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
Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:
Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.
We can solve the linear equation by isolating the "x" variable on the left side.
Marco's travel must be shorter or equal to 92 miles.
Answer:
give branliest pls
Step-by-step explanation:
Answer:
120 square in
Step-by-step explanation:
The formula for area of a triangle is:
base × height ÷ 2
Plugging your triangle in to the formula, we have:
12 × 20 ÷ 2 = 120
Answer: 288.17
Step-by-step explanation:
y ∝ x
⇒ y = kx
substituting the given value of x and y , the equation becomes
12 = 14 k
therefore
k = 12/14
k = 6/7
The formula then becomes
y = 6/7 x
when y = 247, we have
247 = 6/7 x
6x = 247 x 7
6x = 1729
x = 1729/6
x = 288. 17
