a weight hangs from a rope 20 feet long. It swings through an angle of 27 degrees each second. how far does the weight travel each second? round to the nearest 0.1 foot

Answers

Answer 1

Answer:

Answer:

S=9.42 feet

Step-by-step explanation:

Since, the length of the rope is 20 feet and it swings through an angle of 27° each second, let s be the distance traveled by the weight, then

using the formula, S= $\frac{{\theta}}{360^{{\circ}}}{*}2{\pi}r$

Placing the given values, we get

S= $\frac{27^{{\circ}}}{360^{{\circ}}}{*}2{*}(22)/(7){*}20$

= $0.075{*}(44)/(7){*}20$

= $9.42 feet$

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Find the product of (4x − 3)(2x2 − 7x + 1). 8x3 − 22x2 + 17x− 3

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Answers

$(4x - 3)(2x^2 -7x + 1)=\n\n(4x)(2x^2) - (4x)(7x) + (4x)(1) - (3)(2x^2) + (3)(7x) - (3)(1) =\n\n8x^3-28x^2 + 4x - 6x^2+21x-3=\n\n8x^3-34x^2+25x-3$

The correct answer is C.

Find the product of (4x − 3)(2x2 − 7x + 1).

Answer:

8x3 − 34x2 + 25x − 3

(Took the exam)

which of the following best describes the relationship between (x+1) and the polynomial -3x^3-2x^2+1 a) (x+1) is a factor b) (x+1) is not a factor c) it is impossible to tell whether (x+1) is a factor

Answers

Answer:

I will solve this problem by factor theorem.

If , (x+1) is a factor of the polynomial , $f(x)=-3 x^3-2 x^2 +1$ then ,if we substitute,x= -1 in f(x), then, f(-1)=0.

Now,

$f(-1)= -3* (-1)^3-2 * (-1)^2+1\n\n f(-1)=-3 * (-1)-2 * 1+1\n\n f(-1)=3 -2+1\n\n f(-1)=2$

As, f(-1)≠ 0

Option B: (x+1) is not a factor of the polynomial , $f(x)=-3 x^3-2 x^2 +1$ .

Hello,

3x^3+2x²-1=(x-1)(3x²-x+1)+2
remainder is 2
(x+1) is not a factor of 3x^3+2x²-1 nor of -(3x^3+2x²-1)= -3x²-2x²+1.

Answer B

Please help if you can!! I would appreciate it alot!People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?