Answer:
41
Step-by-step explanation:
Given Expression:
(4 x 9 - 21) \ 3+6^2
Multiply 4 and 9 to get 36.
36 - 21 / 3 + 6^2
Subtract 21 from 36 to get 15.
15/3 + 6^2
Divide 15 by 3 to get 5.
5+6^2
Calculate 6 to the power of 2 and get 36.
5+36
Add 5 and 36 to get 41.
41
So j completed 6/7 of a lap
gabe has completed 2/9 lap
so
1 j lap=7 mins s o
7j
j=num of laps
1 g lap=9 mins so
9g
g=num of laps
then 6+j
and g+2
so
when will the times be equal
7j+6=9g+2
subtract 2 from both sides
7j+4=9g
divide both sides by 9
7/9j+4/9=g
so to get a whole number of laps, we must subsitute a number when it is multiplied by 7 then add 4, we get a multiplue of 9
so if j=2
7/9(2)+4/9=g=14/9+4/9=g=18/9=g=2
so josh and gabe must run 2 lap each because
6+(2 times 7)=2+(9 times 2)
6+14=2+18
20=20
true so
the answer is 2 laps
Answer:
The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):
x² + x² = 18²
2x² = 324
x² = 162
x = 9√2
