.


Since apothem (b) of the hexagon is the height (h) of the triangle, then:
$A_{1}= \frac{a*h}{2}$
 $A_{1}= \frac{12*10.4}{2}$
 $A_{1}= 62.4$

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is

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3 years ago