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My name is Ann [436]
3 years ago
13

Help solve for x. round to the nearest tenth​

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

x = 3.7

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 24°

Opposite = x

Hypotenuse = 9

This, apply SOH:

Sin 24 = Opp/Hyp

Sin 24 = x/9

9 × Sin 24 = x

3.66062979 = x

x = 3.7 (nearest tenth)

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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

V=\frac{\pi r^2h}{3}

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

r=\frac{12cm}{2}=6cm

We know the volume and the radius of the conical container, then we can find "h":

120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm

The diameter and height doubled are:

d=12cm*2=24cm\\h=10cm*2=20cm

Now the radius is:

r=\frac{24cm}{2}=12cm

And the container capacity is

V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3

Then, to compare the capacities, we can divide this new capacity by the original:

 \frac{960\pi cm^3}{120\pi cm^3}=8

Therefore,  the container's capacity would be 8 times its original capacity.

6 0
3 years ago
Read 2 more answers
Please help asap i’m doing iready
Sati [7]
The answer to your question is d 354
6 0
3 years ago
What is another way to write the time "quarter till 8"?​
vesna_86 [32]

Answer:

7:45

Step-by-step explanation:

5 0
3 years ago
The table shows the number of cups of water required when cooking different amounts of rice.
Vsevolod [243]

Answer:

For every 1 cup of rice, 2.5 cups of water are required.

Step-by-step explanation:

We can solve this by examining the table closely. We see that the difference of water cups required for 2 and 3 rice cups is 2.5. This stays true for 5 cups of rice. where the difference from the required water for 3 cups of rice is 5.

8 0
3 years ago
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all to
Flura [38]

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys <em>is</em> 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

5 0
3 years ago
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