Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
x ×
= 9
( divide both sides by
)
x = 9
Answer:
the value is 2.2721803393 x 1400
Answer: w = 4
Step-by-step explanation:
Let the unknown number be w , then
the product of w and 3 = 3w
Nine less than the product of 3 and the number = 3w - 9
completing the equation , we have
3w - 9 = 4
add 9 to both sides
3w = 13
w = 13/3
w = 4
Answer:
0.35355339059
Step-by-step explanation:
Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.
Step-by-step explanation:
There are two kew parameters for a sphere: Center (
,
,
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:


The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:


The general formula of a sphere centered at (h, k, s) and with a radius r is:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.