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2 years ago

The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

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the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between th

Andrew [12]

Answer:

c = 20d + 15

Step-by-step explanation:

answer choices may help if the answer is not one of the choices; but here is the answer that it should be:

20 dollars per day is 20 times the length of rental.

15 is a cost that is added and does not change.

c = the total cost therefore:

c = 20d + 15

4 0

3 years ago

X + 4 is prime x2 – 9 can be factored using the formula.

Anna71 [15]

We are given two binomials: x+4 , x^2-9.

x+4 can't be factored. Therefore, it is a prime.

Let us work on x^2-9.

9 could be written as 3^2.

Therefore, x^2-9 = x^2 - 3^2.

Now, we can apply difference of the squares formula to factor it.

We know a^2 -b^2 = (a-b) (a+b).

Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).

So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).

3 0

3 years ago

Read 2 more answers

What is the opposite of taking a power of a number called

frutty [35]

Square rooting a number

3 0

2 years ago

Solve number 8 please

beks73 [17]

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = $\sqrt{9}$ = 3

this is shown in graph b

7 0

1 year ago

PLEASE HELP ME FIGURE THIS OUT 1......

MA_775_DIABLO [31]

Make sure your calculator is in "Deg" <em>(degrees)</em>.
Input "32"
Click on the "sin" button.

Answer: 0.5514

*********************************************************************

Answer: tan θ

<u>Step-by-step explanation:</u>

cotθ * sin²θ * sec²θ

= $\frac{cos}{sin} * \frac{sin*sin}{1} * \frac{1}{cos*cos} = \frac{sin}{cos}$ = tan

8 0

2 years ago