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Goryan [66]
4 years ago
9

Each of the four sides of a swimmimg pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it

completely?
Mathematics
1 answer:
netineya [11]4 years ago
5 0
In this problem, we are asked for the volume of the pool filled with water. In this case, the volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m3. 
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What is the slope of the line that is perpendicular to a line whose equation 3y=-4x+2?
Zarrin [17]
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.

To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).

    3y = -4x + 2
    y = -4/3x + 2/3

The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.

Answer:
3/4 (the first option)
6 0
3 years ago
What is 7000000000+7000000000
gogolik [260]

Answer:14,000,000,000

Step-by-step explanation:   all u have to do i 7+7 then add your zeros so

5 0
2 years ago
Read 2 more answers
Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
Ulleksa [173]
Total cost job=
Retail price of parts+labor cost+manufacturing overhead

Total cost job 82

Retail price of parts 0

Labor cost=7.5×6.5=48.75

Manufacturing overhead ?

82=0+48.75+?

?=82−48.75

?=33.25

Manufacturing overhead is 33.25

Now find manufacturing overhead rate from the cost of labor
33.25÷48.75=0.682×100=68.2%

The answer 68.2%




4 0
3 years ago
in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that
ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0
3 years ago
Find cot theta. (-6,-3sqrt(5)
cupoosta [38]

0  Pretend that is theta XD


cot 0 = \frac{1}{tan0}


Find tan 0.

tan 0 = \frac{y}{x}

tan 0 = \frac{-3\sqrt{5}}{-6}

tan 0 = \frac{\sqrt{5}}{2}


cot 0 = \frac{1}{tan0}

cot 0 = \frac{1}{\frac{\sqrt{5} }{2} }    

Multiply 2/√5 to the numerator and the denominator (or multiply the reciprocal of the denominator to the top and bottom of the fraction)

cot 0 = \frac{1}{\frac{\sqrt{5}}{2} } (\frac{\frac{2}{\sqrt{5}} }{\frac{2}{\sqrt{5}}} )

cot 0 = \frac{2}{\sqrt{5}}  

Multiply √5 to the numerator and the denominator

cot 0 = \frac{2}{\sqrt{5}} (\frac{\sqrt{5} }{\sqrt{5} })

cot 0 = \frac{2\sqrt{5}}{5}


5 0
3 years ago
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