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natka813 [3]
3 years ago
12

Pls help (15 points)​

Mathematics
1 answer:
monitta3 years ago
8 0

Step-by-step explanation:

Hope this helps, happy learning :)

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Please help!! 10 points.
TiliK225 [7]

Answer:

\boxed{ \text{1. 59.44 in}^{2} \text{;  2. 352.7 in}^{2} \text{; 3. 471.6 in}^{2}}

Step-by-step explanation:

1. Area of base

The radius given is that of the circumcircle.

The general formula for the edge length a  of a regular polygon is

a = 2Rsin(π/n)

So,

a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in

The general formula for the area of a regular polygon is

A = ¼na²cot(π/n)

So,

A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²

2. Lateral area

The general formula for the lateral area L of regular prism is

L = nah

So,

L = 5 × 5.878 × 12 = 352.7 in²

3. Total area

Total surface area = lateral area + 2×base area

S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

\boxed{ \text{B = 59.44 in}^{2} \text{; L = 352.7 in}^{2} \text{; S = 471.6 in}^{2}}

3 0
4 years ago
(h) when is the particle speeding up? (enter your answer using interval notation.) (2,4)∪(6,8) incorrect: your answer is incorre
OverLord2011 [107]
The position of the particle as function of time is given as
f(t)=cos( \frac{\pi t}{4} )

The velocity as function of time is
v(t)= - \frac{\pi}{4} sin( \frac{\pi t}{4} )

A graph of f(t) versus t and of v(t) versus t is shown below.
The velocity increases in the intervals t = (2, 6) and t = (10, 14) and with a periodicity of 8.

In the range t = [0, 16], the velocity increases in the interval t = (2,6)∪(10, 14).

Answer: (2,6)∪(10,14)

3 0
4 years ago
7th grade math pls help
Artemon [7]

Answer:

<em>40°, 60°, 80°</em>

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
which identity could be used to rewrite the expression x^9-8 A.Two squares B.difference of squares C. difference of cubes D. qua
Vedmedyk [2.9K]
The answer to this question is B) difference of squares
4 0
4 years ago
Read 2 more answers
Please help asap!!!!
Lana71 [14]

Answer:

No.

Step-by-step explanation:

If you rotate it at any angle, it will not appear like this. This picture is here to fool you. This is the one angle that it looks perfectly simmetrical.

Thus, the answer is no.

4 0
3 years ago
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