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4 years ago

12

Find the lateral area of the cone in terms of pi.

1 answer:

enyata [817]4 years ago

8 0

To find the lateral area of a cone, use this formula:

$\pi r\sqrt{h^2+r^2}$

where r is the radius (in this case, 11) and h is the height (in this case, 26)

Try plugging the values in. If you need additional help, feel free to ask!

You might be interested in

Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

What is the value of the expression below when a = 3 and b = 7?

svp [43]

Answer:

42

Step-by-step explanation:

9^2*7-2*7

56-14

42

I hope this helps.

6 0

3 years ago

Read 2 more answers

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago

The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/10 of a pint. How many servings of beans did the cook

Marta_Voda [28]

Answer:
number of servings = 5 servings

Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:

1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints

number of servings = (1.5*1) / (3/10)
number of servings = 5 servings

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Economic Leading Indicators are based on historical results.<br><br> A.True<br><br> B False

deff fn [24]

I think it’s A I’m not 100 percent sure tho sorry if I’m wrong

4 0

2 years ago