Find the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm.

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

1/2 times 182 times 25.1

the area is 2284.1

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-64=(2cos(pi/2)+2i sin(pi/2))^n..... n=??

zvonat [6]

Answer:

The real solution is $n=6$ .

Step-by-step explanation:

$\cos(\frac{\pi}{2})=0$ while $\sin(\frac{\pi}{2})=1$

So the equation becomes:

$-64=(2(0)+2i(1))^n$

$-64=(0+2i)^n$

$-64=(2i)^n$

We know that $2^6=64$ . So let's see what $n=6$ gives us:

$(2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64$ .

$-64$ is the result we wanted.

$n=6$ is therefore a solution.

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3 years ago

Find the value of k given that the line through (k,2) and (7,0) is perpendicular to the line y=x-28/5

Tanzania [10]

Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.

slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.

so ur answer is : k = 5

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3 years ago

Read 2 more answers

(4n+1)(2n+6) multiply polynomials

Akimi4 [234]

Answer:

= 8n^2 +26n +6

Step-by-step explanation:

(4n+1)(2n+6)

= 8n^2 + 24n +2n +6

= 8n^2 +26n +6

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