PLEASE HELP!!!Aidan is 5.5 ft tall and casts a shadow that is 9 ft long. He notices that a nearby tower casts a shadow that is 305 ft long.
What is the height of the tower (h)?
PLEASE HELP!!! Aidan is 5.5 ft tall and casts a - 1

Answers

Answer 1
Answer:

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

What is the height (h) of the tower?

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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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

What is the measure of ∠M?A.
53°

B.
65°

C.
81°

D.
98°

Answers

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.

PLEASE HELP! I WILL MARK BRAINLIEST!

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

Your answer will be so appreciated.

Answers

i need more info on this ? to answer.

Which expression has a value of 1?
(Need answer ASAP)

Answers

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:

At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650?

Answers

Answer:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

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:

X \sim N(1637.52,623.16)  

Where \mu=1637.52 and \sigma=623.16

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

\bar X \sim N(\mu, (\sigma)/(√(n)))

And we can use the z score formula given by:

z = (\bar X -\mu)/((\sigma)/(√(n)))

And using this formula we got:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

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

The Richter Scale gives a mathematical model for the magnitude of an earthquake in terms of the ratio of the amplitude of an earthquake wave (also known as the intensity of an earthquake) to the amplitude of the smallest detectable wave. If we denote the magnitude of the earthquake by R, the intensity (also known as the amplitude of the earthquake wave) of the earthquake by A, and the amplitude of the smallest detectable wave by S, then we can model these values by the formula R=log(AS)
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.

Answers

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:

\log{A} = 7.8

A = 10^(7.8)

A = 63095734.448

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 A = 748180*63095734.448

So

R = \log{A} = \log{748180*63095734.448} = 13.67

The magnitude of the claimed earthquake would be 13.67.

In the sixth grade class at Madison Middle School, for every 6 students, 4 of them play at least one sport. If there are 270 students on the sixth grade class, how many of them play at least one sport? a) 39
b) 180
c) 11
d) 405​

Answers

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