What is the height of the tower (h)?

Answer:
### What is the height (h) of the tower?

The **height **of the **tower **(h) is approximately 186.4 feet.

A **ratio **is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the quesion;

- Aidan's height = 5.5ft
- length of Aidan's shadow = 9ft
- height of the tower = ?
- length of the tower's shadow = 305ft

We can set up a **proportion **to solve for the height of the tower:

Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow

Plugging in the values we know, we get:

5.5 / 9 = h / 305

To solve for h, we can cross-multiply and simplify:

9h = 5.5 × 305

9h = 1667.5

h = 1667.5 / 9

h = 186.4 ft

Therefore, the **value **of h is 186.4 feet.

Learn more about **ratio **here: brainly.com/question/30061012

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A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1. Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.

4(2x + 4) = 10x + 13 - 2x + 3.Solve for x

Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.

4(2x + 4) = 10x + 13 - 2x + 3.Solve for x

Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1

53°

B.

65°

C.

81°

D.

98°

The shape is a quadrilateral, because it has four sides.

And sum of angles in a quadrilateral = 360 degrees.

The angle with no number but just a symbol = 90 degrees.

From the fourth angle been M:

Therefore: 90 + 62 + 127 + M = 360

279 + M = 360

M = 360 - 279

M = 81

M = 81°

Option C.

I hope this explains it.

And sum of angles in a quadrilateral = 360 degrees.

The angle with no number but just a symbol = 90 degrees.

From the fourth angle been M:

Therefore: 90 + 62 + 127 + M = 360

279 + M = 360

M = 360 - 279

M = 81

M = 81°

Option C.

I hope this explains it.

If ZY = 2x + 3 and WX = x+4, find WX.

Your answer will be so appreciated.

i need more info on this ? to answer.

(Need answer ASAP)

**Answer:I am adding the brackets to show in which order the expressions will be evaluated:**

**A.**

**(4 ÷ 4) + 4 – 4 = 1+4-4 = 1 (the correct answer)**

**B.**

**(4 · 4) – (4 ÷ 4)= 16-1 = 15**

**C.**

**4 –( 4 ÷ 4) – 4= 4-1-4 = -1**

**D.**

**(4 ÷ 4) + 4 + 4 = 1+4+4 =9**

**hope this help yu the answer is A**

**hope this hlpe**

**Step-by-step explanation:**

**Answer:**

And we can use the complement rule and we got:

**Step-by-step explanation:**

**Previous concepts**

**Normal distribution**, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The **Z-score** is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

**Solution to the problem**

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

Where and

Since the distribution of X is normal then the distribution for the sample mean is given by:

And we can use the z score formula given by:

And using this formula we got:

And we can use the complement rule and we got:

Answer: the probability is 0.49

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52

σ = $623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.

**Answer:**

The magnitude of the claimed earthquake would be 13.67.

**Step-by-step explanation:**

The 1906 earthquake had a intensity of A and a magnitude of 7.8.

S is going to have the same value, so i am going to write as 1. So:

**Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.**

So

So

The magnitude of the claimed earthquake would be 13.67.

b) 180

c) 11

d) 405

**Answer:**

**B is the answer**

**Step-by-step explanation:**

Because we can make 4/6 into 2/3 and 2/3 of 270 is 180