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Mariulka [41]
3 years ago
15

The size of a tv is identified by the length of its diagonal. a new tv is being advertised as a 70 in. tv. the tv screen is in t

he shape of a rectangle with a 59.5 in. width.
what is the height of the tv screen, rounded to the nearest tenth of an inch?

Mathematics
1 answer:
Basile [38]3 years ago
7 0

Using the Pythagorean theorem:

a^2 + b^2 = c^2  ( a and b are the sides and c is the diagonal)

59.5^2 + b^2 = 70^2

Simplify:

3540.25 + b^2 = 4900

Subtract 3540.25 from both sides:

b^2 = 1359.75

Take the square root of both sides:

b = 36.874

Rounded to the nearest tenth = 36.9 inches.

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PLZ help me. URGENT. <br> Find all the solutions
pishuonlain [190]

Answer:

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Step-by-step explanation:

oh it helps

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6 0
3 years ago
(4r2 – 3r + 2) – (-r2 – 3r) =
sasho [114]

Answer:

5r^2+2

Step-by-step explanation:

(4r^2 – 3r + 2) – (-r^2 – 3r) =

Distribute the minus sign

(4r^2 – 3r + 2)  +r^2 + 3r =

Combine like terms

(4r^2 + r^2 – 3r+ 3r + 2) =

5r^2+2

5 0
3 years ago
Can someone please explain the steps to solve these questions.
Amiraneli [1.4K]
Alright! So to solve these questions, you need to find out the difference. You can use ratios to solve this. For example, question #25:

A class had 30 pupils at the beginning of this school term, but now has 5 more pupils. What is the percent of increase?

The question is basically asking how much 5 is in ratio to 30. So just divide 5 (the given amount) by 30 (the total amount). The answer is 0.16, or 16%
3 0
3 years ago
An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular
kolezko [41]

Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

Correlation coefficient = r = 0.649

Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

This means that 42.1% of variation in the response is explained by the regression line.

5 0
3 years ago
Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?
Zielflug [23.3K]

Answer:

c. (-2, 5)

Step-by-step explanation:

y - 2 = 3/2(x + 4)

to know which is the correct option we have to replace the equation x and y with what is in the point

a.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((-2) + 4)

-3 = 3/2(2)

-3 = 3

Wrong

b.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-6) + 4)

3 = 3/2(-2)

3 = -3

Wrong

c.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-2) + 4)

3 = 3/2(2)

3 = 3

Correct

d.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((6) + 4)

-3 = 3/2(10)

-3 = 15

Wrong

8 0
3 years ago
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