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2 years ago

If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.

Mathematics

1 answer:

larisa86 [58]2 years ago

6 0

Volume: h • pi r^2

Volume: (7.5) • pi (2)^2

Volume: 94.247796

Just round to your teacher’s liking

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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

For which value of theta is cot (theta) undefined?

sattari [20]

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.

$\cot(x) = \frac{\cos(x)}{\sin(x)}$

Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.

Let's look at your option:

$\sin(90^\circ) = 1$ , so the cotangent is defined here

$\sin(180^\circ) = 0$ , so the cotangent is not defined here

$\sin(270^\circ) = -1$ , so the cotangent is defined here

$\sin(450^\circ) = \sin(360^\circ+90^\circ)=\sin(90^\circ) = 1$ , so the cotangent is defined here

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3 years ago

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Pls help this homework is due tomorrow and I’m so confused thank you for taking your Time x

olchik [2.2K]

Answer:

a) x= 75

b) 105 is the same angle as angle B, I subtracted 180 by 105

180-105= 75

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3 years ago

Pointed teeth help tear apart food, and large, flat teeth are used to grind food. Based on this information, what types of teeth

ira [324]

Answer:

the meat eating animals need the pointed teeth and the flat teeth. the animals that eat plants only need the flat teeth

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3 years ago

What is 30x pulse 80x

nataly862011 [7]

It would be 110x because they are like units, so they can be added together. Really, you are just doing 80 plus 30, and then adding an x on the end.

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3 years ago

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