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3 years ago

Help please i need this ansered

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Answer:

2 hours is the answer because when you are rounding to the nearest tenth they both will be $15.70.

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A 20ft by 40ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 396 ft

Eddi Din [679]

The width of the walkway is: 3 feet

Step-by-step explanation:

Given

Length of pool = 20 feet

width of pool = 40 feet

Let x be the width of the side walkway

Then the length with walkway will be: 20+2x

Width with walkway will be: 40+2x

Then total area with walkway: $(20+2x)(40+2x)$

so,

$Area\ with\ walkway - area\ of\ swimming\ pool=area\ of\ walkway\\(20+2x)(40+2x)-(20)(40)=396\\800+40x+80x+4x^2-800=396\\120x+4x^2=396\\4x^2+120x-396=0$

Dividing both sides by 4

$x^2+30x-99=0\\x^2+33x-3x-99=0\\x(x+33)-3(x+33)=0\\(x+33)(x-3) = 0\\x-3=0 => x=3\\x+33=0 => x=-33$

As the measurement of length cannot be negative, we will only consider the positive value.

Hence,

The width of the walkway is: 3 feet

Keywords: Rectangle, Area

Learn more about area at:

#LearnwithBrainly

3 0

3 years ago

Which equation can be used to find the value of x?

podryga [215]

X = 180 -(53 + 37)
or
x = 180 - (37 + 53)

hope it helps

3 0

3 years ago

The mileage of a new model SUV on the interstate highway has been stated by the manufacturer as having a mean of 20 mpg and a st

Allushta [10]

Answer: 0.0227502

Step-by-step explanation:

Let x denote the random variable that represents the mileage of SUV.

As per given we have,

$\mu = 20$

$\sigma = 3$

sample size : n= 36

We assume that the mileage of SUV is normally distributed.

Z-score value corresponds to x= 21.0,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{21-20}{\dfrac{3}{\dfrac{}{36}}}=2$

Using standard z-value table ,

The probability that the sample average will be over 21.0 mpg:-

P(X>35)=P(z>2)=1-P(z<2)=1-0.9772498=0.0227502

Hence, the required probability = 0.0227502

3 0

3 years ago

Im giving brainliest

Alla [95]

Answer:

80 is the measure because if aob is 40 then doe is 40 and dof is 120 minus the doe that 40 then you are going to get the mesuare which is 80

8 0

3 years ago

Read 2 more answers

Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago