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2 years ago

Find the length of the shortest side ( rounded to 2DP) if the area of the rectangle is 28m^2

Mathematics

1 answer:

posledela2 years ago

4 0

Answer:

4.39 to 2DP.

Step-by-step explanation:

x * (x - 2) = 28

x^2 - 2x = 28

Solving by completing the square:

(x - 1)^2 - 1 = 28

(x - 1)^2 = 29

x = +/-√29 + 1

x = 6.38516, -4.38516

x must be positive so it = 6.38516.

The shortest side = x - 2 = 4.385.

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The shower block on the campsite has an area of 144 m2 The length of the shower block is 24 m. What is the width? m

skad [1K]

Area= length*width

Plug in what you know.

144= 24*width

Divide both sides by 24.

width= 6 meters.

I hope this helps!
~kaikers

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3 years ago

QF Q6.) Find the function for a.

irakobra [83]

The function for a is (f o g) (x) = 8x^2-10.

Explanation

=========================
$f(x)=2x-4, g(x)=4x^2-3, (f o g)=f(g(x))$

I already knew that the g of x is equal to $4x^2-3$ so I substitute inside of the g of x

$g(x)=4x^2-3$ =======> $f(x)=4x^2-3$ =============> $2(4x^2-3)-4$

simplify it

$2(4x^2-3)-4$ =======> $8x^2-6-4$ =========> $8x^2-10$

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5 0

3 years ago

Read 2 more answers

A kitchen counter is to be covered with tiles that are 4in. Square. How many tiles can be placed along one row of a countertop t

murzikaleks [220]

14 tiles would be able to go on that one side of the counter

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2 years ago

Dash offers and unlimited talk and texting plan for $80 per month AB&C charges $0.20 per text message and $55 for 1,000 min

mr_godi [17]

Answer:

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

3 0

2 years ago

A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sid

Anton [14]

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

6 cubes are painted on 0 side

E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567

4 0

2 years ago