Answer:
x = 6 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+ x^2 = 12^2
36 + x^2 = 144
Subtract 36 from each side
x^2 = 144-36
x^2 =108
Take the square root of each side
sqrt(x^2) = sqrt(108)
x = sqrt(36*3)
x = 6 sqrt(3)
Answer:
Choice D
Step-by-step explanation:
The Cavalieri's principle states that if two or more solids have identical cross-sectional area as well as height, then the solids will have equal volume.
Therefore, the volumes of the cylinders are the same
Answer:
c > 9
Step-by-step explanation:
2c/3 + 1 > 7
subtract 1 from both sides
2c/3 > 6
multiply both sides by 3
2c > 18
divide both sides by 2
c > 9
Answer:
20 apples is 55.55% of 36 apples.
Step-by-step explanation:
Given that I had 36 apples, to determine what is the percentage of 20 of them, the following calculation must be performed:
36 = 100
20 = X
(20 x 100) / 36 = X
2000/36 = X
55.55 = X
Therefore, 20 apples is 55.55% of 36 apples.
u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ = 
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ = (
) = 59.04° ( to 2 dec. places )
