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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!

You might be interested in
(5 4 – 2) × (–2) = ? <br> a. 22 <br> b. –14 <br> c. 14 <br> d. –22
tamaranim1 [39]
The correct answer is b. -14
:)
6 0
3 years ago
A quadratic function is shown. f(x) = -x^2+7x-12 one factor of this function is (x-4). What is the other factor of the quadratic
Alexus [3.1K]

Answer:

The other term is<u> (x-3)</u>

Step-by-step explanation:

The quadratic function is:

f(x)=-x^{2}+7x-12

Factoring this function we will have:

f(x)=-(x-4)(x-3)

Therefore, the other term is<u> (x-3).</u>

I hope it helps you!

3 0
3 years ago
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
3 years ago
Help me pleaseeeee?!
den301095 [7]

Answer:

#1: -1.5, -0.5, 1/2, 1.5

#2:  -3, -1, 1.2, 2.3

Step-by-step explanation:

#1

First we have to figure out the correct order before we plot.

Find the biggest number:

looking at the number the biggest would be 1.5

Find the smallest number:

Looking at the number the smallest would be -1.5

Now that we have that we can easily figure out the rest...

(Going from least to greatest; like on a number line)

-1.5, -0.5, 1/2, 1.5 (That is how you will place the first one)

#2

(Use the steps from above to find the answer)

Biggest: 2.3

Smallest: -3

Order: -3, -1, 1.2, 2.3 (Placing on number line use that order)

Hope this helps :)

8 0
3 years ago
Please help me :( with this
hodyreva [135]

Answer:

21

Step-by-step explanation:

Similar triangles. MNL is just ABC but 3/4 the size.

x = 8*3/4 = 6

perimeter woudl be 6+6+9 = 21

7 0
3 years ago
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