Answer:
(-1,-5)
Step-by-step explanation:
Starting at (0,0), we perform the first translation:
T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.
From there we do the second translation: T<-6,2>
which means: 6 units to the left (in the horizontal direction) which takes us to "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.
Therefore the new location is (-1,-5)
33
_____
16 | 530
48
-------
50
48
----------
2
quotient = 33
remainder = 2
Answer:
See explanation below.
Step-by-step explanation:
Given: 100 lbs on Earth is 16.6 lbs on the moon.
a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.
b. An equation that relates the weight of someone on the Moon who travels to the Earth:
100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:
Moon Weight * 6.02 = Earth Weight.
Proof:
16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.
c. A 185 lb astronaut on Earth would weigh:
16.6 / 100 = .166. Take the Earth weight and multiply by .166:
185 * .166 = 30 lbs on the Moon.
d. A person who weighs 50 lbs on the Moon:
50 * 6.024 = 301.2 lbs on Earth.
Hope this helps! Have a good day and year! :)
Answer:
The amount of steel used = 94.38 
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius = 
= 
radius = 2.1 m
Total surface area of a cylinder = 2
rh + 2
= 2r(r + h)
= 2 x 
x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12
Since 
of the steel was wasted, then;
x 87.12 = 7.26
Actual area of steel sheet used = 87.12 + 7.26
= 94.38
Thus, 94.38 of steel was used in making the tank.
