Answer:
34.98yd^3
Step-by-step explanation:
Volume of a sphere V=4/3πr3
Where V = 2240yd^3
π = 3.14
2240 = 4/3×3.14×r^3
2240 = 4.1866r^3
r^3 = 2240/4.1866
r^3 = 534.784
r = ( 534.784 )^1/3
r = 8.1169
Since each dimension is to be multiplied by 1/4
Hence, 1/4×8.1169
r = 2.029.
New volume will be
V = 4/3×3.14×2.029^3
V = 4/3×3.14×8.3558
V = 34.98yd^3.
Answer is provided in the image attached.
Ratio of girls : boys = 5 : 4
<u>Find total parts:</u>
Total parts = 5 + 4 = 9
<u>Find 1 part:</u>
9 parts = 36
1 part = 36 ÷ 9 = 4
<u>Find 5 parts (Girls):</u>
Girls = 5 parts = 4 x 5 = 20
Answer: There are 20 girls.
The solution to –2(8x – 4) < 2x + 5 is x > 1/6
<h3>How to solve the inequality?</h3>
The expression is given as:
–2(8x – 4) < 2x + 5
Expand
-16x + 8 < 2x + 5
Evaluate the like terms
-18x < -3
Divide both sides by -18
x > 1/6
Hence, the solution to –2(8x – 4) < 2x + 5 is x > 1/6
Read more about inequalities at:
brainly.com/question/11613554
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