Answer:
Step-by-step explanation:
Adding 1 to both sides of the equation.
Factoring the left side of the equation.
Taking the square root of both sides of the equation.
Subtracting 1 from both sides of the equation.
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Answer:
∠3 = 107°
Step-by-step explanation:
Similar to the other question, ∠3 and ∠4 are supplementary and add up to 180 degrees as they make up the entirety of a straight line.
∠4 is 73°, so ∠3 has to be 107°.
Answer: 5+5+12+12
Step-by-step explanation:
=
, and when you multiply it by 5 it turns into
, which is
So in conclusion he watched 9 & 10 minutes watching the movie
