This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]

=1795/185.3772
=9.683
The answer is 9.683 yd^3

5 0

3 years ago

Use the cosine sum and difference identities to find the exact value.<br><br> COS(5pi/12)

nydimaria [60]

5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = $\frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}$
=(2.4495 - 1.4142): 4 = 0.258825

8 0

2 years ago

Read 2 more answers

What Is the answer to 10ac-x/11=-3

cestrela7 [59]

Multiplty both sides by 11. 11 times 11 cancels out, 11 times -3 equals -33. You should get 10ac - x = -33
Add x to both sides: 10 a c = x − 33
Divide both sides by 10 c : a = x − 33 /10c

revised tada!

4 0

3 years ago

Six coins are tossed what is the probability that at least 4 of them will show heads

Thepotemich [5.8K]

66.67% chance.

Answer.

6 0

3 years ago