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Sergio [31]
2 years ago
14

A wheel with a radius of 19 meters is moving forward at 164.95 meters per second. How fast is the wheel rotating in radians per

second?
Mathematics
1 answer:
yan [13]2 years ago
5 0

Answer:

8.68 radians per second.

Step-by-step explanation:

The circumference of the wheel is 2 π r

= 38π meters.

So that is 164.95 / 38π of full turns of the wheel.

1 turn of the wheel = 2π radians , so the answer is

(164.95 / 38π)  * 2π  

= 164.95 / 19

= 8.68 radians per second.

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2x³-8=0<br> How do I solve this problem ?
wlad13 [49]

Answer:

x=2^{\frac{2}{3}}

Step-by-step explanation:

1) Add 8 to both sides.

<em />2x^3=8

2) Divide both sides by 2.

x^3=\frac{8}{2}

3) Simplify \frac{8}{2} to 4.

x^3=4

4) Take the cube root of both sides.

x=\sqrt[3]{4}

5) Rewrite 4 as 2².

x=\sqrt[3]{2^2}

6) Use this rule: {({x}^{a})}^{b}={x}^{ab}.

x=2^{\frac{2}{3}}

Decimal Form: 1.587401

__________________________________________

Check the answer:

2x^3-8=0

1) Let x=2^\frac{2}{3}.

2(2^{\frac{2}{3} })-8=0

2) Use this rule: (x^a)^b=x^{ab}.

2\times2^{\frac{2\times3}{3} } -8=0

3) Simplify 2 * 3 to 6.

2\times2^{\frac{6}{3} } - 8  =0

4) Simplify 6/3 to 2.

2\times2^2-8=0

5) Use Product Rule: x^ax^b=x^{a+b}.

2^3-8=0

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0
1 year ago
Solve for p. 7(p-9) = -34. 3
dedylja [7]

Answer:

p=4.1

Step-by-step explanation:

6 0
2 years ago
Tony believes that the more time he spends at the record store, the more money he tends to spend. To see if he is correct, he ke
mixer [17]

Answer:

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

4 0
3 years ago
The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
lisabon 2012 [21]

Answer:

  4 square units

Step-by-step explanation:

If the triangles have corresponding sides the same length, they are congruent triangles. Any measure of ΔABC is the same for ΔDEF.

The area of ΔDEF is 4 square units.

3 0
2 years ago
HELP FAST NOW PLEASE IM HAVING TROUBLE!!
tia_tia [17]
First triangle=bxh/2
                  =3x4/2
                 =6in squared
rectangle=l x w
              =3 x 10
               =30in squared

trapezoid=3+5x2/2
                 =8in squared
                6 + 30 + 8
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7 0
3 years ago
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