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blagie [28]
3 years ago
11

In a circle, a 90° sector has area 16π ft2. What is the radius of the circle?

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
Sector area  = 0.5 * r^2 * angle (in radians)

so:

16 pi = 0.5 * r^2 * (90*pi/180)

r^2 = 16 pi /(0.25 pi) = 64

r = 8


therefore it would be d
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2*10^3 in scientific notation
Natali5045456 [20]
2000, you just need to put three zeros at the end of the number.
7 0
3 years ago
Which equation is equivalent to 2^4x=8^x-3?
slavikrds [6]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
I will upvote and give brainliest answer
Citrus2011 [14]

Answer:

x = 58 degrees

Step-by-step explanation:

Angle K (which is x) and Angle I are congruent corresponding angles with one another, so if, as an example, Angle I was 10, Angle K would also be 10.

<u><em>All you need to do in this case is add Angle H (56) and Angle A (66) together:</em></u>

56 + 66 = 122

<u><em>Then subtract 122 from 180 (because triangles add up to 180 degrees) to get x:</em></u>

180 - 122 = 58

So, x = 58 degrees.

7 0
3 years ago
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Maksim231197 [3]
X=200
2/3 of 15 is 10 make that negative add it to the other side 1/5x = 40 and then multiply 40 by 5 to get your answer
Check 
1/5 of 200 is 40 - 10 = 30
40-10=30
30=30
6 0
3 years ago
Show work please I need help asap
rosijanka [135]

Answer:

12. -11

13. 2

Step-by-step explanation:

12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction

For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.

From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.

Your new equation is -10-8+7 = -11

13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))

  • keep in mind there’s an addition between the two

Division and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17

Second multiply 5 x -3 = -15

Now you can combine the two answers using addition: 17 + (-15) = 2

5 0
3 years ago
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