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Alex Ar [27]
3 years ago
14

5. The rectangular pool has an area of 520 square feet. The length of 3

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

z*(z - 3) = 520

Step-by-step explanation:

Use the following representations:

Width:  W  

Length:  L = W + 3, or W = L - 3

Area = L*W = L*(L - 3) = 520

Equation b) is the correct one:  z*(z - 3) = 520

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Which graph shows a system of equations with no solutions?
podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

7x - 2y = 16\\21x + 6y =24

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

substituting the following x in 2nd equation (21x + 6y = 24) We get

21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2

Put y= -2 in x equation

x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71

Comparing these (x,y) values we can understand that they never meet at a point

4 0
3 years ago
In the given triangles below, ∆PQR ~ ∆STR. Find the missing length.
krek1111 [17]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
(1+cos2x)/(1-cos2x) = cot^2x
sesenic [268]

We will turn the left side into the right side.

\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x

Use the identity:

\cos 2x = \cos^2 x - \sin^2 x

\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x

\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x

Now use the identity

\sin^2 x + \cos^2 x = 1 solved for sin^2 x and for cos^2 x.

\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x

\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x

\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x

\cot^2 x = \cot^2 x


8 0
3 years ago
Can anyone help me out
alexandr402 [8]
Maximum profit due to the feasibility graph....we take where the two lines cross...(6,5). These figures are substituted into the equation and the result is the max profit...

p = 3x + 2y
p = 3(6) + 2(5)
p = 18 + 10
p = 28
8 0
3 years ago
(2.0 x 104)(3.02 x 109) simplified form​
kykrilka [37]

Answer:

68469.44

Multiplication is commutative so can be multiplied anyway

(2.0× 109)(3.02×104)

2.0 can be written as ( 20÷ 10) and 3.02 can be written as (302÷ 100)

(2× 109){(3.02÷ 100)× 104]

(218)(7852÷ 25)

68469.44

5 0
3 years ago
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