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3 years ago

A Can has a volume of 62.8 inches if the height of the can is 5 inches what is the radius of the canned to the nearest 10th

Mathematics

1 answer:

olasank [31]3 years ago

3 0

The radius of can is 2 inches

Solution:

Given that, Can has a volume of 62.8 cubic inches

Height of can is 5 inches

To find: Radius of can

The can is of shape cylinder

The volume of a cylinder can be found using the formula:

$V = \pi {r}^{2} h$

Where, "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

$62.8 = 3.14 \times r^2 \times 5\\\\62.8 = r^2 \times 15.7\\\\r^2 = \frac{62.8}{15.7}\\\\r^2 = 4\\\\\text{Take square root on both sides }\\\\r = 2$

Thus the radius of can is 2 inches

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Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the

Snezhnost [94]

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

Formula : a² + b² = c²

2.4² + 6.5² = c²

5.76 + 42.25 = c²

c = √48.01

c ≈ 6.93

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

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2 years ago

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Find all real zeros of t f(x)=x-14x² + 47x-18

BabaBlast [244]

Answer:

x=3/7 and x= 3

Step-by-step explanation:

First simplify:

-14 x^2 +48x -18

divide everything by -2

-2(7 x^2 -24x +9) (Multiply the leading coefficient 7 by the constant 9)

-2 (x^2 -24x +63)

-2 [(x-3)(x-21)] Now divide the 7 that you multiplied earlier from 3 and 21

-2 [(x-3/7)(x-21/7)]

-2 [(7x-3)(x-3)]

Hence, the zeroes are 3/7 and 3

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3 years ago

A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

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3 years ago

What is compression

zysi [14]

Answer:

the action of compressing or being compressed.

the reduction in volume (causing an increase in pressure) of the fuel mixture in an internal combustion engine before ignition.

Step-by-step explanation:

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3 years ago

Write the equation in standard form for the circle with center (0, 9) passing through (0, 27/2)

sammy [17]

Given

coordinates of center= (0,9)

Circle passes through (0, 27/2)

Find

Equation of circle

Explanation

The equation of circle in standard form is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}$

We know the circle passes through (0,27/2), then

$\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}$

So the equation in the standard form is

$(x-0)^2+(y-9)^2=4.5^2$

Final Answer

$(x-0)^2+(y-9)^2=4.5^2$

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1 year ago