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3 years ago

12

A home improvement store advertises 50 square feet of flooring for $300.00 including a $100.00 installation fee. How much does e

ach square foot of flooring cost?

1 answer:

dimulka [17.4K]3 years ago

3 0

$6 . It will cost $6 because spending 6 dollars , 50 times will equal $300

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Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr

Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

$L=L_1+L_2$

$L_1=\sqrt{80^2+x^2}$

$L_2=\sqrt{60^2+(100-x)^2}$

$L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}$

differentiate w.r.t x we get

$\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

Put $\frac{\mathrm{d} L}{\mathrm{d} x}=0$ to get minimum value

$\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

squaring

$x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)$

Rearranging

$28x^2-1800x+640000=0$

$x=\frac{400}{7}$

thus $L_1=98.312 ft$

$L_2=73.73 ft$

$L=172.04 ft$

7 0

3 years ago

What best explains whether a triangle with side links 5 cm 13 cm and 12 cm is a right triangle

Lostsunrise [7]

Step-by-step explanation:

Pythagoras Theorem

If the sum of the squares of the smaller two sides is equal to the square if the third side then it is a right triangle

${a}^{2} + {b}^{2} = {c}^{2}$

So, (5)^2 + (12)^2

is 25 + 144 = 169

Which is equal to (13)^2 which is also 169

The sides of the given triangle follows pythagoras theorem, therefore it is a right triangle

Hope it helps:)

4 0

3 years ago

Read 2 more answers

What is the arc length of the the arc subtended in a circle with radius 6 and an angle of 7pi/8

joja [24]

First, find the fraction of the circumference represented by central angle 7pi/8:

7pi/8
--------
2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is 7pi/8 7
-------- * 12 pi = -------- units, or 21/4 units, or 5 1/4 units.
2pi 16 pi

7 0

3 years ago

Lol this again really need answers

padilas [110]

Answer:

the middle one

Step-by-step explanation:

y/x

and so 6/8 = y/16

4 0

3 years ago

Find the solution to the system of equations.

harina [27]

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

4 0

3 years ago

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