Answer:
-84 + 10i
Step-by-step explanation:
first, you want to take out the negative symbol from the square root, and we know that i = sqrt(-1) (sqrt = square root)
so the equation would look like
i x sqrt(100) - 84
solve for the square root of 100 which is 10
now the equation is
10i - 84
that is the answer and you can flip the equations so it can look like the actual answer
-84 + 10i
Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:


-Solve:




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Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:


-Solve:





-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:

Cone:

Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
C. 2.5×10^-27
Step-by-step explanation:
(2×10^-13)^-2 = 2^-2 × 10^(13×(-2)) = 1/4 × 10^-26
= 0.25 × 10^-26 = 2.5 × 10^-27
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Your scientific or graphing calculator can compute and display this for you.