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2 years ago

11

Althea and her sister want to hang 5 pictures on a 12-foot wall. Each pic frame must be equal distance apart from each other and

the ends of the wall. The frames are 10 inches wide. How far apart will be placed?

1 answer:

stepan [7]2 years ago

5 0

the answer has to be 12.2

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

2 years ago

Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup

tatiyna

If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or $\frac{4}{20}$ .

$\frac{4}{20}$ can be simplified to $\frac{1}{5}$ , which means we need to work out $\frac{1}{5}$ of 12.2

$\frac{1}{5}$ is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

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3 years ago

The ratio of red marbles to blue marbles in a jar is 2 to 5. If there are a total

Kobotan [32]

There are 16 red marbles

4 0

2 years ago

I really need help on this problem please

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

x=135

y=45 b/c 180-135 = 45 & the angles are supplementary

8 0

2 years ago

Read 2 more answers

HELP ASAP 10 POINTSSS

kiruha [24]

Answer:

Complementary angles, adjacent angles

Step-by-step explanation:

Which relationships describe angles 1 and 2?

Options: Complementary angles, vertical angles, supplementary angles, adjacent angles

Angles 1 and 2 are opposite to the 90° angle. So, the angles' relationship to that angles is a vertical angle, meaning that the two add up to 90°.

Complementary angles add up to 90°, so this option is correct.

Vertical angles are the pairs of opposite angles formed by two intersecting lines. Because the two angles do not follow this definition, this option is incorrect.

Supplementary angles add up to 180°. However, we know that the two add up to 90°, so this option is incorrect.

Adjacent angles are angles that are next to each other, so this option is correct.

I hope this helps! Feel free to ask any questions!

6 0

2 years ago