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Andrews [41]
3 years ago
10

Find the area of a vertical cross section through the centers of the bases of a cylinder with height of 27 inches and a circumfe

rence of about 47.1 inches. Use 3.14 for π.
Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

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larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

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Answer:

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Step-by-step explanation:

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3 years ago
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vekshin1

Answer:

4x^2(x-2)(x+6)

Step-by-step explanation:

Factor 4x^2

4x^2(x^2)+4x^2(4x)-4x^2(-12)

4x^2(x^2+4x-12)

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<em>good luck, hope this helps :)</em>

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Explanation for #4-8
nikklg [1K]

Answer:

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I DONT UNDERSTAND PLEASE EXPLAIN WHY CUZ I WANNA UNDERSTAND
Scilla [17]

Answer:

17% off $35

Step-by-step explanation:

The reason I say 17% off $35 is better price is because you get $5.95 off the original price.

So how did you do it they wonder, well in order to find out how much we are going to be taking off of a number as a percentage we have to turn 17% and 12% into a decimal by multiplying 17% and 12% by 100.

17% * 100 = 0.17

12% * 100 = 0.12

Now we multiply 0.12 by $32 and 0.17 by $35 in order to find out how much money you are saving:

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So since $5.59 is bigger than $3.84 you have your answer 17% off $35 is a better price.

8 0
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