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zheka24 [161]
4 years ago
14

Working alone ryan can dig a 10ft by 10ft hole in five hours. castel can dig the same hole in six hours how long would it take t

hem to dig the hole if they worked together
Mathematics
1 answer:
Inessa [10]4 years ago
7 0
<span>Ryan rate = 1/5 job/hr
Castel rate = 1/6 job/hr
Together rate = 1/x job/hr

Equation:

1/5 + 1/6 = 1/x
6x + 5x = 30
11x = 30

x = 2 8/11 hr = 2 hr (8/11)60 = 2hr 47 minutes (time to do the job together)</span>
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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant does the line with equation
IgorC [24]

Answer:

At intersection

x=2.68

y=5.34

Step-by-step explanation:

Equation of circle with center (h,k) and radius r is

(x-h)^{2}+(y-k)^{2}=r^2\\\\With\,\, center\,\,(0,4)\,\, and\,\, r=3\\\\(x-0)^{2}+(y-4)^{2}=3^2\\\\x^2+(y-4)^{2}=9---(1)\\\\Equation\,\,of intersecting\,\,line\\y=0.5x+4---(2)

To find point of intersection:

From (2)

x=\frac{y-4}{0.5}=2(y-4)\\\\x^2=4(y-4)^{2}\\\\Put\,\,in\,\,(1)\\\\4(y-4)^{2}+(y-4)^{2}=9\\\\5(y-4)^{2}=9\\\\y-4=\frac{3}{\sqrt{5}}\\\\y=1.34+4\\\\y=5.34\\\\x=2(5.34-4)\\\\x=2(0.34)\\\\x=2.68

At intersection

x=2.68

y=5.34

This point of intersection can be checked in graph attached below

3 0
3 years ago
F(x) =x^2+4x find f( -7) ​
Yuliya22 [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
Please please help me!!!
krok68 [10]

Answer:

obtuse isosceles

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3 years ago
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Answer:

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Step-by-step explanation:

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