The picture in the attached figure
we know that
volume of the box=15*15*5-----> 1125 in³
the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³
volume of 9 spheres=9*65.45 ----> 589.05 in³
<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³
the answer is536 in³
It is -16. Get b/a and then plug that answer.
Since -2 is less than or equal to -1 input it into the first equation.
-3•(-2)-4
6-4
2
the answer is 2
Answer:4 In 2+4 In x
Step-by-step explanation:
Got it right on edge
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."