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LuckyWell [14K]
3 years ago
11

Susan is attempting to construct a square table with each side length equaling three feet. To check her work, Susan measures the

diagonal of the square when she is finished constructing the table. What should the diagonal be if the side lengths are indeed three feet?
Mathematics
2 answers:
maks197457 [2]3 years ago
8 0
The diagonal should be 3 feet
lakkis [162]3 years ago
7 0

Answer:

The diagonal should be 4.24 feet if the side lengths are indeed three feet.

Step-by-step explanation:

Susan is attempting to construct a square table with each side length equaling three feet.

This question is based on Pythagoras theorem.

We have the sides of the right triangle as 3 feet by 3 feet and we have to find the diagonal or hypotenuse.

Let the hypotenuse be = x

We get;

3^{2} +3^{2} =x^{2}

=> 9+9=x^{2}

=>  18=x^{2}

x = √18 = 3√2= 4.24 feet

Hence, the diagonal should be 4.24 feet if the side lengths are indeed three feet.

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Answer:

Let the total distance Aileen ran be 'x'

Let the distance ran by Andrew be 'y'

Refer to graph attached for graphical representation of distance travelled by both.

Applying the formula,

distance=speed*time

x=20*t      Equation  1

y= 15*t       equation 2

Since it can be easily understood by the graph attached, that

x=150+y  equation 3

Now putting values of x and y in equation 3

20*t =150 +15*t.

5t= 150

t=30 seconds.

putting the values of t in both the equation 1 and 2

x=20t

=20*30

x  = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

Step-by-step explanation:

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2 years ago
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iogann1982 [59]

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2 years ago
The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c
Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function s(p)=\dfrac{3000}{2p+a}, where <em>s</em> is the number of cartridges sold, in thousands; <em>p</em> is the price per cartridge, in dollars; and <em>a</em> is a constant.

Put s(p)=100000, p= 10, we get

100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97

i.e. s(p)=\dfrac{3000}{2p-19.97}

Put p=20, we get

s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

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3 years ago
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Flauer [41]
Your answer is B. -125 4/27
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