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2 years ago

The radius of a quarter circle is 3 what is the quarter circle's perimeter?

Mathematics

1 answer:

slava [35]2 years ago

6 0

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

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Olin [163]

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3 years ago

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Find an equation for the surface consisting of all points P in the three-dimensional space such that the distance from P to the

erik [133]

Answer:

x^2 +4y +z = 1

Step-by-step explanation:

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3 years ago

WILL GIVE BEST RESPONSE

tino4ka555 [31]

We will use demonstration of recurrences1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation 10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, for all positive integers n>=1
3) let's show that the equation is also true for n+1, n>=1
10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
let be N=n+1, N is integer because of n+1, so we have
10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
so the equation is also true for n+1,
finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.

4 0

3 years ago

The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from ne

andriy [413]

Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

$slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22$

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.

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3 years ago

Combine like terms and solve x 12x + 3 - 4x - 6 = 5 5x - 4 + 7 + 6x - 4x = 24

Lisa [10]

Answer:

12x + 3 - 4x - 6 = 5

x=1

5x - 4 + 7 + 6x - 4x = 24

x=3

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3 years ago