❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting
be x –
{and we know that
}




__________
Keeping in mind that a right angle is 90°,
set up an equation, letting
be x:
{and we know that
}



❄
Answer:
x = sqrt(7) or x = -sqrt(7) thus of the choices you have A:
Step-by-step explanation:
Solve for x:
x^2 = 7
Take the square root of both sides:
Answer: x = sqrt(7) or x = -sqrt(7)
Consider,

. Let's say

then the problem reduces to

. (Do you understand this step?)
So then replacing a again with our definition we get,

.
Answer is in the attachment below.
-1<f(x)<1
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.