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kati45 [8]
4 years ago
6

A lamp post is 10 ft tall and casts a shadow. The distance from the top of the lamp post to the tip of the shadow is 20 ft. What

is the angle of elevation to the top of the lamp post?

Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
4 0

Answer:

30°

Step-by-step explanation:

Sin= 10/20

Sin= 0.5

Use your calculator then and type in 0.5 and hit the sin(-1) button and you get your answer.

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The sum of 28 consecutive odd positive integers is a perfect cube. Determine the smallest possible set? What is the first and la
aleksandrvk [35]

Answer:

71 + 73 + ..... + 125 = 2,744 = 14^{3}.

Step-by-step explanation:

The smallest set starts at 71.  The last term is 125.

The total is 2,744, which is 14^{3}.

3 0
3 years ago
11. The exponential function given by ​H(t)=80,030.83​(1.0481​)t​, where t is the number of years after 2010​, can be used to pr
telo118 [61]

A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The exponential function that can be used to project the number of centenarians in a certain country is H(t) = 80,030.83(1.0481)^t.

Now, the number of centenarians in the country in 2013 is,

H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}

Also, the number of centenarians in the country in 2038 is,

H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}

Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

5 0
3 years ago
Can someone help me with this one I would appreciate it very much!!
jekas [21]

Answer:

12.5 pounds

Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Simplify.<br><br> 4√27 + 6√75
BARSIC [14]

To answer this, you will first need to simply the expressions.

4\sqrt{27} = 12\sqrt{3}

6\sqrt{75} = 30\sqrt{3}

Now with the expressions simplified, you'll add the two together getting 42\sqrt{3}


7 0
3 years ago
Read 2 more answers
oceanside bike rental shop charges a $17 fixed fee plus six dollars an hour for renting a bike. Tim paid $47 to rent a bike. How
gavmur [86]
Approximately 8 hours
8 0
3 years ago
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