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Anestetic [448]
3 years ago
10

The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the length, in units, o

f the rectangle?
Mathematics
2 answers:
sergey [27]3 years ago
7 0

Answer:

11 units

Step-by-step explanation:

Let's do it this way:

Length = l

width = w

initial equation for area is l * w

We know that l = w+5

substitute.

w+5 * w = 36

solve.

6w = 36

w=6

The width is 6 units.

6+5 = 11

length = 11 units

Olegator [25]3 years ago
6 0

Answer:

It's 9. I just did it on Deltamath

Step-by-step explanation:

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3 years ago
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Use point-slope form to write the equation of a line that passes through the point (16,-14) with slope 11.
OlgaM077 [116]

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - 5 = -4 (x - (-1))

y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

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3 0
1 year ago
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Digiron [165]

Answer: 4/18

Step-by-step explanation:

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2 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
the lizards in the show eat about 250 crickets per week abbout how many crickets do the lizards eat each day
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Answer:

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Step-by-step explanation:

All you need to do is divide 250 by 7 because their are 7 days in a week.

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