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iren2701 [21]
3 years ago
12

A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is

950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0

Answer:

Step-by-step explanation:

<u>Pool:</u>

Width = x ft

Length = (x+6) ft

<u>Pool along with walkway:</u>

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

belka [17]3 years ago
3 0

Answer:

29.4 length and 21.4 width.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total

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Please help me ASAP?!!
Blababa [14]

Answer:

(0,-5) and (-4,3)

Step-by-step explanation:

The given equations are

\left \{ {{x^2+y^2=25} \atop {2x+y=-5}} \right.

Make y the subject in the second equation;

y=-2x-5

Substitute into the first equation;

x^2+(-2x-5)^2=25

Expand:

x^2+4x^2+20x+25=25

x^2+4x^2+20x+25-25=0

5x^2+20x=0

5x(x+4)=0

\Rightarrow x=0,x=-4

When x=0,

y=-2(0)-5=-5

This gives; (0,-5)

When x=-4

y=-2(-4)-5=3

This gives (-4,3)

7 0
3 years ago
Read 2 more answers
6. If the net investment function is given by
Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

  • (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

  • (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

I(t) = 100 \cdot e^{0.1 \cdot t}

(a) The capital formation is given as follows;

\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

Which gives;

\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

\displaystyle \mathbf{1000 \cdot  e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000

\displaystyle e^{0.1 \cdot t}} = 101

\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
2 years ago
Given:-x-4=9 prove:c=-13
serious [3.7K]

Answer:

a. addition property of Equality

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What is 3852 divided by 16
Annette [7]
240.75, hope this helps!
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A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly
lianna [129]
322kmh x1000= 322,000 meters per hour
That is the relationship between km and m
Because we are turning bigger units into smaller we the number will increase.

example   2 wks = 14 days  two became 14 - it increased
7 0
3 years ago
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