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otez555 [7]
3 years ago
8

What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth of a meter?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer: 13.5 m, hope this helps :)

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If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?
Semenov [28]
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
7 0
3 years ago
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a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and
sammy [17]
The customer payed $192.4 for the product.
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2 years ago
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Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth
Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b=\sqrt{c^2-a^2} to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

5 0
2 years ago
A tree 10 meters high casts a 17.3 meter shadow.
sashaice [31]

Answer:

the angle of elevation of the sun is \approx 30^o

Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle \theta, and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:

tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{10}{17.3}\\\theta=arctan(\frac{10}{17.3})\\\theta\approx 30^o

5 0
3 years ago
Find the simple interest earned to the nearest cent for each principal, interest rate, and time.
Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

r = 3.9%

t = \frac{8}{12} years

Then,

A = $1200(1 + 0.039(\frac{8}{12}))

A = $1200 + $31.2 = $1231.2

Interest = Amount - Principal

Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2

When;

P = $580

r = 2%

t = \frac{6}{12} years

Then,

A = $580(1 + 0.02(\frac{6}{12}))

A = $580 + $5.8 = $585.8

Interest earned = Amount - Principal

Interest earned at 2 percent rate = $585.8 - $580 = $5.8

4 0
3 years ago
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