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3 years ago

14

A television screen measures 18" tali by 24" wide. All televisions are advertised by giving the approximate length of the diagon

al of the screen. (For example: A 48" television means that the diagonal of the television measures 48".) How should the television in this example be advertised?

1 answer:

Drupady [299]3 years ago

4 0

Answer:

30

Step-by-step explanation:

Given that:

Dimension of TV = 18 by 24

Length of its diagonal :

Using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = Length of diagonal

Length of diagonal = √(18^2) + (24^2)

Length of diagonal = √900

Length of diagonal = 30

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The majority of Americans spend most of their income on:

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It would be housing. Hope it helps!

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A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0

pogonyaev

Answer:

The quantity of natural numbers between $a^{2}$ and $c^{2}$ is $2\cdot (a + b) + 1$ .

Step-by-step explanation:

If $a^{2}$ , $b^{2}$ and $c^{2}$ are consecutive perfect squares, then both $a$ , $b$ and $c$ are natural numbers and we have the following quantities of natural numbers:

Between $b^{2}$ and $c^{2}$ :

$c^{2} = (b+1)^{2}$

$c^{2} = b^{2}+2\cdot b + 1$

$c^{2}-b^{2} = 2\cdot b + 1$

And the quantity of natural numbers between $b^{2}$ and $c^{2}$ is:

$c^{2}-b^{2}-1 = 2\cdot b$

Between $a^{2}$ and $b^{2}$ :

$b^{2} = (a + 1)^{2}$

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$b^{2}-a^{2} = 2\cdot a + 1$

And the quantity of natural numbers between $a^{2}$ and $b^{2}$ is:

$b^{2}-a^{2}-1 = 2\cdot a$

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3 years ago

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

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3 years ago

Finding the Zeroes of a Quadratic Function

lora16 [44]

Answer:

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Step-by-step explanation:

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3 years ago

Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helpin

Evgesh-ka [11]

Answer:

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

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3 years ago