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soldier1979 [14.2K]
1 year ago
10

Which of the following statements must be true about this diagram? Check all that apply.

Mathematics
1 answer:
pishuonlain [190]1 year ago
8 0

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

 Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

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The volume of a large can of tuna fish can be calculated using the formula V= πr(r)h. Write an equation to find the radius, r, i
noname [10]

The equation r=\sqrt\frac{V}{3.14h} can be used to find the radius.

Step-by-step explanation:

Given,

Volume of large can;

V=πr(r)h

V=πr²h

Dividing both sides by πh

\frac{V}{\pi h}=\frac{r^2\pi h}{\pi h}\\\\\frac{V}{\pi h}=r^2\\\\r^2=\frac{V}{\pi h}

Taking square root on both sides

\sqrt{r^2}=\sqrt{\frac{V}{\pi h}}\\r=\sqrt\frac{V}{\pi h}

Putting π=3.14

r=\sqrt\frac{V}{3.14h}

The equation r=\sqrt\frac{V}{3.14h} can be used to find the radius.

Keywords: volume, square root

Learn more about square root at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

5 0
2 years ago
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp
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Answer:

ryan had a head start 10 meters

Step-by-step explanation:

hope this help

5 0
2 years ago
A volunteer is organizing the snacks at a concession stand and notices the ratio is sweet snacks to salty snacks is 5:1. If ther
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100 sweet snack, if it is 5:1 ratio than there’s 5 times the amount of salty snacks
3 0
2 years ago
Brainliest for the correct awnser!!! In general, when solving a radical equation with square roots, you should first isolate the
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Answer:

B

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s
anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2p(1-p)}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

so  

\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496

<em>(*)</em><em>This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9</em>

It can be obtained in Excel or OpenOffice Calc with

<em>NORMSINV(0.95)</em>

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1 year ago
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