Answer:
The correct answer is option d. 179.503 cub in
Step-by-step explanation:
Formula:
Volume of Sphere = (4/3)πr³
r - radius of sphere
To find the volume of sphere
From the figure we get,
diameter d = 7 in
radius r = d/2 = 7/2 = 3.5 in
Volume = (4/3)πr³ = (4/3) * 3.14 * (3.5)³ = 179.503 cub in
Therefore,the correct answer is option d. 179.503 cub in
Answer:
m∠C = 35°
Step-by-step explanation:
Data
From the figure, it can be seen that a right triangle is formed where CA is the hypotenuse and CD is one of the legs.
From definition:
cos(C) = adjacent/hypotenuse
cos(C) = CD/CA
cos(C) = 23/28
m∠C = arccos(23/28)
m∠C = 35°
Answer:m∠XZY = (a – b)
Step-by-step explanation:just took the test and got it right
If you had absolutely no idea, then you'd have roughly two choices
of how to find it:
#1). Try numbers until you find the right one.
Pick a number.
Cube it.
If you get less than 729, go back and try a bigger number.
If you get more than 729, go back and try a smaller number.
Eventually you find the right one.
Try 1. 1³ = 1 . Too small.
Try 2. 2³ = 8 . Still too small.
Try 5. 5³ = 125 . Still too small.
Try 20. 20³ = 8,000. Ooops. Too big.
Try 10. 10³ = 1,000 Too big.
Try 8. 8³ = 512. Oooo. Too small, but maybe getting close.
Try 8.5. 8.5³ = 614.125 Still too small, but very close.
Try 9. 9³ = 729 . That's it ! yay !
#2). x³ = 729
Take the log of each side: log(x³) = log(729)
3 log(x) = log(729)
Divide each side by 3 : log (x) = (1/3) log(729)
Look up log(729) : log(x) = (1/3) (2.86272...)
= 0.95424...
Raise 10 to the power
of each side: 10^log(x) = 10⁰·⁹⁵⁴²⁴···
x = 8.99994...
(That's the way it is with logs.
They never come out even.)
Answer:
B
Step-by-step explanation:
