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3 years ago

What is the measure of arc bc? A. 76 B. 40 C. 96 D. 58

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

4 0

Answer:

A. 76

Step-by-step explanation:

Angle A is half the difference between the measures of arc DE and BC.

m∠A = (1/2)(DE -BC)

20 = (1/2)(116 -BC) . . . . substitute the given values

40 = 116 -BC . . . . . . . . multiply by 2

BC = 116 -40 . . . . . . . . add BC -40

BC = 76

_____

Comment on intersecting secants

When the secants intersect inside the circle, the angle where they cross is half the sum of the intercepted arcs. When they intersect outside the circle (as here), the angle where they meet is half the difference of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

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Which relation is a function

4vir4ik [10]

option d because it goes straight through both the x and y axis and is perfectly straight

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3 years ago

Please i need help it is due in 2 mins

Yakvenalex [24]

Answer:

mean = 9.3

median = 10

mode =13

Step-by-step explanation:

First put the data in order from smallest to largest

1,1,7,9,9,10,11,13,13,13,15

The mean is the sum of all the numbers divide by how many numbers we have

(1+1+7+9+9+10+11+13+13+13+15)/11102/11=9.272727=9.3

median is the middle number

11/2 = 5.5

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mode is most often 13 appears the most

5 0

3 years ago

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Mademuasel [1]

Using translation concepts, it is found that the equation that represents the new function is:

$y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

<h3>Translation:</h3>

The function goes through these following translations:

Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$ .

Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$ .

Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$ .

Then, the equation is:

$y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%20%5Cdiv%202%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B2%20%7D%20" id="TexForm

NeX [460]

Answer:

$\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given

$\frac{\sqrt{2} }{2}$ + $\frac{2}{\sqrt{2} }$ ← rationalise the denominator by multiplying by $\frac{\sqrt{2} }{\sqrt{2} }$

= $\frac{\sqrt{2} }{2}$ + ( $\frac{2}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ )

= $\frac{\sqrt{2} }{2}$ + $\frac{2\sqrt{2} }{2}$

= $\frac{3\sqrt{2} }{2}$

5 0

3 years ago

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection

Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : $p=0.35$

Sample size : n= 500

Sample proportion : $\hat{p}=\dfrac{156}{500}=0.312$

Test statistic for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78$

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0

3 years ago