Answer:
33493.3
Step-by-step explanation:
Sphere
Solve for volume
V=4/3πr^3 4/3*3.14*20^3=33493.3
(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
x^2 + 9x - 10 = 0
(x+10)(x-1) = 0
x = 1 inch dimension
The question asks for the rate of toys per hour.
So we shall divide the total toys assembled by the total hours.
Its a five day week.
The number of hours allotted per day are 8.
So total allotted during the week are 8 × 5 = 40 hours.
Number of toys made during the week are 400.
Hence the number of toys assembled per hour per person
= number of toys / number of hours
= 400 / 40
= 10 toys per hour per person.
The average number of toys assembled per hour per person is 10.
Answer:2x-y-6=0 & 2x-y=6
Step-by-step explanation:
-3y=-6x+18.
-3y+6x=18
-y+2x=6
2x-y=6
2x-1y=6
2x-y=6
2x-y-6=0
Please consider the attached graph.
We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.
First of all, we will convert 14 cm into feet.
We can see that model on left side has a scale of 1 cm is equal to 15 feet.
14 cm = 14×15 feet = 210 feet.
We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.
Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.
Now we need to convert actual height of 210 feet into inches using 2nd scale.

Therefore, the height of the model on right is 28 inches.