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Sauron [17]
3 years ago
9

A line has a slope of 4. What is the slope of any line perpendicular to this line? A −4 B −14 C 14 D undefined

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
3 0

Answer:

-1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 4 = -1

Divide by 4

m = -1/4

The slope of a line that is perpendicular to a line that has a slope of 4 is -1/4

viva [34]3 years ago
3 0

Answer:

-1/4

Step-by-step explanation:

The slopes of perpendicular lines are reciprocals of each other,

meaning if the slope of one line is 4 then its perpendicular lines slope is -1/4.

<em>Thus,</em>

<em>its slope is -1/4.</em>

<em />

<em>Hope this helps :)</em>

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In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region
stich3 [128]

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

5 0
2 years ago
What's the surface area of this figure? (figure shown on picture)
KIM [24]

Answer:

800 in²

Step-by-step explanation:

Let’s find the area of all the shapes in the net.

10 · 10 = 100

100 · 2 = <u>200</u>

15 · 10 = 150

150 · 4 = <u>600</u>

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3 0
3 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
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5) Which one of the following proportions is NOT true?*
Tpy6a [65]
The second one, 69/24 = 23/8 and cannot be simplified further
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