Answer:
Step-by-step explanation:
slope, m = 0.1m/4m = 0.025
Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N
actual effort = 300 N
efficiency
= potential energy out / actual energy in
= 225 N / 300 N = 0.75
Answer:
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Step-by-step explanation:
Answer:
S.A = 147.35 cm²
Step-by-step explanation:
Surface area of the triangular pyramid = base area + ½(perimeter of base*slant height)
Base area = ½*bh
b = 7 cm
h = 6.1 cm
Base area = ½*7*6.1 = 21.35 cm²
Perimeter of triangular base = 7 + 7 + 7 = 21 cm
slant height = 12 cm
Plug in the values into the equation
S.A = 21.35 + ½(21*12)
S.A = 21.35 + 126
S.A = 147.35 cm²
Answer:
Step-by-step explanation:
F=I(1+r)^t
500=225(1.15^t)
t=ln(500/225)/(ln1.15)
t=5.713 years
Answer:
102
Step-by-step explanation:
Step 1: ask your calculator. It will tell you ...
0.68 × 150 = 102
_____
Many calculators will deal with percentages directly. If yours doesn't, you may need to convert the percentage to a decimal fraction. Since "%" means the same thing as "/100", you know that 68% is the same as 68/100, or 0.68 (sixty-eight hundredths).
Using your multiplication skills, you can do this in your head with a simple transformation of the problem:
0.68×150 = 68×1.50 . . . . multiply one factor by 100; divide the other factor by 100
= 68×1 +68×0.50 . . . . . . use the distributive property
= 68 + 68/2 . . . . . . . . . . . recognize multiplying by 0.5 is dividing by 2
= 68 +34 = 70 +32 . . . . . rearrange the addition to simplify, if you like
= 102