Answer:
The exact value of its surface area = 144π m²
The exact value of its volume = 288π m³
Step-by-step explanation:
∵ The diameter of the sphere is 12m
∴ The radius of the sphere = 12 ÷ 2 = 6m
∵ The surface area of the sphere = 4πr²
∴ The surface area = 4 × π × 6² = 144π m²
∵ The volume of the sphere = 4/3 πr³
∴ The volume = = 288π m³
Check the picture below.
we know the lines are angle bisectors, so the line makes twin angles, so the line FP is making twin angles, we also know the angle FZP and the angle FYP are right-angles, as well as FP is a common hypotenuse to two right triangles, thus by the HA postulate for right triangles, triangle FPZ and triangle FPY are both congruent, so their sides are also congruents, thus PY = PZ.
Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
.
This says that if the total mileage is 300 miles or less he will be within his budget.
T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40
Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.
Res Fee + ($ per hr * # hrs) < $97.60
$31 + $7.40t < $97.60
subtract 31 from both sides
7.40t < 66.60
divide both sides by 7.40
t < 9
ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.
Hope this helps! :)
Answer:
Step-by-step explanation:
The identity property means that whatever you put in is whatever comes out. Notice that if we multiply 1 with any number, we get that number back. So multiplying by 1 is the identity property of multiplication.