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kompoz [17]
3 years ago
8

You want to find the height of a tower used to transmit cellular phone calls. You stand 100 feet away from the tower and mesure

the angle of elevation to be 40° . How high is the tower to the nearest foot
Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

84 feet to the nearest foot.

Step-by-step explanation:

We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).

A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).

tan 40 = O/ 100

O = 100 tan 40

= 83.9 feet.

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The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability
slega [8]

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0
3 years ago
Write the expression x^-5 in positive exponential form <br> Answer for brainliest!
vladimir1956 [14]

It's 1/x^5

Hope it helps

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The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph wi
Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

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2 years ago
Pls help me for brainliest answer
Ket [755]

Answer with Step-by-step explanation:

a)3n + 4 \\  \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\  =7 \\  \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\  = 10 \\  \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\  = 13 \\  \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\  = 16 \\  \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\  = 34 \\

So in this sequence,

1st term = 7

2nd term = 10

3rd term = 13

4th term = 16

10th term = 34

b)4n - 5 \\  \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\  =  - 1 \\  \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ =  3 \\  \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\  = 7 \\  \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\  = 11 \\  \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\  = 35

In this sequence,

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10th term =35

5 0
3 years ago
Whats the answer tell me please
ANEK [815]
For y=3x+4, you would put 4 on the y-intercept and from that point you go up 3 and right 1 and then plot the second point.

For y=-x-4, you would put -4 on the y-intercept and from that point go down 1 and right 1 and then plot the second point.
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3 years ago
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