A line passes through the points (0, 3) and (10, 2). What is its equation in slope-intercept form?

The final statement is: Area of triangle is equal to 83.65 cm²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm

Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm

Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]

                                 =[tex]\sqrt{6998.401}[/tex]

                                  =83.65 cm²

Hence, The area of the triangle is equal to 53.65 cm²

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Answer:

Primary Data Secondary Data

Reliability and Suitability

Primary data are more reliable and suitable for the enquiry because it is collected for a particular purpose. It is less reliable and less suitable as someone else has collected the data which may not perfectly match our purpose.

Answer:

(2) Time-consuming This method is time-consuming as investigator personally visits the various places and meet different people to collect information.

3) Secondary data is usually gathered from the published (printed) sources. A few major sources of published information are mentioned below: Published articles of local bodies and Central and State Governments. Statistical synopses, census records and other reports issued by different departments of the Government.

4) National Sample Survey Organisation (NSSO) is the largest and a very prominent agency of India working for the collection of data on various economic variables such as education,health,literacy rates, etc. ... Census of India is responsible for the collection of data related to different demographic characteristics.

5)The investigator must ensure that the data are suitable for the purpose of enquiry. 2. Inadequate Data: Adequacy of the data is to be judged in the light of the requirements of the survey as well as the geographical area covered by the available data.

6)The principles to be followed while drafting questionnaire are: 1) The questionnaire must not contain many questions, as greater the questions, lesser will be the possibility of reply from respondents. 2) The questions should be brief and clear. 3) The questions should be arranged in a logical order.

7) Reliable and Accurate: Results based on census method are accurate and highly reliable. This is because each and every item of the population is studied. Less Biased: Results based on census method are less biased. It is because of the absence of investigator's discretion regarding the selection of sample items.

8) It allows us to get near-accurate results in much lesser time. When you use proper methods, you are likely to achieve higher level of accuracy by using sampling than without using sampling in some cases due to reduction in monotony, data handling issues etc.

Step-by-step explanation:

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1. Primary data is much more reliable than secondary data. This is because primary data gives up-to-date information about a topic and is collected by doing research, avoiding the use of secondary sources which may include false and not up-to-date information.

2. The most common methods of collecting primary data are interviews, field observations, self-administered surveys, and experiments.

The experimental method:

merits:

-the researcher can have control over variables

-gains insight into methods of instruction

-can be used to determine what's best for the population

demerits:

-sample may not be representative

-human response can be difficult to measure

-subject to human error

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5. Some precautions that should be considered when using secondary data are:

Reliable agency:

-must ensure that the agency that has published the data should be reliable

Method of collecting data used:

-The investigator should also be aware of the method that was used in collecting the data

-Sampling method may be biased depending upon the mode of selection of samples.

-All these should be ascertained before making use of the secondary data.

Suitability for the purpose of an enquiry:

-The Investigator must ensure that the data are suitable for the purpose of the present enquiry.

-The suitability of the data is determined by investigating the nature, objectives, time of collection, etc. of the secondary data.

Adequacy and accuracy to avoid the impact of bias:

-It is necessary to use adequate data to avoid biases and prejudices leading to incorrect conclusions.

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Sorry, I didn't answer all of your questions, but I hope this helps.

Answer: x=-5

Step-by-step explanation:

You would have to do the inverse to “undo” the equation.

So first you would do -7-3=-10

Then you would do -10/2=-5 to find x

Answer:

45degrees, 79egrees and 56degrees

Step-by-step explanation:

Complete question:

The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is  11 more than the measure of the smallest angle. Find all three measures .

Let the smallest angle be x

Let the largest angle be y

Let the third angle be z

Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1

If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;

x = y - 34

y = x + 34 ..... 2

If the measure of the third angle is  11 more than the measure of the smallest angle, this is expressed as;

z = x +  11 .... 3

Substitute 2 and 3 into 1;

x + (x+34) + (x+11) = 180

x+x+x+45 = 180

3x+45 = 180

3x = 180 - 45

3x = 135

x = 135/3

x = 45 degrees

From 2;

y = x+34

y = 45 + 34

y =79degrees

From3;

z = x+11

z = 45 + 11

z = 56degrees

Hence the measure of the angles are 45degrees, 79egrees and 56degrees

Answer: 42.5 degrees

Step-by-step explanation:

Sin= Opposite/hypotenuse or Height/ String length

when we don't know the angle we use sin^-1(OPP/HYP) so sin^-1(25/37)= 42.51

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:

B. 180 degrees

Step-by-step explanation:

The straight angle represents 180°. Hence, option (B) is the correct answer.

Answer:

The answer is "Choice A"

Step-by-step explanation:

Please find the numbering of the question in the attached file.

Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

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: 522.5$

:

First calculate yearly interest

500 x 0.015 = 7.5

7.5 x 3(for 3 years) = 22.5

Then add them together!

500 + 22.5 = 522.5

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Answer:

x = 4

Step-by-step explanation:

2(8x) = 64

x = 4

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

Answer: 12

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using the above trigonometric ratio for the given triangle, we get

[tex]\cos 46^\circ=\dfrac{x}{8}[/tex]

[tex]0.6947=\dfrac{x}{8}[/tex]

[tex]0.6947\times 8=x[/tex]

[tex]5.5576=x[/tex]

Approximate the value to the nearest hundredth.

[tex]x\approx 5.56[/tex]

Therefore, the value of x is 5.56 units.

Answer:

1. 20

2. 35

3. 20

4. 20

Step-by-step explanation:

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Answer:

45

Step-by-step explanation:

Remember that all triangles equal 180. Add 50 and 85. It equals 135. Subtract that from 180 and it equals 45.

Answer:

84

Step-by-step explanation:

12 x 7 = 84

Answer:

84

Step-by-step explanation:

12÷ 1/7=84

Answer:

B (1/x^2 - 4x + 3)

Step-by-step explanation:

You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.

The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

Given the expression;

Factorize the quadratic function in the expression to have:

[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]

Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

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Answer:

4.66666666667.

Step-by-step explanation:

3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.

Answer:

ΔDEF

Step-by-step explanation:

T ↔ D     S ↔ E      R ↔ F

ΔTSR is similar to ΔDEF