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
The probability is C) 3/8.
The spinner landed on H 15 times out of (12+9+15+4) = 40 times. This is a probability of 15/40, which simplifies to 3/8.
Answer:
1536 in^2
Step-by-step explanation:
This is basically asking for the surface area so knowing that is a cube all the sides are equal so one side would be 16(16) which is 256 in ^2. The knowing that there is 6 sides you would multiply it by 6 which is 256(6)= 1536^2
Answer: 1 3/4
Step-by-step explanation: First, convert 4 1/2 and 2 3/4 to have like denominators.
4 1/2 = 4 2/4 because 1 x 2 = 2 and 2 x 2 = 4 = 2/4
2 3/4 stays the same.
Now, subtract 4 2/4 - 2 3/4 (4 x 4 = 16 + 2 = 18) and (2 x 4 = 8 + 3 = 11)
18/4 - 11/4 = 7/4 or 1 3/4