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AleksAgata [21]
1 year ago
12

54 divided by _____ = -27

Mathematics
1 answer:
Nikitich [7]1 year ago
6 0

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

\frac{54}{x}=\text{ -27}

\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2  (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}

Hence, 54/-2 = -27

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P and Q are two points on the line x - y + 1 = 0 and are at distance 5 from the origin. Find the area of the triangle OPQ. ​
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Answer:

P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.

Step-by-step explanation:

P and Q are the intersection points of

x-y+1 = 0 and the circle x^2 + y^2 = 25

sub y = x+1 into the circle

x^2 + (x+1)^2 = 25

x^2 + x^2 + 2x + 1 - 25 = 0

x^2 + x - 12 = 0

(x+4)(x-3) = 0

x = 3 or x = -4

y = 4 or y = -3

so P(3,4) and Q(-4,3) are our two points

Height of triangle.

h = |0 - 0 + 1|/√2 = 1/√2

PQ = √( (-7)^2 + 1^2) = √50 = 5√2

area POQ = (1/2)(1/√2)(5√2) = 5/2 square units

hope this helped

7 0
2 years ago
a dolphin is swimming 18 feet below the surface of the ocean. there is a coast guard helicopter 75.5 feet above the surface of t
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Answer:

93.5

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3 years ago
Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
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Total cost job=
Retail price of parts+labor cost+manufacturing overhead

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Manufacturing overhead ?

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?=82−48.75

?=33.25

Manufacturing overhead is 33.25

Now find manufacturing overhead rate from the cost of labor
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The answer 68.2%




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Answer:

Height : 3 cm

Step-by-step explanation:

The formula for a trapezoid is

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2

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