Answer:
C
Step-by-step explanation:
The angle between the tangent and the radius at the point of contact is right.
Thus the triangle is right with hypotenuse = 3 + 8 = 11 ( 3 is the radius )
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 11², that is
x² + 9 = 121 ( subtract 9 from both sides )
x² = 112 ( take the square root of both sides )
x = = = × = 4 → C
Answer:
18
Step-by-step explanation:
We will try to find the angle on the left side of the small triangle. So we have to use Tan.
SOHCAHTOA
TanФ = 12/8
= 12/8 = 56.31°
So the other one is 33.69° It's the top left one of the smaller triangle.
The top right side of the bigger triangle is 56.31 because they both add up to make 90°
Now that we have an angle of the bigger triangle we will find the x.
Tan 56.31 = x/12
x = 18
Theres probably a easier way but i dunno
Answer:
The answer should be G
Step-by-step explanation:
Hope this helps.
Have a great day
Answer:
171,735
Step-by-step explanation:
150,000*1.07=160,500.
160,500*1.07=171,735
171,735/150,000=14.49%
Answer:
60 ft, 120 ft, 182 ft
Step-by-step explanation:
Hi there,
To find the perimiter of a polygon, you need to add of all of the sides.
So, let's do that:
x + 2x + 3x+2
Since we are given the perimeter, we make what we just did above, equal to the perimeter
x + 2x + 3x +2 = 362
Combine lke terms...
6x + 2 = 362
Subtract 2 from both sides to start to isolate the variable...
6x = 360
Divide both sides by 6 to isolate x...
x = 60
But we're not done yet...
The length of the first side is 60 ft, the length of the second side is 2*60 which is 120 ft, and the length of the third side is 3*60 + 2 which is 182 ft.
Let's check...
Does 60 + 120 + 182 = 362?
362 = 362
Our answers are right
Hope this helps! Stay safe!
- Emily