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Papessa [141]
2 years ago
11

Write 5/6 - 7/9 in simplest form

Mathematics
1 answer:
DiKsa [7]2 years ago
7 0

9514 1404 393

Answer:

  1/18

Step-by-step explanation:

18 is a suitable denominator for both fractions:

  5/6 = 15/18

  7/9 = 14/18

Then the difference is ...

  5/6 -7/9 = 15/18 -14/18 = (15 -14)/18 = 1/18

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Using the unit circle, determine the value of cos(-150°).
elena-14-01-66 [18.8K]
<h3>Answer:  -\frac{\sqrt{3}}{2}</h3>

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)

The x coordinate of this terminal point is the value of cos(150).

5 0
3 years ago
Read 2 more answers
What is the cross-sectional area of a cement pipe 2 in. thick with an inner diameter of 5 ft? Use pie 3.14.
Paul [167]

Answer:

1.60 ft^{2}

Step-by-step explanation:

Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.

i.e Area = \pir^{2}

So that,

for the inner part of the pipe,

r = \frac{diameter}{2}

 = \frac{5}{2}

 = 2.5 feet

Area of the inner part of the pipe = \pir^{2}

                                 = 3.14 x (2.5)^{2}

                                 = 19.625

Are of the inner part of the pipe is 19.63 ft^{2}.

Total diameter of the pipe = 5 + 0.2

                                           = 5.2 feet

r = \frac{5.2}{2}

 = 2.6 feet

Area of the pipe = \pir^{2}

                            = 3.14 x (2.6)^{2}

                            = 21.2264

Area of the pipe is 21.23 ft^{2}.

Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe

                                           = 21.2264 - 19.625

                                           = 1.6014

The cross sectional area of the cement pipe is 1.60 ft^{2}.

6 0
3 years ago
Heidi milks two cows. She gets 5 over 6 of a gallon of milk from the first cow and 2 over 3 of a gallon from the second cow. On
melamori03 [73]

Answer:

1 gallon

Step-by-step explanation:

milk she got from both cows

= 5/6+2/3

=1 1/2

milk left after some spilled

= 1 1/2- 1/2

= 1

5 0
3 years ago
Simplify the expression -9(1 + 8r)
Rzqust [24]

Answer:

-9 -72r

Step-by-step explanation:

-9 times 2 is -9

-9 times 8r is -72r

3 0
3 years ago
The perimeter of a cross section of a piece of lumber is 16 1/2in. The length is twice the width. Find the actual dimensions of
Lorico [155]
<span>the perimeter of the cross section is 16.5 inches.
the perimeter of the cross section is 2*L plus 2*W where L is the length of the cross section and W is the width of the cross section.
since L = 2*W, the perimeter becomes 4*W plus 2*W = 6*W.

16.5 / 6 = 2.75 inches.
W = 2.75 inches.
L = 5.5 inches.
P = 2*L + 2*W = 2*5.5 + 2*2.75 = 11 + 5.5 = 16.5 </span>
6 0
3 years ago
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