Answer: B. A piece of land surrounded by water on three sides
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
![\tan(\angle C)=\frac{DE}{CD}](https://tex.z-dn.net/?f=%5Ctan%28%5Cangle%20C%29%3D%5Cfrac%7BDE%7D%7BCD%7D)
Plug in the given values and solve for angle C.This gives,
![\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)](https://tex.z-dn.net/?f=%5Ctan%28%5Cangle%20C%29%3D%5Cfrac%7B80%7D%7B39%7D%5C%5C%5C%5C%5Ctan%28%5Cangle%20C%29%3D2.051%5Capprox%202.05%28Rounded%5C%20to%5C%20nearest%5C%20hundredth%29)
Therefore, the measure of tangent of angle C is 2.05.
Answer:
A. Yes. Each x value has only one y value. No x value has 2 different y values.
B. For the table, y is 8 when x is 11.
Plug in the value to determine the y value for the equation.
f(x)= 5(11)-21
f(x)= 55-21
f(x)= 34
Since 34>8, the value of the equation f(x) is greater when x=11.
C. 99=5x-21
120=5x
x=24
Final answer: 24
Step-by-step explanation:
Answer:
12.3693
Step-by-step explanation:
use distance formula