Simplify. 1/3(1−1/4)^2

1 answer:

4 0

First step is parentheses so subtract 1/4 from 1

(1-1/4) = (4/4 - 1/4) = (3/4)

After parentheses we perform exponent operations

(3/4)^2 = (3^2/4^2) = (9/16)

Finally, after exponent operations we perform multiplications

(1/3)*(9/16) = (3/16)

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A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s

AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

$C = 16.2*10,000*10 = 1,620,000\ m^3$

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

$V=52*(5*0.5*765)\\V=99,450\ m^3$

The expected life of the landfill is given by its capacity divided by the yearly volume:

$L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years$

The landfill has an expected life of 16.3 years.

6 0

3 years ago

Solve The Problems

spayn [35]

X - 7 > 10
x > 10 + 7
x > 17

3x < = 21
x < = 21/3
x < = 7

5a - 2 < 18
5a < 18 + 2
5a < 20
a < 20/5
a < 4

2t + 8 > = -4 (t + 1)
2t + 8 > = -4t - 4
2t + 4t > = -4 - 8
6t > = - 12
t > = -12/6
t > = -2

4 0

3 years ago

Read 2 more answers

4. What is the measure of angle ABD in the figure below?* D 2x A B с

katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°