Answer:
66.6% (see below)
Step-by-step explanation:
Each sphere 4/3
r²=4/3
(4²)=268.08cm³
Assuming the tube is the same width and height as the three spheres,
V=
r²h=
(4²)24=1206.37
The three spheres are 268.08*3=804.24cm³
The tube is 1206.37cm³
<u>I’m not sure if your question is asking the percentage of the tube that’s filled, or the percentage that’s unfilled.</u>
Filled: 804.24÷1206.37=0.66666=66.6%
Unfilled: 1206.37-804.24=402.13
402.13÷106.37=0.33333=33.3%
I'm guessing the <span>° is a exponent sign. To do this, simply multiply 12 by 3. Your answer is
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<span>
</span>
Answer:
maybe
Step-by-step explanation:
but what help do u want?
Answer:

Step-by-step explanation:
We are given that:

Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

Simplify:
