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sdas [7]
3 years ago
13

Bill draws a regular octagon with the perimeter of 32 units.He picks a vertex of the octagon and draws two line segments through

the interior of the octagon on each different opposite vertex.His line segments divide the octagon into three quadrilaterals.what does the shape look like ?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

The quadrilaterals are two congruent isosceles trap ezoids and a kite.

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Given that (-4,3) and (6,-3) are opposites points on the circle (i.e diameter) write the equation of the circle
ElenaW [278]
The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.
7 0
4 years ago
If 15 pen cost $3.90, which equation would help determine the cost of 6 pens?
madreJ [45]

Answer

1.56

Step-by-step explanation:

You must find the unit rate. To do so, you must divide 3.90 by 15. That will give you 0.26. After, times 6 and .26 to get your answer. Hope this helps.

8 0
3 years ago
Write the number 3,2, and 8 addition sentence. Show two more way to find the sum.
STALIN [3.7K]
3+2+8= 13 or 8+3+2= 13
7 0
4 years ago
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The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking
vladimir2022 [97]

Answer:

A sample of 767 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

14 defectives out of 160, so \pi = \frac{14}{160} = 0.0875

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% of the percentage?

We would need a sample of n.

n is fround when M = 0.02.  So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.0875*0.9125}{n}}

0.02\sqrt{n} = 1.96\sqrt{0.0875*0.9125}

\sqrt{n} = \frac{1.96\sqrt{0.0875*0.9125}}{0.02}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.0875*0.9125}}{0.02})^2

n = 766.8

Rounding up

A sample of 767 is needed.

3 0
3 years ago
Stefan sells Jin a bicycle for ​$124 and a helmet for ​$19. The total cost for Jin is 130​% of what Stefan spent originally to b
AleksandrR [38]
Stephan originally spent 110 dollars. He made 33 dollars.

Add the 124 and 19 to get 143 dollars. Then, divide by 1.3 (the number as a decimal when converted) which gets the original price it was sold for. Then, subtract 110 from 143 and you get the difference of 33 dollars.
4 0
3 years ago
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