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Naddika [18.5K]
3 years ago
5

A lighthouse casts a shadow 32 meters long at the same time a nearby statue casts a shadow that is 9 meters long. If the statue

is 11.25 meters tall, find the height of the lighthouse.
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

40

Step-by-step explanation:

Ok, so basically let's start with a proportion.

x/32 = 11.25/9

Cross multiply:

x * 9 = 32 * 11.25

9x = 32 * 11.25

9x = 360

Solving for variable 'x'.

Divide each side by '9'.

x = 40

I don't know if this is the correct answer, but it was based on my math. I hope this helps!

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What unit is used to measure the attribute under investigation?
wolverine [178]

Answer:

A). Ages

Step-by-step explanation:

The bar chart presents the number of people who are of different ages at a family reunion.

The attribute being measured is the age as can be seen on the horizontal axis of the bar chart.

The correct option is A.

4 0
3 years ago
A sphere has a decimeter of 12 ft what is the volume of the sphere? Give the exact value in terms of
meriva

Answer: 904.78 cu. ft

Step-by-step explanation:

Volume of sphere = 4/3 pi r^3

Assuming 12 ft. is the diameter of the sphere.

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3 years ago
In the following exercises, solve
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Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
  • Calculate the volume to the nearest whole number.
  • Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

7 0
2 years ago
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

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3 years ago
Joe flips the disc shown below 15 times:
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Whatever the number of times you flip the disc, as long as the disc has uniformly distributed mass throughout the body, then

The probability will always be 50%
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3 years ago
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