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Mashutka [201]
3 years ago
5

URGENT!! LAW OF SINES WORK

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

  1.  7.1 cm

  2.  10.9 cm

Step-by-step explanation:

1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.

__

2. By the Law of Sines, ...

  AB/AC = sin(ACB)/sin(B)

  AB = AC·sin(72°)/sin(38°) = 1.545·AC

The approximate value of AC from problem 1 is sufficient to get you close to the answer.

  AB ≈ 7.1×1.545 ≈ 10.9 . . . cm

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For a class project, Henry needs to know how many students at M College think that
grandymaker [24]

The estimated number of students at the M College who agree climate change is a serious issue is  1759

The percentage of total students is 59.42%

The method used can be biased.

<h3>How many students believe climate change is a serious issue?</h3>

The students surveyed are the sample while the students in the M College are the population. A population is the party of interest in an experiment. A population consists of all the members of the group. A sample is a smaller group of the population.

The limitation of using a sample to estimate for the population is that the sample might be a biased estimate of the population. If the sample is biased, the result of the experiment would be inaccurate.

Estimated number of students at M College = (sample that agree that climate change is a serious problem / total number of people surveyed) x number of students

(205 / 345) x 2960 = 1759

Percentage = (1759 / 2960) x 100 = 59.42%

To learn more about surveys, please check: brainly.com/question/11657686

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5 0
1 year ago
If WX= 82 cm, find the length of YZ. (OV = 9cm and OV is perpendicular to YZ)
damaskus [11]

The length of the measure of YZ is 80cm

<h3>Perpendicular lines</h3>

Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;

WX = 82cm

Required

Length. of YZ

Using the pythagoras theorem

YV = VZ = √41²-9²

YV = VZ = √1600

YV = VZ = 40

Since YZ = YV + VZ

YZ = 40cm + 40cm

YZ= 80cm

Hence the length of the measure of YZ is 80cm

Learn more on perpendicular lines here: brainly.com/question/1202004

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2 years ago
Half of the students in a freshman class are 14 years old. One-third are 15 and the rest are 13. Is the mean age greater than
Allisa [31]

the mean age is greater than the median age.

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3 years ago
Find the surface area of the pyramid.<br> 64in^2 <br> 56in^2 <br> 88in^2<br> 118in^2
ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of <em>one triangle is 12 inches</em>.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

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= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = s^{2}

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula s^{2})

A = s^{2}

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.

Now we add both areas together:-

48 + 16

= <u>64 inches^2</u> is the surface area, your answer is A.

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Answer:

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Step-by-step explanation:

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