You can tell based off the translation of graphs.
Vertical:
y=f(x) + k : graph shifts k units up
y=f(x) - k : graph shifts k units down
Horizontal:
y=f(x - k) : graph shifts k units right
y= f(x+k) : graph shifts k units left
When multiplying with fractions you can multiply the top and the bottom independantly
5*3 = 15
1*4 = 4
so 5 * (3/4) = 15/4
9514 1404 393
Answer:
- 85°
- 60°
Step-by-step explanation:
1. Angle JKL is half the measure of the intercepted arc JK.
(1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°
angle JKL is 85°
__
2. The angle between tangents is the supplement of the intercepted arc.
angle JKL = 180° -(360° -240°)
angle JKL = 60°
Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that 
and 
where 
=angle and r is the hypotenuse of the triangle.
First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:
Now we will calculate the height of the building using the y equation and so:
The building is 0.034921 miles or approximately 184.3774 feet tall.
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = 
bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
