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:
8 baseballs : 4 gloves
4 baseballs : 2 gloves
16 baseballs : 8 gloves
2 baseballs : 1 glove
10 baseballs : 5 gloves
Step-by-step explanation:
I think It's just asking to put some ratios that go with the one given.
Answer:
54minutes
Step-by-step explanation:
Let the time taken to clean up be t
Let the number of people cleaning be n
If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;
t = k/n
k is the constant of proportionality
If 3 people work together to clean, and took them 90 minutes, this means
at t = 90, n=3
Substitute
90 = k/3
k = 3×90
k = 270
To et the time it will take 5people to clean, the will say;
t =k/n
t =270/5
t = 54 minutes
Hence it will take 5 people 54minues to clean
Answer:
7 more students need to sign up.
Step-by-step explanation:
if you subtract the number of students needed by the number of students you have, you get 7 (30-23)
Answer:
144 is correct
Step-by-step explanation:
13 - 1 is 12
12 times 12 = 144
144 divided by 2 is 72
72 times 2 is 144
