Number of answer right divided by total number of questions:
17/20 = 85%
Answer: 4.6 km
Step-by-step explanation:
a^1 + b^2 = c^2
2^2 + b^2 = 5^2
4 + b^2 = 25
b = sqrt 25 - 4
b = sqrt 21 = 4.6 km
Answer:
x is equal to 20 in this picture.
Step-by-step explanation:
In order to find this, we need to note that these two angles will be equal to each other. Now we can put their values equal to each other and solve for x.
3x + 50 = 6x - 10
50 = 3x - 10
60 = 3x
20 = x
Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.
The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.
The sides of these triangles are in ratio

so the coordinates after the first putt are

The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.
Now a second putt of 3.8 feet north puts us at

The squared distance to the origin is exactly

A little calculator work tells us

Third choice.