Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem
we have
substitute the values
Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that
Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that
solve for AC
Step 
<u>Find the length of the segment DC</u>
we know that
we have
substitute the values
Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem
we have
substitute the values
therefore
<u>the answer is</u>
Answer:
Parallel Slope: -3 Perpendicular Slope: 1/3
Step-by-step explanation:
First, solve for y to get the simplified equation for the line.
Once you solve, the equation should be y=-3x+2
Seeing this, we know that the slope of this line is -3. A line parallel will have the same slope as the original equation, and a line perpendicular will have a slope that is the opposite reciprocal.
Hope that helps!
Answer:
314 cm²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr² by substituting r = 10.
A = πr² = π10² = 314 cm²
Answer: b
Step-by-step explanation:
10 x 10= 100
15 x 10= 150
100+150= 250
