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djverab [1.8K]
3 years ago
9

A circle has a central angle measuring 3pi/4 radians that intersects an arc of length 45 in. What is the length of the radius of

the circle?
Mathematics
1 answer:
xenn [34]3 years ago
6 0
<span>I think the answer would be 19.1 ft. but I'm not for sure.</span>
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Please help I don’t understand how to do this
horsena [70]

Answer:

DOC = 70

BOC = 110

AOD = 110

Step-by-step explanation:

AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.

AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.

Hope this makes sense:)

5 0
3 years ago
Find the commission on a $1,250 sale with a commission rate of 5%.
Nana76 [90]
Essentially, we must take 5% of $1250. When we drop the percent sign, we move the decimal 2 places to the left, giving .05. Then "of" means multiply. We take $1250 and multiply times .05, giving 
<span>$62..50 </span>

<span>Another way to do it is to take 10%, or $125. </span>
<span>Then 5% is half of that. Half of $125 is $62.50 We can do that by dividing $125 by 2. I did it in my head. Others might do it on paper. Still others might have a calculator handy and say $125 divided by 2 on the calculator. We should all get the same answer unless one person spaces out or is tired. It happens!</span>
5 0
3 years ago
Read 2 more answers
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second
Goshia [24]

First question seems incomplete :

Answer:

40 ways

Step-by-step explanation:

Question B:

Number of boys = 6

Number of girls = 4

Number of people in committee = 3

Number of ways of selecting committee with atleast 2 girls :

We either have :

(2 girls 1 boy) or (3girls 0 boy)

(4C2 * 6C1) + (4C3 * 6C0)

nCr = n! ÷ (n-r)!r!

4C2 = 4! ÷ 2!2! = 6

6C1 = 6! ÷ 5!1! = 6

4C3 = 4! ÷ 1!3! = 4

6C0 = 6! ÷ 6!0! = 1

(6 * 6) + (4 * 1)

36 + 4

= 40 ways

3 0
2 years ago
A rectangle is 4 ft long and 2 ft wide. find its area in square inches.​
denis-greek [22]

\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2

8 0
3 years ago
Help? I'm not exactly sure how to do this :/
uranmaximum [27]
What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?
6 0
3 years ago
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