A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.

Answer:

The equation of the Parallel line to the given line is  5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is  ax+by+k=0

Given straight line  5x + y -4 =0

The equation of the Parallel line to the given line is  5x+y+k=0

This line passes through the point (1,2)

             5x+y+k=0

            5(1)+2+k=0

⇒              7+k=0

                   k =-7

Final answer:-

The equation of the Parallel line to the given line is  5x+y-7=0

Answer:

2,700 units

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

7-6=1

Answer:

1

Step-by-step explanation:

7-x

x=6

7-6=1

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

Answer:

D) 5/13

Step-by-step explanation:

Sin x = Opposite / Hypotenuse

Opposite side length = 5 cm

Hypotenuse length = 13 cm

Sin x = 5/13

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

Answer:

For ABC A= (-3,3) B= (0.2) and C= (-3,1)

For DFE D= (0,6) F= (2,6) and E= (2,3)

Step-by-step explanation:

I believe tha name of a sequence of transformation will be translation and the Reflection

Hope this Helped

Answer:

[tex]\\c=85mi\\[/tex]

Step-by-step explanation:

[tex]77mi^{2} +36mi^{2} =7,225mi\\\\7225mi=c^{2}[/tex]

[tex]\sqrt{7225} =85[/tex]

Answer:

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

Step-by-step explanation:

Let p1 be the sample of 1000 adults chosen in 2012 and

p2 be the sample of 1100 adults chosen in 2010

Part a:

The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:

H0: p1-p2= 0           against the claim      Ha: p1-p2≠0

Part b:

The sample proportion indicating that their financial security was more that fair in 2012 is

p1^= 410/1000= 0.41

In 2010 is:

p2^= 385/1100= 0.35

Part c:

p^c= 410+385/1000+1100= 0.3785

q^c= 1-p^c= 1-0.3785= 0.6124

The critical region is z > ±1.96

The test statistic is

z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)

z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)

z=  0.06 / 0.021036

z= 2.85

Conclusion

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

P- value :  0.00466

The result is significant( accept the null hypothesis) for  value less than 0.05

Part d:

                                                     2012                         2010

Sample                                       1000                           1100

Proportions                               0.41                             0.35

Standard Error               √0.41( 0.59)/1000        √0.35( 0.65)/1100

                                               = 0.0155                0.01438

Standard Error for the difference = √0.0155² + 0.01438² =0.0211

p1-p2 ± z* standard error for the difference

0.41-0.35 ± 1.96 *( 0.0211)

0.06 ± 0.041356

-0.018644,   0.101356

The 95 % confidence interval estimate is (-0.018644,   0.10135

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

Answer:

B. [tex] \sqrt{106} [/tex]

Step-by-step explanation:

Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-4, 3) = (x_1, y_1) [/tex]

[tex] (5, -2) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]

[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{81 + 25} [/tex]

[tex] d = \sqrt{106} [/tex]

Answer:b $41.60

Step-by-step explanation:

Answer:8•4 √4

Step-by-step explanation:

Answer:

the y intercept would be at (0,-6)

4. x= 40

plz mark my answer as brainlist plzzzz.

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Answer:

499-350

Step-by-step explanation:

455-350=?

I think it would be quadrant 2

Answer:

61.52

Step-by-step explanation:

5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59

Answer:

61.52

Step-by-step explanation:

Given the values, you can solve for the remaining sides.

a + c will equal the side on the right and b + d will equal the side at the top.

So 2(a+c) + 2(b+d) will give the perimeter.

2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52

Answer:

They are congruent by opposite exterior angles

RST is congruent to UVT

UV is congruent to SR

Answer:

185 is the answer

Step-by-step explanation:

your answer is 185

Answer:

Hello! :) have a good day!

5+3+8+9+10+50+100=185

Hello!

What do you need me to solve?

Answer:300

Step-by-step explanation:25 cents each quarter so the equation would be 12 times 25.

Answer: 300 cents

Step-by-step explanation: 12 quarters saved, 1 quarter = 25 cents, 12 x 25 = 300

Answer:

1. 32

2. 4.7

3. 3

Step-by-step explanation:

4*8=32

6.5-1.8= 4.7

18/6=3 or 18 divided by 6 = 3

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

From the given table, we need to determine which of the table is a linear table.

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Learn more on function here: https://brainly.com/question/3632175

Answer:

x = 3

Step-by-step explanation:

[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]

[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]

[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]

[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]

[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]

[tex] \therefore 10x+5=5\times 7 [/tex]

[tex] \therefore 10x+5=35 [/tex]

[tex] \therefore 10x=35-5 [/tex]

[tex] \therefore 10x=30 [/tex]

[tex] \therefore x=\frac{30}{10} [/tex]

[tex] \therefore x=3[/tex]

Answer:

x = 5.98

Explanation:

1. 4+(3.7−)=1.72

2. 4+(−+3.7)=1.72

3. 4−+3.7=1.72

4. 7.7−=1.72

5. −+7.7=1.72

6. −+7.7−7.7=1.72−7.7

7. −=−5.98

Then  simplify to x =5.98