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alexandr1967 [171]
3 years ago
14

Please help me with this!

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

9514 1404 393

Answer:

  2 1/2 feet

Step-by-step explanation:

The Pythagorean theorem is not useful in this problem.

__

If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.

The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.

The base (short leg) of the triangle shown is 2 1/2 feet.

_____

Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)

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OLga [1]

Answer:

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000  

Step-by-step explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

10^(32 + 6)

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2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

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6 0
3 years ago
Please help me answer this question.
Alex787 [66]
1. Change x = 4t into x = 3t

4t\cdot\frac{3}{4}=3t so

y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1

Answer A and D are wrong.

2. Change x = 4t into x = 2t

4t\cdot\frac{1}{2}=2t and

y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1

Answer b is correct.

3.  Change x = 4t into x = 8t

4t\cdot2=8t and

y=(2t)^2-1=4t^2-1

Answer C. is correct, E. is wrong.

7 0
3 years ago
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
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To minimize the cost, we take the straight distance from the refinery to the other side of the river as 2 km. Also, the 7 km will be the distance that has to be traveled by the pipeline in land. The total cost, C, is therefore,
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                    total cost = $4,400,000
Thus, the total cost of the pipeline is approximately $4,400,000.00. 
 
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4 years ago
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3 years ago
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