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: 144 ft^3 is the volume of the prism
Step-by-step explanation: Volume=Length*Height*Width. So first I decided to multiply 12*6=72. The I multiplied 72*2=144.
Well this is a one step equation, just take 1.5 cups of salad and divide it buy 2 because you are only serving half of the people.
1.5 / 2 = .75 cups of celery
Answer:
Set of all real numbers
Step-by-step explanation:
When we talk of domain, we mean the possible values of x that the equation can take without being undefined
So x-values that makes the equation defined are the domain of the graph
From the diagram, we can see that the graph extends from negative infinity to positive infinity
What this mean is that the possible values here come from the top right and extends to the left
So this means that the range of possible values are the set of all real numbers
Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
