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Scrat [10]
3 years ago
12

Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is tan(72).

The right side of the equation is opposite over adjacent.

x/20

Set these equal to each other.

tan(72) = x/20

Simplify.

20 tan(72)=x

20(3.078) = x

x is approximately 61.554.

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Find the slope of the line through the point (4,-6) and (-2,-5)
Gnom [1K]

Answer:

-1/6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-6))/(-2-4)

m=(-5+6)/-6

m=1/-6

4 0
2 years ago
The cost of 2 kg of onions is ₹24. What will the cost of 12 kg of onions be?​
max2010maxim [7]

Answer:

144 rupees

Step-by-step explanation:

2 kg= 24 rupees

2/2 kg= 24/2 rupees

1 kg= 12 rupees

1×12 kg= 12×12 rupees

12 kg= 144 rupees

8 0
2 years ago
an outdoor deck is 7 feet wide the perimeter of the deck is 64 feet what is the length of the deck use the numbers to write an e
ycow [4]
Answer: 25

Equation:
2(7)+2(x)=64
14+2x=64
2x=64
X=25

Hope this helps :)
5 0
2 years ago
1. 2x + 4 = 3(x – 2) + 1
sweet [91]
Please, do not post more than 1 or 2 questions at a time.  Out of courtesy I will address one of your six questions here:

<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
   Is 22+4 = 33-6 true?  NO.  Try again, looking for the mistake:

</span><span>2x + 4 = 3(x – 2) + 1  =>   2x + 4 = 3x - 6 + 1
                                                  4 = x - 5
                                                  9 = x

Check:  Is 2(9) + 4 = 3(9-2) + 1 true?  Is 18+4 = 22 true?  YES.
The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

</span>
8 0
3 years ago
Factoring when a=1 with and without a GCF<br> What is x2+4x-117
quester [9]

Step 1: Make sure that the trinomial is written in the correct order; the trinomial must be written in descending order from highest power to lowest power.

Step 2 : Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

Step 3 : Multiply the leading coefficient and the constant, that is multiply the first and last numbers together.

Step 4 : List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.

Step 5 : After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3.

Step 6 : Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5.

Step 7 : Now that the problem is written with four terms, you can factor by grouping.


4 0
3 years ago
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