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Yakvenalex [24]
3 years ago
8

A circle with a radius of 12 inches has an arc that measures 8 pi inches. Find the measure of the central angle determined by th

is arc.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
We know that

[length of a circle]=2*pi*r
r=12 in
[length of a circle]=2*pi*12--------------> 24pi in

if 360° (full circle)--------------------> has a length of 24pi in
X-------------------------------------------> 8pi

X=8pi*360/24pi-----------> 120°

the answer is 120°

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4 0
3 years ago
Two factors of -48 have a difference of 19. The factor with a
sdas [7]

Answer:

13

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors (F_1\times F_2)  Difference (F1-F2)   Difference (F_2-F_1)

-2\times 24                  -26                                  26

2\times -24                  26                                 -26

-3\times 16                   -19                                   19

3\times -16                   19                                  -19

-4\times 12                   -16                                   16

4\times -12                   16                                  -16

6\times -8                   -14                                   14

12\times -4                   14                                  -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are -3, 16 and  3,-16

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are -3, 16

The sum of the factors is = -3+16=13 (Answer)

3 0
3 years ago
Read 2 more answers
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zzz [600]
X^2+x-12=0 factors out into (x+4)(x-3) so the answer is: x=-4, x=3
6 0
2 years ago
When trying to find the best deal for items, you should ____
kodGreya [7K]
Question 1:

All provided options would give the best deal on an item

Answer: Option d [all of the above]

Question 2:

When an item's price is knocked off by 15%, it means the item has only 85% of its original value left to pay. Hence, a discount of 15% means multiplying the original price by 85%

Answer: option C
6 0
3 years ago
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Ratio of cupcakes to muffins at a bakery is 6:5 the total is 99. how many cupcakes
sleet_krkn [62]
6+5 = 11

99/11 = 9

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8 0
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