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Ivahew [28]
3 years ago
5

Please help brainliesttt if right WITH EVIDENCE

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

D

Step-by-step explanation:

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The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi
elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

v \approx 24.74\,\frac{mi}{h}

The linear speed in which Darlene is traveling is 24.74 miles per hour.

8 0
3 years ago
Find three consecutive numbers whose sum is 171.
-BARSIC- [3]
171/3 is 57. the three consecutive numbers are 56, 57 and 58.

244/4 is 61. the even integers are 58, 60, 62 and 64
5 0
3 years ago
Read 2 more answers
I need help in number 1, please.
babunello [35]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The sum of the first terms of an Arithmetic progression (Ap) is 130.if the fifth term is 3times,the first term,find the (a)commo
Nadusha1986 [10]

Answer:

For part a)

130 = 10/2[2a+(10-1)d]

Simplify, u get

2a + 9d = 26.................(1)

Also U5 = a + (5-1)d = 3a

Simplify, u get

a= 2d...................(2)

Substituting for a in equation 1,

2(2d)+9d= 26

Solving for d, we get

d = 2

In part b) substituting for d in equation 2 to get the first term

a = 2(2) = 4

Part c) the no. of terms required can be obtained by solving

28 = 4+(n-1)2

n = 13

5 0
3 years ago
Expand and simplify (2x−12)^2. Is this a special product?
Rom4ik [11]

Answer:

Step-by-step explanation:

(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes

4(x^2 - 12x + 36).  Yes, this is a special product of the form

(a - b)^2 = a^2 - 2ab + b^2.

8 0
2 years ago
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