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3 years ago

Which best describes how to find the length of an arc in a circle

Mathematics

2 answers:

makkiz [27]3 years ago

6 0

The answer is C: Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.

Explanation.
Let r = radius of the circle
Then the circumference is C = 2πr.

Let the degree measure of the arc be x degrees.
In radians, the angle is (x/180)π radians
The measure of the arc is
r*(x/180)π = (x/180)*πr
= (2x/360)*πr
= (x360)*2πr
= (x/360)*C

This proves the statement for the answer because
x/360 is the degree measure divided by 360,
C is the circumference.

MakcuM [25]3 years ago

3 0

The answer is C. Apex ;)

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460x23 in detail steps plase

prohojiy [21]

Answer:

10580

Step-by-step explanation:

use partition to get 3x460 and 20x460

20x460=2x4600=9200

3x460=1380

9200+1380=10580

7 0

2 years ago

Read 2 more answers

Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, whe

Len [333]

Answer:

$S(t) = -18t^\frac{5}{3}+2440$

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

$S'(t)=-30 t^{\frac{2}{3}}$

Where,

t = number of months

On integrating,

$\int S'(t) = -30\int t^{\frac{2}{3}} dt$

$S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C$

$S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C$

$S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C$

$S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C$

$S(t) =-18t^\frac{5}{3}+C$

According to the question,

S(0) = 2,440,

$\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440$

Hence, the required function,

$S(t) = -18t^\frac{5}{3}+2440$

If S(t) = 1,000,

$-18t^\frac{5}{3}+2440=1000$

$-18t^\frac{5}{3}=-1440$

$t^\frac{5}{3}=80$

$t = (80)^\frac{3}{5}\approx 13.86$

6 0

3 years ago

Determine the intercepts of the line.

labwork [276]

Answer:

y = 0 , -11

x = -4 , 0

Step-by-step explanation:

5 0

3 years ago

How would you graph the following systems of equations ? y= -3x -7 x- 2y=-14

andrey2020 [161]

Solve both formulas to y=mx+b (slope intercept formula) where m=slope and b=y-intercept

y=-3/1x+-7

x-2y=-14
-2y=-14-x
y=7+1/2x

Start with the b variable so for problem 1 put a dot on 0,-7 and for problem 2 put a dot on 0,7

Then from -7 for problem 1 depending on whether the slope is negative or positive go down 3 and over right 1 therefore another point for problem one is marked, at 1,-10; for problem 2 up 1 and to the right 2; 2,8

For problem one connect the dots of 0,-7 and 1,-10

For problem two connect the dots of 0,7 and 2,8

7 0

3 years ago

Solve 7x-2x(x+1)=6x+14 A) x=-12 B) x=12 C) x=-16 D) x=16

prisoha [69]

Answer:

x=-16 (answer : C

Step-by-step explanation:

hello:

put x=-16 in this equation : 7x-2(x+1)=6x+14

7(-16)-2(-16+1)=6(-16)+14

-112-2(-15) = -96+14

-112+30= -96+14

-82 = -82 .....true

3 0

3 years ago