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sergeinik [125]
4 years ago
5

a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

Mathematics
1 answer:
PtichkaEL [24]4 years ago
8 0
Draw a right triangle.

tan(theta) = \frac{opposite}{adjacent}

tan(theta) = \frac{10}{14}

Arctangent (tan^-1) can be used to find theta.

tan^{-1}(\frac{10}{14})=theta

theta\ is\ approx\ \boxed{36\ degrees}

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Zola is thinking of a number. If the number is divided by 7.5, the quotient is 62. what is zolas number?
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Okay, so I would multiply 62*7.5 to get 465.

To check the solution, make sure it follows the rules as in the word problem.

If you divide 465 by 7.5 you do get 62, so the solution is 465.

Mathematically, the equation would be

x
-     = 62
7.5
I would multiply x/7.5 by 7.5/1 (to cancel it out) and 62/1  by 7.5 which is basically the same solution as above.

4 0
3 years ago
Read 2 more answers
WILL AWARD BRAILEST!!!!!! A triangular prism has a triangular face with a base of 16.8 centimeters and a height of 10.2 centimet
VARVARA [1.3K]

Answer:

14 cm

Step-by-step explanation:

The first step is to find the area of the triangular base. The formula for the area of a triangle is \frac{bh}{2}=\frac{10.2\cdot16.8}{2}=85.68. Now, you can divide the total volume by this to find the length. 1199.52/85.68=14. Hope this helps!

5 0
4 years ago
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Out of 25.050 20.505 25.005 20.055 what number is in thrird place
r-ruslan [8.4K]
If you are going from least to greatest, it is 25.005, but if you are going from greatest to least, it is 20.505 .
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7 0
3 years ago
Greatest to least 17.97 17.89 17.3 17.16
zubka84 [21]
17.97 17.89 17.16 17.3 If I am correct.
7 0
3 years ago
Just one or four please help ..
eduard
For num 4 the answer to six is 22 the reason is this formula so write this down for n aswell
n(n+1)/2+1 the example could be as we know for 1 cut we always will have 2 slices so 1(1+1)/2+1 is 2 and for 6 cuts 6(6+1)/2+1 is 22 therefore the answer to 6 cuts is 22 and to n cuts is the formula n(n+1)/2+1
7 0
4 years ago
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