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Anna71 [15]
2 years ago
11

What is the measure of o

Mathematics
1 answer:
Helga [31]2 years ago
6 0

Answer:

D

Step-by-step explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

s=r \theta

Where

s is the arc length

r is the radius of the circle

\theta is the intercepted angle

In this diagram, we can see that  \theta  is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find \theta:

s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4

This is given in radians, so \theta is 4 radians

D is the correct answer choice.

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Rashan says that –6 ÷ 2 = -3. Which multiplication expression can he use to check his answer?
dusya [7]

-3(2)

HOPE THIS WILL HELP YOU

3 0
3 years ago
What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?
Elza [17]

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


6 0
3 years ago
How many 8-ounce cups can you fill from 9 gallons of juice
Anastasy [175]
1 gallon = 4 quarts
1 quart = 32 ounces
1 gallon = 128 ounces
9 gallons = 1,152 ounces
Filling 8 ounce cups = 1,152 / 8 = 144 cups
3 0
3 years ago
Please answer this please
andrew-mc [135]

Answer: A

Step-by-step explanation: Range is the distance between one point to the next. That would make A the correct answer.

7 0
3 years ago
As a recruiter, you are asked to recruit 65 new sales associates for an organization. Traditionally, for the organization, 25% o
Lorico [155]

Answer: 1733.33 ≈ 1734 applicants

Step-by-step explanation:

Let x be the number of job applicants being looked at.

If 25% of applicants become job candidates, then number of job candidates = 0.25x

If 20% of job candidates receive job offers, then the number of job offers = 0.20 × 0.25x = 0.05x

If 75% of job offers are accepted, then number of accepted recruits = 0.75 × 0.05x = 0.0375x

This 0.0375x shows the number of new recruits which is equivalent to the 65 that is needed by the client if the recruiter.

By equating this 0.0375x to 65,we have:

0.0375x = 65

x = 65/0.0375

x= 1733.33 applicants, for whole number sake because we're dealing with humans, we approximate to 1734

5 0
3 years ago
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