Answer:
119 degrees
Step-by-step explanation:
All triangles have a sum of 180 degrees for all of their angles
so 180= 24+37+ x
x= 119
Answer:
$70
Step-by-step explanation:
Interest = Principal x Rate x Time
p = 3500
r = .02
t = 1
multiply the above and you get 70
Stefan requires 6 hours to wash the cars by himself. In one hour he washes 1/6 of the cars. Misha can wash the cars by herself in 5 hours. In 1 hour she can wash 1/5 of the cars.
Stefan has 2.5 hours to wash the cars as he has to go to the football game. In 2.5 hours he has washed (1/6)*2.5 = 5/12 of the cars. This leaves 1 - 5/12 = 7/12 of the cars for Misha to wash. As she washes cars at the rate of 1/5 per hour, it would take her (7/12)/ (1/5) = (5*7)/12 = 35/12 hours to wash the remaining cars.
35/12 hours is equal to 175 minutes or 2 hours 55 minutes.
Misha finishes washing the cars in 2 hours and 55 minutes after Stefan leaves.
Answer:
See the attached figure 2.
Step-by-step explanation:
The question is as shown at the attached figure 1.
given: The garden is a right triangle with base 10 m and height 15 m.
We need to draw the garden such that 1 unit on the grid represents 2 m.
So the scale factor is 1 unit = 2 m
base = 10 m = 10/2 = 5 units
height = 15 m = 15/2 = 7.5 units
So, the garden on the grid will be a right triangle with base 5 units and height 7.5 units.
See the attached figure.
Set up a system of equations.
l=4w
2l+2w=110
Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11
Substitute w back into the first equation.
l=4(11)=44
So, the length is 44 feet and the width is 11 feet.
Hope this helped!