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3 years ago

R/84=32.5/182 what dose R= and show work plez

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

I hope this helps you

R=84.32.5/182

R=15

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A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

$C=2\pi r = 32\pi$

So, we have the following proportion:

$360\div 32\pi = x \div 48$

that you can read as: "if an angle of 360 corresponds to a distance travelled of $32\pi$ , then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

$x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9$

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4 years ago

Let f be the following piecewise-defined function. f(x)equals left brace Start 2 By 1 Matrix 1st Row 1st Column x squared plus

Colt1911 [192]

Answer:

the function is continuous but not differentiable in x=3

Step-by-step explanation:

for f(x) defined as

x²+5 for x≤3

3*x+5 for x>3

then for f to be continuous then

when x→a , lim f(x) = f(a)

thus

from the left

when x→3⁻ , lim f(x) = lim x²+5 = 3²+5 = 14

from the right

when x→3⁺ , lim f(x) = lim 3*x+5 = 3*3+5 = 14

and f(3) = 3²+5 = 14

since both limits converge and are equal to f(3), then the function is continuous in 3

Nevertheless, the function is not differentiable in 3 since the curve is not smooth in f(3) ( it has an sharp change in f(3) ) , then the function is not differentiable in x=3

to prove it , when x=3 and

when h→0⁻ , f'(x=3)= lim [f(x+h)-f(x)] /h = lim [(x+h)²+5 - (x² + 5)]/h = lim [2*x*h+h²] /h = lim [2*x+h] = 2*3+0 = 6

when h→0⁺ , f'(x=3)= lim [f(x+h)-f(x)] /h = lim [3*(x+h)+5 - (3*x + 5)]/h = lim [3*h] /h = lim 3 = 3

since the limits do not converge →the limit does not exist → the derivative does not exist → the function is not differentiable in x=3

4 0

4 years ago

Write The equation 3X +2 equals 4X to the second power in standard form

ale4655 [162]

3x+2=4x^2 would turn into -4x^(2)+3x+2=0 If you want X you would need to use x=3+- sqrt (41) divided by 8.

There you go hoped I helped. :)

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3 years ago

What is the sum of (3+6)^2 and 3^3

Mademuasel [1]

(3+6)^2 + 3^3 =
9^2 + 3^3 =
81 + 27 =
108

4 0

3 years ago

Read 2 more answers

Pls help me I will make you brain

taurus [48]

Answer:

Step-by-step explanation:

f(0) is another way of saying 'what is Y when X is 0'. If you look at the graph, when X is 0, Y is 1.

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3 years ago