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3 years ago

Find the height of a cylinder with a volume of 12157 mm3 and a radius of 9 mm.

Mathematics

1 answer:

Ivahew [28]3 years ago

5 0

Volume of a Cylinder = pi * r^2 * h

V / (pi*r^2) = h

12157 / (pi * 9^2) = h = 47.774

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guajiro [1.7K]

It depends how you want to solve it
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3 years ago

Evaluate i^31 please help

Nadya [2.5K]

ANSWER

${i}^{31} = - i$

EXPLANATION

We want to evaluate

${i}^{31}$

Use indices to rewrite the expression as:

$= {i}^{30} \times i$

We know that

${i}^{2} = - 1$

So we rewrite the expression to obtain;

$= ({ {i}^{2}) }^{15} \times i$

This gives us;

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3 years ago

Given that y = 9 cm and 0 = 23°, work out x rounded to 1 DP.<br> у<br> х<br> 00<br> PLEASE HELP

lozanna [386]

Answer:

x ≈ 3.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{y}$ = $\frac{x}{9}$ ( multiply both sides by 9 )

9 × sin23° = x , then

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6 0

3 years ago

Which expression is equivalent to 4 sqrt 16x^11y^8/ 81x^7y^6 Assume x> 0 and y=0

Romashka [77]

One interpretation of your intent would be as follows:

16x^11y^8

Find 4 √ [-----------------]. Is that what you meant?

81x^7y^6

4*x^5*√x*y^4

If so, then the correct result would be 4 ---------------------

9*x^3*√x*y^3

and this could be reduced to:

4*x^5 * y^4 * √(x) 4*x^2*y

4 --------------------------- = -------------

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8 0

3 years ago

Read 2 more answers

A charter airline finds that on its Saturday flights from Philadelphia to London, all 120 seats will be sold if the ticket price

Nataliya [291]

Answer:

a) $P=3(120-s)+200$

b) $215 \leq P \leq 290$

Step-by-step explanation:

For this case we can use a linear model to solve the problem.

s) Create an equation to express the increase on the price tickets and the number of seats sold

$s$ number of seats, if w analyze the info given the number of seats after increase the price is given by $120-s$ .

And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.

We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:

$P-200=3(120-s)$

So then our linear equation is given by:

$P=3(120-s)+200$

b) Over a certain period, the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?

So for this case we just need to replace the limits into the linear equation and see what we got:

$P_L=3(120-90)+200=290$

$P_U=3(120-115)+200=215$

So the corresponding range of ticket prices is:

$215 \leq P \leq 290$

4 0

3 years ago