We find the volume of the ball in cubic inches:
V = 4/3 πr³
V = 4/3 x π x 5³
V = 523.6 cubic inches
Weight = 1/100 x 523.6
Weight = 5.24 pounds.
Answer:
a) 184cm³ b) 15.3cm³
Step-by-step explanation:
A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³
Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³
Remainder= 192cm³ - 8cm³ = 184cm³
B) Remainder = 184cm³ is cut into 12 equal pieces
Each pieces = 184cm³ ÷ 12 = 15.3cm³
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Wouldnt you need it to equal something? like a-5=b so then b+5=a
Angle of elevation is 37°
<u>Step-by-step explanation:</u>
As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,
sin θ = opp/ hyp
= 75/125
= 0.6
θ = sin⁻¹ (0.6) = 36.9°≈ 37°
So angle of elevation is 37°.