A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool.

Answers

Answer 1

Answer:

56 feet.

Step-by-step explanation:

The formula for finding the length of a rectangle, given the diagonal and the width is [tex]\sqrt{d^2 -{w^{2}[/tex]. So, [tex]\sqrt{4900 - 1764[/tex]. If you put this thing in the calculator you get 56.


Related Questions

Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..

Answers

So basically its arithmetic sequence cause u keep on adding 3
Rule: an=a1+(n-1)d
12+(20-1)(3)
Answer : 69

4. Which set of ordered pairs represents a function?

(1) {(0,4), (2,4),(2,5)}
(2){(6,0), (5,0),(4,0)}
(3) {(4,1),(6,2), (6,3), (5,0)}
(4) {(0,4),(1,4), (0,5),(1,5)}​

Answers

Answer: (2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

Step-by-step explanation:

A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.

(1) {(0,4), (2,4),(2,5)}

here 2 is associated with 2 different values of second component.

Thus it is not a function.

(2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

(3)  {(4,1),(6,2), (6,3), (5,0)}

It is not a function as 6 is associated with 2 different values of second component.

(4) {(0,4),(1,4), (0,5),(1,5)}​

It is not a function as 0 and 1 are associated with 2 different values of second component.

John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1

Answers

Answer:

j = 23 years-old s = 92 years old.

Step-by-step explanation:

j = s - 70

s = 4j

j = 4j - 70

-3j = -70

j = 70/3

j = 23

s = 92

Four friends share 3 sheets of construction paper equally.

Answers

Answer is 1/3





Hope it help!!

What's is the value of the expression 4v+r² when v equals 4 and r equals 3 ​

Answers

Answer:

25

Step-by-step explanation:

4(4) + 3^2 ---> plug in 4 for v and 3 for r into the expression

16 + 9 = 25

hope this helps!

i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3

Answers

Answer:

LEavel ^ 9-8=1

Step-by-step explanation:

A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
TT.)
37.68 in 3
150.72 in. 3
56.52 in 3
113.04 in. 3

Answers

Answer:

37.68 Inches cubed (A)

Step-by-step explanation:

The formula for a cylinder is:

πr^2(h)

First, let's find the radius, which is:

4/2 = 2

Now, we can plug in the values:

3.14(2)^2(3)

Do exponents first:

3.14(4)(3)

Multiply left to right:

12.56(3)

Again:

37.68 Inches

So, the answer is:

37.68 Inches cubed (Or A)

Hope this helps!

"Lily wants to buy a tablet that costs $120. Her dad said that
he would pay 30% of the cost. How much money will her
father contribute towards the tablet?"

Answers

Answer:

36$

Step-by-step explanation:

120×0.3 =36$

or

120=100%

1.2=1% /×30

36=30%

$30 will be contributed by her father

Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.

Answers

Step-by-step explanation:

I think A is the answer to your question


The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.

Answers

Rate of change is Y= -.5x +5
If the slope (-.5) needed to be a decimal it would be -1/2
The y value is 5

Can someone help with this question plz

Answers

Answer:

A: 2x + 13 = 59

Step-by-step explanation:

1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:

12+2x+1=59

Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59

Roman used 10% off coupon to buy a toaster that was originally priced at $18.48. Is the final amount cheaper or more expensive than the original price?

Correct answer gets Brainliest! Have an amazing day!! :)

Answers

Cheaper then the original amount

HELP PLZZZ HELP I’ll give u BRAINLY

Answers

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

Can someone help me pls

Answers

Answer:

16.01

Step-by-step explanation:

sin 88° = 16/x

0.9994x = 16

x = 16.01

URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)

Answers

Answer:

Step-by-step explanation:

I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.

For which function and interval can the extreme value theorem be applied?
O f(x) =
Х
(x-6)
over the interval [3, 5)
-5
f(x) =
2(x-7)3
over the interval (6,8)
f(x) = 4 tan(Ttx) over the interval [0, 1]
f(x) = 3e' + 1 over the interval (1,3)

Answers

Answer:

A

Step-by-step explanation:

A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.

The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.

To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.

Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

CAN SOMEONE HELP ME and please tell me the right answer this test means a lot to me :(

Answers

120 I think bc 6x4x10=240 divided by 2=120
120 is your answer for this!

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

3. y = -3x + 2

4. y = 3x - 5

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b.

3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).

Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1

m = -3

Find the y-intercept (b):

The y-intercept (b) = 2 (this is where the line intercepts the y-axis)

b = 2

✅To write the equation, substitute m = -3 and b = 2 into y = mx + b

Thus:

y = -3x + 2

4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).

Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3

m = 3

Find the y-intercept (b):

The y-intercept (b) = -5 (this is where the line intercepts the y-axis)

b = -5

✅To write the equation, substitute m = 3 and b = -5 into y = mx + b

Thus:

y = 3x + (-5)

y = 3x - 5

In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.

Answers

Answer:

B she will score over 8 points 4 times

Step-by-step explanation:

keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?​

Answers

Answer:

7920

Step-by-step explanation:

Calculator

Which graph represents an exponential function?

Answers

An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.

What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm

Answers

Answer:

75.36

Step-by-step explanation:

24 cm x 3.14 = 75.36

75.36 :))))))))))))))))))))))))))))))))))

5 x 100 + 4 x 10 + 6 x 1 + 2 x ( 1/10) + 8 x ( 1/1000) =?

Answers

Answer:

68276/125

Step-by-step explanation:

500+40+6+1/5+1/125

546+26/125

68276/125

Answer:

546.208

Step-by-step explanation:

5

1

0

0

+

4

1

0

+

6

1

+

2

(

1

1

0

)

+

8

(

1

1

0

0

0

)

{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})

5⋅100+4⋅10+6⋅1+2x(101​)+8x(10001​)

5

0

0

+

4

1

0

+

6

1

+

2

(

1

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)

+

8

(

1

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05

0

0

+

4

1

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+

6

1

+

2

(

1

1

0

)

+

8

(

1

1

0

0

0

)

500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})

500+4⋅10+6⋅1+2x(101​)+8x(10001​)

5

0

0

+

4

0

+

6

1

+

2

(

1

1

0

)

+

8

(

1

1

0

0

05

0

0

+

4

0

+

6

1

+

2

(

1

1

0

)

+

8

(

1

1

0

0

0

)

500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})

500+40+6⋅1+2x(101​)+8x(10001​)

5

0

0

+

4

0

+

6

+

2

(

1

1

0

)

+

8

(

1

1

0

0

0

)

0

0

+

4

0

+

6

+

2

1

1

0

+

8

(

1

1

0

0

0

)

500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})

500+40+6+2x⋅101​+8x(10001​)

5

0

0

+

4

0

+

6

+

1

5

+

8

(

1

1

0

0

0

0

0

+

4

0

+

6

+

1

5

+

8

(

1

1

0

0

0

)

500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})

500+40+6+51​x+8x(10001​)

5

0

0

+

4

0

+

6

+

1

5

+

8

(

1

1

0

0

0

)

)

0

0

+

4

0

+

6

+

1

5

+

8

(

1

1

0

0

0

)

500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})

500+40+6+51x​+8x(10001​)

5

0

0

+

4

0

+

6

+

5

+

8

(

1

1

0

0

05

0

0

+

4

0

+

6

+

5

+

8

1

1

0

0

0

500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}

500+40+6+5x​+8x⋅10001​

5

0

0

+

4

0

+

6

+

5

+

1

1

2

5

5

0

0

+

4

0

+

6

+

5

+

1

1

2

5

500+40+6+\frac{x}{5}+\frac{1}{125}x

500+40+6+5x​+1251​x

5

0

0

+

4

0

+

6

+

5

+

1

1

2

5

500+40+6+\frac{x}{5}+\frac{1x}{125}

500+40+6+5x​+1251x​

9

Multiply by 1

5

0

0

+

4

0

+

6

+

5

+

1

1

2

5

500+40+6+\frac{x}{5}+\frac{1x}{125}

500+40+6+5x​+1251x​

5

0

0

+

4

0

+

6

+

5

+

1

2

55

0

0

+

4

0

+

6

+

5

+

1

2

5

{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}

500+40+6+5x​+125x​

5

4

6

+

5

+

1

2

5

{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}

546+5x​+125x​

Show less

Solution

5

4

6

+

5

+

1

2

5

An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

If the angle is x, its supplement is 180°-x.

x = (180°-x) - 78°

x = 51°

supplement = 180°-x = 129°

The angles are 51° and 129°

HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​​​

Answers

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Hi here is the problem

Answers

Answer:

Look at the image.

Step-by-step explanation:

24 ÷ 4 = 6

6 × 9 = 54

24 ÷ 3 = 8

8 × 5 = 40

Calculate the circumference. show me process​

Answers

Answer:

Radius is 13

13 x 3.14 x 2 = 81.64

Formula of circumference:

2 x pie(3.14 or 22/7) x r (radius

What are some random numbers that add up to 50?

Answers

Answer:

25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5

Step-by-step explanation:

In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158

Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?

Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Answers

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

What is the Probability of flipping a coin and landing on heads (unlikely,likely,Equally likely of certain,or impossible)

Answers

Answer:

Equally likely

Step-by-step explanation:

A coin has two sides, heads and tails, so if you flip it, you have a 50% chance to get heads and a 50% chance to get tails. 50% - 50% is an equal ratio, therefore having an equal chance of likelyhood to get heads.

Other Questions
how do you say korrey in japanese Which are characteristics of a prokaryotic cell? A. Single cellular, has nucleus.B. Multicellular, has nucleus C. Single cellular, has no nucleus.D. Multicellular, has no nucleus plz help i will give brainliest plzzz Original price New price Calculation Converted to fraction over 100 % change$20$1620 - 1620=4204 2020 100$20$15 Movers are filling the truck below with cube shaped boxes. If each box has edge lengths of 12 yard, how many total boxes will fit in the truck? L: 3 1/2 yds W: 5 yds H: 2 1/2 yds HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE 10 POINTS! THANKS :) xoxo What will be the 7th term in the sequenceEnter your answer as a fraction. 1. Name four types of non-verbal communication What is the sum? Thank you! If your parents are the P generation, what generation are you? what is the order in which types of elements are found as you move from left to right across a period? metals, nonmetals, and metalloids? Maribel pidio 100 refrescos a una tienda,los de naranja se los vendieron a $35.00 y los de cola a $38.00 si pago en total $3620 cuantos refrescos de naranja pideo Please help spanish midterm if the diamter of the sun is 16cm, what is the area If making a protein was like making a building, then the DNA molecule is like the blueprints and the RNA molecules are like the construction workersTrueFalse Over the centuries cockroaches have become smaller and flatter, making it easier for them to hide and find their way into home cabinets and pantries. What does this demonstrate?Geographic isolation plays a role in speciationfremThe environment is important in selecting adaptationsArtificial selection can result in the development of resistant speciesSelective breeding can result in passing favorable traits to the next generation Amanda has 227 worth of bills in her purse. she has 6 more $5 dollar bills than $10 bills. The number of $1 bills is three fewer than 25 times the number of $10 dollar bills. How many of each does amanda have? I need help with these question! Please do step by step :) Help A B C D Helppppppp How many square feet of wallpaper are required to cover the wall surrounding the window?