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3 years ago

If the perimiter of a sector is 4 times its radius, then the radian measure of the ceenral angel of the sector is

1 answer:

6 0

The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
perimeter = 4r = r + r + arc-length
2r = arc-length

Now we also know that arc-length is related to the central angle (in radians) by
arc-length = r*central-angle
2r = r*central-angle
2 = central-angle

The measure of the central angle of the sector is 2 radians.

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What is the vertex of y = x2 + 2x +2 O (1,-1) O (2,-2) O (1, 2) 0 (-1, 1)

fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - $\frac{b}{2a}$

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - $\frac{2}{2}$ = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0

2 years ago

What is 40÷1000+(-15)

Tresset [83]

Answer:

The anwser is -14.96

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Your mother saw a sale at the music store on tax-free weekend that advertised two CD’s for $15.95. Your mother said that you hav

Neko [114]

Answer:

20 CDs

Step-by-step explanation:

Assuming you can't buy 1 CD, you have to buy 2 CD's for 15.95, let's see how many 2CD-Batches we can buy with 60:

60/15.95 = 3.76 CD batches

We can't buy the fractional amount, so we have to buy "3" 2-CD-Batches.

Thus, we will have 3 * 2 = 6 CD's now

Since we had 14 and now we buy 6, we will have

14 + 6 = 20 CDs now.

20 CDs

3 0

3 years ago

?Write the phrase as a rate in simplest form. ?260 inches in 15 seconds ?

melomori [17]

Answer: 52:3

Step-by-step explanation:

260 divided by 5 = 52

15 divided by 5 = 3

260:15 = 52:3

6 0

3 years ago

The numerator of a certain fraction is to its denominator as 2 to 3; if 5 be added to the numerator the ratio will be as 3 to 2;

vova2212 [387]

N= numerator
D= denominator

N:D ==> 2:3

2:3, 4:6, 6:9... And so on...

The pattern here is that the numerator increases by 2 and the denominator by 3. Easy right?

Now 5 is added to the "n".

Now it is N:D ==> 3:2

3:2, 6:4, 9:6... And so on...

The pattern here is inverted then the 2:3 one.

If I'm right then which one (you might have to continue the process/pattern) then one of them will increase by 5.

3 => 2 = +1 (2+1=3)
6 => 4 = +2 (4+2=6)
9 => 6 = +3 (6+3=9)
12 => 8 = +4 (8+4=12)
15 => 10 = +5 (10+5=15)
18 => 12= +6 (12+6=18)

Q. Which one is +5?

A. 15:10

That is what "I" think it is.

Now, the question is,
Does it work? Does it fit the above description?

Q. Does it even work? Does it fit the above description?

6 0

3 years ago