For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:

Rewriting the expression we have:

Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
9/10 in simpliest form is 9/10
Step-by-step explanation:
In order to simplify a fraction there must be:
1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 9 and 10.
or
2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 9 is not greater than 10.
9/10 as a decimal: 0.9
9/10 as a percent: 90%
Answer:
a = 36
Step-by-step explanation:
We use pythagoras theorem here.
h = 60
p = 48
b = a
h² = p² + b²
60² = 48² + b²
3600 = 2304 + b²
b² = 3600 - 2304
b² = 1296
b = 36
Answer:
4
Step-by-step explanation:
h(7)= 7²-1= 49-1= 48
f(h(7))= 48/3 -12
= 16-12
= 4
Answer:
11/20
Step-by-step explanation:
At the beginning, the number of marbles in the box are:
10 green marbles
11 white marbles
The first marble chosen is green, and then it is not replaced in the box. Therefore, the number of green marbles left in the box is 9.
Therefore, the total number of marbles left in the box is:

Now we want to find the probability to choose a white marble. The number of white marble is

Therefore, the probability of choosing a white marble is:
