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VikaD [51]
3 years ago
5

Determine if line AB is tangent to the circle. Type

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

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If he = 7x -27 find the value of x
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\\ \sf\longmapsto 7x-27=1

\\ \sf\longmapsto 7x=1+27

\\ \sf\longmapsto 7x=28

\\ \sf\longmapsto x=\dfrac{28}{7}

\\ \sf\longmapsto x=4

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3 years ago
2. The length of a rectangle is 4 centimeters less than twice its width. The perimeter
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Answer:

D. length = 10 cm; width = 7 cm

100% sure

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The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
SIZIF [17.4K]

Answer:

a

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

b

t = -2.92

c

p-value  =  0.0016948

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

      t =  \frac{ \= x  -  \mu }{ \frac{s}{\sqrt{n} } }

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0
3 years ago
Okay Adam has 16.45 kg of flour and he use a 6.4 kg to make his Hot Cross Buns the remaining flour is exactly enough to make 15
Karolina [17]
16.45 - 6.4 = 10.05kg of flour to make 15 batches of scones
1 batch = 10.05/15 
= 0.67kg of flour.
6 0
3 years ago
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