Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
did you try
Step-by-step explanation:
Answer: 90%
Step-by-step explanation:
Answer:
-1/3x + 5
Step-by-step explanation:
The slope-intercept is y = mx + b
The m is the slope and b is the y-intercept.
The equation is:
y = -1/3x + 5
Answer:
Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:
We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:
To calculate the height of the cone, we must use the Pythagorean Theorem:
We can treat the side length as the hypotenuse 
, the radius as the base 
, and solve for height 
. Set the expression up like this:
Now we can plug into our original formula:
