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blsea [12.9K]
3 years ago
5

AB is Tangent to circle O at B.

Mathematics
2 answers:
musickatia [10]3 years ago
8 0
We are tasked to solve for the measurement of the radius of a circle with center O. The given values are the AB=7 units and AO=8.9 units. To further understand the problem, see attached picture. It is a right triangle, we can use Pythagorean theorem in solving for radius such as the solution is shown below:
AO² = r² + AB²
8.9² = r² + 7²
r² = 8.9² - 7²
r= 5.5

The radius is 5.5 units. 

BartSMP [9]3 years ago
8 0
The radius equals 5.5

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● For the polygon you are assigned, assume the radius is 1 unit . Round all answers to the nearest hundredth , if necessary.
lorasvet [3.4K]

9514 1404 393

Answer:

  1) 135°

  2) 0.77 units

  3) 0.92 units

  4) 6.12 units

  5) 2.83 square units

Step-by-step explanation:

1) The exterior angle at any vertex is 360°/n, where n is the number of sides. For the octagon, the exterior angle is 360°/8 = 45°. The interior angle will be the supplement of this: 180° -45° = 135°.

The measure of each interior angle is 135°.

__

2) Each sector of the octagon is an isosceles triangle with a central angle of 45° (also 360°/8). Since the radius is 1 unit, the length of one side is twice the sine of half the central angle.

  s = 2·sin(45°/2) ≈ 0.765367

The length of one side is about 0.77 units.

__

3) Similarly, the apothem is the cosine of half the central angle:

  a = cos(45°/2) ≈ 0.923880

The apothem is about 0.92 units.

__

4) For an octagon, the perimeter is 8 times the length of one side.

  P = 8s = 8(0.765367) ≈ 6.12293

The perimeter is about 6.12 units.

__

5) The area of one sector (isosceles triangle) is given by the formula ...

  A = (1/2)bh

  A = 1/2sa ≈ 1/2(0.765367)(0.923880) ≈ 0.353553

Then the area of the octagon is 8 times this:

  A = 8(sector area) = 8(0.353553) ≈ 2.82843

The octagon area is about 2.83 square units.

3 0
3 years ago
Which set does not contain –3?
STALIN [3.7K]
Set? Are you missing part of the question
8 0
2 years ago
I think the answer is 38 but i’m not sure.
garik1379 [7]
I think its 38             but I'm not sure                                                       
7 0
2 years ago
When the square of a certain number is diminished by 9 times the number the result is 36?
ArbitrLikvidat [17]
X²-9x=36
minus 36 both sides
x²-9x-36=0
what 2 numbers multiply to -36 and add to -9
-12 and 3
(x-12)(x+3)=0
set to zero
x-12=0
x=12

x+3=0
x=-3



the number is either -3 or 12
3 0
3 years ago
Eugene took out a loan for $1075 at a 12.6% APR, compounded monthly, to
aleksandr82 [10.1K]

Answer:

approximately 12 payments.

Step-by-step explanation:

you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25

5 0
3 years ago
Read 2 more answers
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