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worty [1.4K]
3 years ago
7

Solve below for 50 points

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

You can use the pythagorean theorem to determine the unknown value of the hypotenuse. 2. by taking advantage of their side ratios

Step-by-step explanation:

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The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha
xz_007 [3.2K]

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
(r: radius, h: height, πr^2 is the area of the base of the cone, πr\sqrt{h^{2}+r^(2) } is the lateral area of the cone). So:

A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

AL=15\pi \sqrt{30^{2} +15^{2} } ≈ 1580.58 ft^2.

5 0
3 years ago
Days before a presidential​ election, a nationwide random sample of registered voters was taken. Based on this random​ sample, i
erica [24]

Answer:

We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.

Step-by-step explanation:

Given that :

Margin of Error = ±3%

Sample Proportion = 52%

Confidence level = 95%

The 95% confidence interval is :

Sample proportion ± margin of error

52% ± 3%

Lower boundary = 52% - 3% = 49%

Upper boundary = 52% + 3% = 55%

The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.

7 0
3 years ago
I need help can u draw a graph for me on paper or message me or ananythin​
soldier1979 [14.2K]

Step-by-step explanation:

hope this helps theirs 3 pictures

3 0
4 years ago
What is the area of the circle? *.
EastWind [94]
The formula is pi times the radius squared (A = π r²).

So it might be 78.53
6 0
3 years ago
Read 2 more answers
Describe how to use the vertical line test and what it can tell us
sashaice [31]

Answer:

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Step-by-step explanation:

4 0
3 years ago
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