100 to anyone who can answer all of these !!!
1 answer:
You might be interested in
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Answer:
linear and y = 2x + 19
Step-by-step explanation:
the x- values increment by 2 and the values of y increment by 4
This indicates a linear relationship exists in the form
y = mx + c ( m is the slope and c the y-intercept )
m = =
= 2
y = 2x + c ← is the partial equation
to find c use any ordered pair from the table
using (- 5, 9 ), then
9 = - 10 + c ⇒ c = 9 + 10 = 19
y = 2x + 19 ← linear equation
As a check
x = - 7 : y = - 14 + 19 = 5 ← correct value of y
x = - 5 : y = - 10 + 19 = 9 ← correct value of y
x = - 3 : y = - 6 + 19 = 13 ← correct value of y
x = - 1 : y = - 2 + 19 = 17 ← correct value of y