Answer:
4 ft³
Step-by-step explanation:
From the question;
- Diameter of the beach ball is 24 Inches
We are required to determine the volume of the air in the beach ball;
- We need to know that the volume of the air is the same as the volume of the beach ball.
- The ball is in the shape of a sphere
Radius = 12 inches
But, 1 ft = 12 inches
Thus, radius = 1 ft
Therefore;
Taking pi as 3.142
Volume = 4/3 × 3.142 × 1³
= 4.189 ft³
= 4 ft³ (nearest cubic foot)
Therefore, the volume of the air in the beach ball is 4 ft³
Answer:
Step-by-step explanation:
The triangles are not similar. Looking at the diagram, triangle STU is smaller than triangle PQR. If they are similar, it would mean that
ST/PQ = TU/QR = SU/PR
This means that there would be a scale factor. Substituting, the values, it becomes
ST/PQ = 7/9 = 0.78
TU/QR = 10/15 = 0.67
SU/PR = 8/12 = 0.67
Therefore, since
ST/PQ ≠ TU/QR ≠ SU/PR
The triangles are not similar.
Answer:
-3
Step-by-step explanation:
We need to use the distributive property a couple times to expand the parentheses.
Remember that when expanding parentheses, we find the sum of the products of the outside term with each of the inside terms.
5(x - 4) = 5 * x + 5 * (-4) = 5x - 20
-(2x + 5) = -1 * 2x + -1 * 5 = -2x - 5
Now we have:
5x - 20 + 3x - 9x = 6 - 2x - 5 + 8x
Combine all the terms with x:
-x - 20 = 6x + 1
7x = -21
Divide by 7:
x = -21/7 = -3
The answer is thus -3.
<em>~ an aesthetics lover</em>
Answer: 75, 25sqrt(13), figure out the third
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
B = 67.4 degrees (approximately)
Discussion:
From plane trigonometry
sin(B) = side opposite angle B \ hypotenuse
= 12/13
Use a calculator (take the inverse sine of 12/13) gives
B = 67.4
Thank you,
MrB
