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kirill [66]
2 years ago
7

135 cu.ft. = ? cu.yd.

Mathematics
2 answers:
Lapatulllka [165]2 years ago
7 0

To convert cubic feet to cubic yards divide by 27


cubic yards = 135 / 27 = 5


Answer: 5 cubic yards

gavmur [86]2 years ago
5 0

Step-by-step explanation:

135 cu.ft. = <u>5</u>cu.yd.

....

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Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise?
Helen [10]

Answer: $88.00 per week


Step-by-step explanation: 10% of 22 is 2.2.  22 + 2.2 = 24.20 per hour

Multiply 24.20x40hours = 968.00

Multiply 22.00x40 hours =880.00

Subtract 968-880=88.00 his new weekly pay minus his old weekly pay



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3 years ago
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Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?
SVETLANKA909090 [29]

Answer:

Option (3)

Step-by-step explanation:

w = \frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]

Since, cos(225) = cos(180 + 45)

                          = -cos(45) [Since, cos(180 + θ) = -cosθ]

                          = -\frac{\sqrt{2}}{2}

sin(225) = sin(180 + 45)

             = -sin(45)

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Therefore, w = \frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]

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                      = -\frac{1}{2}(1+i)

z = 1[cos(60) + i(sin(60)]

  = [\frac{1}{2}+i(\frac{\sqrt{3}}{2})

  = \frac{1}{2}(1+i\sqrt{3})

Now (w + z) = -\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})

                   = -\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}

                   = \frac{(i\sqrt{3}-i)}{2}

                   = \frac{(\sqrt{3}-1)i}{2}

Therefore, Option (3) will be the correct option.

3 0
3 years ago
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Ben went to Boure. He got a sandwich for $11.99 and a soda for $2.25. He tipped his waiter 15% and paid 9% in sales tax. What wa
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8 0
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