Answer:

Step-by-step explanation:
<h2>Given that :</h2>
- The radius of a circle is 2.9 in.
<h2>to find :</h2>
- Find the circumference to the nearest tenth.
<h2>formulas used :</h2>
- circumference = 2 × π × r
where,
<h2>explanation :</h2>
⟼ c = 2πr
⟼ c = 2 × 22/7 × 2•9 inches
⟼ c = 2 × 3•14 × 2•9 inches
⟼ c = 6•28 × 2•9 inches
⟼ c = 18•21 inches.
<h2>Round to the nearest tenth :</h2>
⟼ c = 18•21 inches
⟼ c = 20 inches
∴ circle circumference is 20 inches .
Answer:
The ratio of Tan B is

OR

Step-by-step explanation:
In Right Angle Triangle ABC
angle C = 90°
AB = Ramp = 17 feet
BC =Horizontal distance = 15 feet
AC = Height from floor = 8 feet
To Find:
Ratio of Tan B = ?
Solution:
In Right Angle Triangle ABC By Tangent Identity we have

Substituting the given values we get

OR

Answer:
x = 8.0 m
Step-by-step explanation:
With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.
The area of a square is its side length squared. So the side length of the square squared is 42, so the side length of the square is sqrt(42). The perimeter of the square is 4 times the side length, or 4sqrt(42), which is approximately 25.92.
Solve by using the quadratic formula.
x=1+-i√5 / 6