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Drupady [299]
2 years ago
12

Please someone help!!!!

Mathematics
1 answer:
ira [324]2 years ago
6 0

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

\sf tan(\theta)=\dfrac{O}{A}

where:

  • \theta = the angle
  • O = the side opposite the angle
  • A = the side adjacent the angle

From inspection of the diagram:

  • \theta = 37°
  • O = height of tower (let's call this h)
  • A = 220 ft

Substituting these values into the trig tan ratio:

\sf \implies tan(37)=\dfrac{h}{220}

Multiply both sides by 220:

\sf \implies 220tan(37)=h

\sf \implies h=220tan(37)

\sf \implies h=165.781891

Therefore, the height of the tower is 165.8 ft (nearest tenth)

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Stolb23 [73]

Answer:

8439

Step-by-step explanation:

7332

8 0
2 years ago
Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what
professor190 [17]

Answer:

15.74% of women are between 65.5 inches and 68.5 inches.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 64, \sigma = 1.5

What percentage of women are between 65.5 inches and 68.5 inches?

This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.

X = 68.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{68.5 - 64}{1.5}

Z = 3

Z = 3 has a pvalue of 0.9987

X = 65.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{65.5 - 64}{1.5}

Z = 1

Z = 1 has a pvalue of 0.8413

So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.

8 0
3 years ago
The result of dividing 107 by 10^-3 is?10-4. 102.5. 1010. 104.
lora16 [44]

The result of diving 107 by 10⁻³ is (E) 107,000.

<h3>What do we mean by division?</h3>
  • The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
  • Addition, subtraction, and multiplication are the other operations.
  • At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.
  • For example, if 20 apples are distributed evenly among four people, each receives five apples (see picture).

So, we know that 10⁻³ is 0.001.

  • Now, 107/0.001 = 107,000.

Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.

Know more about division here:

brainly.com/question/25289437


#SPJ4

The correct question is given below:

The result of dividing 107 by 10^-3 is?

a. 10-4.

b. 102.5.

c. 1010.

d. 104.

e. 107,000

7 0
1 year ago
Leyla drops a penny from a height of 150m. How long will it take to hit the ground? Round to the nearest tenth of a second. use
Llana [10]
A graphing calculator shows it will take about 5.5 seconds.

5 0
2 years ago
When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.
raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9      

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

                   x = 24

So the larger fraction will become: x/y =24/7      

  • Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

3 0
3 years ago
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