Answer:
Boys - 36$ 33 cents
Girls - 72$ 67 cents
Step-by-step explanation:
Boys x
Girls 2x
Total 109
2x+x=109
3x=109/:3
X=36,3333
Boys x =36$ 33c
Girls 2x= 72,666= 72$ 67c
Answer:
36
Explanation:
Multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...
Multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144,...
The least common multiple of 4 and 18 is 36.
The ladder will reach 122 ft up the building.
The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle. x will be the height from the top of the fire truck to the point where the ladder hits the building. 75° is the angle the ladder will make with the fire truck.
We have an angle, the side opposite the angle, and the hypotenuse. Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:
x/120 = sin 75
Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116
However, this is just from the top of the fire truck to the point where the ladder hits the building. We still add the 6 feet from the top of the truck to the ground. 116+6 = 122.
84
Step-by-step explanation:
All three angles add up to 180 degrees.
Since it is a right triangle, there is a 90 degrees angle. And we know another angle is 6 degree. So we use the formula: 180 - (known angle + known angle) = unknown angle
Plugging in the information we get: 180 - (90 + 6) = x
180 - 96 = 84
So x = 84
We can check our work by adding all known angles to see if it is equal to 180 using the formula known angle + known angle + known angle = 180 degrees
Plugging in the information we get: 90 + 6 + 84 = 180
96 + 84 = 180
180 = 180
So the answer 84 is correct
