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3 years ago

A rectangular book measures 18 x 9. What is the length of its diagonal? Round your answer to the nearest tenth

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

Answer:

20.1246118 or 20.12

Step-by-step explanation:

First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal

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What’s that answer

ziro4ka [17]

A is the answer if I calculated right ;)

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2 years ago

How is the following reciprocal function f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%2B2%7D" id="TexFormula1" tit

meriva

Answer is b for sure I am just trying to get point not right answer decrees

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3 years ago

9. A recent study examining the effects of sugar consumption on a middle

ExtremeBDS [4]

Answer:

(B) Because the confidence interval includes 0, we don't have convincing evidence that sugar causes faster reading times, on average.

Step-by-step explanation:

Confidence Interval for the population mean difference in reading is basically an interval of range of values where the true population mean difference in reading time can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

In using confidence interval of population mean difference in reading times for hypothesis testing, if the interval obtained contains a value of 0, it means the population mean difference in reading times can take on a value of 0 and indicate that there isn't enough evidence to conclude that there is a significant difference in the two quantities being compared. (The null hypothesis is true).

If the interval doesn't contain a 0, then it can be concluded that there is enough evidence to conclude that there is significant difference in the two quantities being compared.

Hope this Helps!!!

6 0

2 years ago

Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known

Lostsunrise [7]

Answer:

To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)

To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.

Points on f(x): (0, -4) (2, 0) (5, 6)

Points reflected in line y=x: (-4, 0) (0, 2) (6, 5)

Plot points (-4, 0) (0, 2) (6, 5) and connect to form a straight line - this is the inverse of the function: $f^{-1}(x)$

To determine the equation of f(x):

Choose 2 points on f(x): (5, 6) and (0, -4)

Calculate the slope (gradient) by using:

$m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2$

Using the slope-intercept form: y = mx + b

(where m is the slope and b is in the y-intercept)

From inspection of the graph, we can see the line crosses the y-axis at -4,

⇒ f(x) = 2x - 4

As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then

f(x) = 2x - 4, 0 ≤ x ≤ 5

To determine the equation of $f^{-1}(x)$ :

Rewrite f(x) as $y = 2x - 4$

Swap the x and y: $x = 2y - 4$

Rearrange to make y the subject: $y= \dfrac{1}{2}(x + 4)$

Replace y with $f^{-1}(x)$

So the equation of the inverse is: $f^{-1}(x)= \dfrac{1}{2}(x + 4)$

As the original function is a segment, then

$f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6$

(shown in blue on the attached diagram)

** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **

4 0

2 years ago

Are the below pairs of lines parallel, perpendicular, or neither?

siniylev [52]

They are parallel to eachother

4 0

2 years ago

Read 2 more answers