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3 years ago

Find the radius of Circle N.

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

C = 113.04

Step-by-step explanation:

arc ACB = (Ф/360) * 2πr

81.64 = (260/360) * 2 * π * r

r = <u>(81.64 * 360)</u>

2 * π

r = 17.99 cm

Circumference = 2 * π * r

C = 2 * π * 17.99

C = 113.04

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Answer:

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2 years ago

The greatest integer less than or equal to the given number; it is expressed: [[x]]. These are sometimes called step functions.

sergiy2304 [10]

Answer:

I think its, 5

Step-by-step explanation:

Becaus you take that number and its axcelerated calculation would be 5 in axis square root which is 3 and obviously 3+2 =5 so the wuarterining calculas is 5.

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3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

What is the coordinates for 3x - 5y = 6 and -3x - 8y = -6

Schach [20]

Answer:

the answer is 3

Step-by-step explanation:

because 3x3= 9

5x3=15 so 15-9=6

7 0

2 years ago

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levacccp [35]

Answer:

the last one

Step-by-step explanation:

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hope this was helpful

3 0

2 years ago

Read 2 more answers