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3 years ago

12

A tree on a hillside casts a shadow 215 feet down the hill. If the angle of inclination of the hillside is 22 degrees to the hor

izontal and the angle of elevation of the sun is 52 degrees, find the height of the tree.

1 answer:

mamaluj [8]3 years ago

5 0

Answer:

20

Step-by-step explanation:

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Both a cube and a cylinder are 3 dimensional objects

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3 years ago

A store charges $280 for a coat. This price is 40 percent more than the amount it cost the store to buy the coat. At the end-of-

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280 * 0.6 = 168
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3 years ago

A 15ftX20ft room has a 6ft diameter circular rug in it. How much of the flood is not covered by the rug?

Luda [366]

Answer:

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

Step-by-step explanation:

step 1

Find out the area of the room

The area of the rectangular room is

$A=(15)(20)=300\ ft^2$

step 2

Find out the area of the circular rug

The area of the circle is

$A=\pi r^{2}$

we have

$\pi =3.14$

$r=6/2=3\ ft$ ----> the radius is half the diameter

substitute

$A=(3.14)(3)^{2}$

$A=28.26\ ft^{2}$

step 3

Find out what percentage of the room is not covered by the rug

we know that

300 ft^2 represent the 100%

so

using proportion

Find out what percentage represent the difference (300-28.26)=271.74 ft^2

Let

x ----> the percentage not covered by the rug

$\frac{300}{100\%}=\frac{271.74}{x}\\\\x=100(271.74)/300\\\\x=90.58\%$

Convert to fraction form

$90.58\%=\frac{90.58}{100}$

Simplify

$\frac{4,529}{5,000}$

therefore

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

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3 years ago

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Consecutive terms differ by 3, so

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Since the first term is $a_1=5$ , the formula for the sequence is

$a_n=5+3(n-1)=3n+2$

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3 years ago