Answer:
Move each point 2 left then 3 up then connect the dots
Step-by-step explanation:
He is 174 yards from the top.
Since we have a 60° angle and a right angle, this is a 30-60-90 triangle. In these triangles, we can label the sides as t, t√3 and 2t, with t being the side opposite the 30° angle (the smallest side); t√3 being the side opposite the 60° angle (the middle side); and 2t being the hypotenuse (the longest side).
Our 87 yard side is across from the 30° angle, so it is t.
The side we are looking for is the hypotenuse, which would be 2t; 2(87) = 174.
Answer:
3/4
Step-by-step explanation:
The ratio given says this - 3 puppies : 2 adults = 5 total dogs
You are given (?) puppies : (?) adults = 80 total dogs
In this case, you are trying to find the number of puppies, so you do not need to care about the number of adults. You need to compare the ratio with the actual amount.
Total/puppies = total/puppies
5/3 = 80/(?)
Now, cross multiply.
5(?) = 240
Divide both sides by 5 and you get your answer.
(?) = 48
First let's find the rate at which one person paint one wall. We know it takes 40 minutes for 8 people to paint 4 walls.
If we divide 40 minutes by 4 walls, we find that it takes 8 people 10 minutes to paint ONE wall. Next, we multiply 10 minutes per wall by 8 people to find how long it takes ONE person to paint ONE wall. Since it takes 8 people 10 minutes, reducing the number of people to one will increase the required time by a factor of 10. So it takes ONE person 80 minutes to paint ONE wall.
Now let's use this information to find out how long it takes 10 people to paint 7 walls. First, multiply 80 minutes by 7 since there are 7 times as much wall to paint. We now know that it takes 560 minutes for one person to paint 7 walls. Finally, divide 560 minutes by 10 people.
The answer is 56 minutes.
