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faust18 [17]
3 years ago
11

What is tan theta=3?

Mathematics
1 answer:
storchak [24]3 years ago
8 0
Tan theta =3
theta =tan invesre 3
arctan 3 = tan⁻¹ 3 = 71º 33' 54.184"
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To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

                                         ≈ 18 ft          

Therefore, total height of the silo is 18 ft.

3 0
3 years ago
Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map i
Lapatulllka [165]

The real distance fro the shop to the store is 24 km

<em><u>Solution:</u></em>

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

1\ centimeter : 8\ kilometer

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24

Thus real distance fro the shop to the store is 24 km

3 0
3 years ago
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total
olga_2 [115]

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

3 0
3 years ago
Yolanda spends 8/23 hours per month playing soccer. Approximately how many hours does she play soccer in a year
Novosadov [1.4K]
Given:
8 2/3 hours per month
12 months in a year.

Number of hours she play soccer in a year.

8 2/3 must be converted to improper fraction.

((8*3)+2)/3 = 26/3

26/3 * 12 = (26 * 12)/3 = 312/3 = 104 

Yolanda spends 104 hours in a year playing soccer.
5 0
3 years ago
Read 2 more answers
The sale price of a table is $472 it was 20% off what was the original price?
ira [324]
To solve, set an equation:

472=0.8x

Divide both sides by 0.8

472/0.8=0.8x/0.8

x=590

Answer: The original price was $590
5 0
3 years ago
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