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ipn [44]
3 years ago
13

A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long w

hen the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?
Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:   48°

<u>Step-by-step explanation:</u>

The shadow is the adjacent side and the length of the flag is the hypotenuse

cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}

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The shirt cost $113 less than the coat. The shirt cost $50. How much is the coat?
olga nikolaevna [1]
Shirt: $50
Coat: $113

$50+ $113= $163

The coat costs $163, hope this helps!
7 0
2 years ago
Points and their residual values are shown in the table. a 3-column table with 5 rows. the first column is labeled x with entrie
maksim [4K]

The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

<h3>What is residual value?</h3>

The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.

Points and their residual values are shown in the table. A 3-column table with 5 rows.

  •  x                               1,     2,     3,     4,     5.
  •  y                               2,   3.5,   5,    6.1,    8.
  • Residual Value       -0.4, 0.7,  -0.2, -0.6   0

The simple regression line can be represented as,

\hat y=\alpha +\beta X+\hat e

Here α is the constant, β is the slope and <em>e </em>is the residue.

The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.

Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

Learn more about the residual value here;

brainly.com/question/1168961

6 0
2 years ago
what is the vomume of the box with a height of 3/2 inches, a length of 7/2 inches, and a width 5/2 inches
JulsSmile [24]

Answer:

105/8 inch^3

Step-by-step explanation:

7/2*5/2*/3/2 = 105/8

8 0
2 years ago
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Help on this As SOON AS POSSIBLE PLZ
vovangra [49]

Answer is square root of 39

7 0
2 years ago
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Find the surface area of the regular pyramid
kicyunya [14]

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area

Pyramid Surface Area = (.5 * 56 * 11) + 14 * 14Pyramid Surface Area = 308 + 196Pyramid Surface Area =504 square millimeters

Source:http://www.1728.org/volpyrmd.htm

5 0
3 years ago
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