Kevin has a rectangular
swimming pools that is 12
feet by 16 feet. He wants
to put a rope diagonally
across the pool. How long
does the rope need to
be?

Answers

Answer 1

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, [tex]a^2+b^2=c^2[/tex], where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

[tex]12^2+16^2=c^2[/tex]

Which is then

[tex]144+256=c^2[/tex]

[tex]c^2=400[/tex]

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

Answer 2

Answer:

20 feet

Step-by-step explanation:

Use Pythagoras's theorem.

[tex]A^{2}+B^{2} =C^{2} \\12^{2} +16^{2}= C^{2} \\400 = C^{2} \\\sqrt{400}= \sqrt{C^{2}\\\\[/tex]

20 = C


Related Questions

Hai came someone help I too lazy to do it...

Answers

Answer: 4 Cups

I think in order to solve this, you would need to add up the fractions that they used. So it would be,

[tex]\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}[/tex]   Transform the Expressions

[tex]\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}[/tex]    Calculate the sum

[tex]\frac{2}{4} +\frac{28}{8}[/tex]    Reduce

[tex]\frac{1}{2}+\frac{7}{2}[/tex]   Transform the Expression

[tex]\frac{1+7}{2}[/tex]   Calculate

[tex]\frac{8}{2}[/tex]  Reduce the Fraction

[tex]4[/tex]

Please mark brainliest if this helped you :)

find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35

Answers

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up

What is the correct answer for both ? ​

Answers

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer of 19 is A by using the a^2 - b^2 = ( a - b) ( a + b) so this will be (r-1 )( r+1) because we have r^2 so we have to factorize it


Answer of 20 is B by following the same steps

- 2 (k+ 3) > - 2k - 7

Answers

Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.

Answers

s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.

Answers

Answer:

I think the is 18-10s

Step-by-step explanation:

hope that helps

What is the value of x? Please provide an explanation, thanks!

Answers

Answer:

x=97/5

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

x=97/5

Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?

Answers

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

Can someone please actually help me with my math assignments

Answers

what are the assignments?

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.

What is the probability that both will be girls?

Answers

Answer:

5/24 or 20.8%

Step-by-step explanation:

 

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

 

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

 

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

help plzzzzzz it should be easy

Answers

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

What is the answer to this question because I can’t understand it

Answers

Answer:

you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!

Answer:

(x-11,y-12)

Step-by-step explanation:

Which of the following values are solutions to the inequality

Answers

i used socratic for that one

Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
B. 8
C. 4
D. -4

Answers

The answer is twelve u can sub in 2 for x

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

2u - 6u =

( worth 10 points)

Answers

answer:
2u-6u = -4u

Good luck!!

if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?

Answers

3 rows. Sorry if I’m wrong

You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240

Answers

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81

Answers

Answer:

The first five terms are 6, 11, 21, 41, 81 ⇒ D

Step-by-step explanation:

∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2

∴ The first term of the sequence is 6

∴ The value of n represents the position of the term

∵ n = 2

∴ a (n - 1) = a(2 - 1) = a1

∵ a1 = 6

→ Substitute a1 by 6

∴ a(2) = 2(6) - 1 = 12 - 1

a(2) = 11

∵ n = 3

∴ a (n - 1) = a(3 - 1) = a2

∵ a2 = 11

→ Substitute a2 by 11

∴ a(3) = 2(11) - 1 = 22 - 1

a(3) = 21

∵ n = 4

∴ a (n - 1) = a(4 - 1) = a3

∵ a3 = 21

→ Substitute a3 by 21

∴ a(4) = 2(21) - 1 = 42 - 1

a(4) = 41

∵ n = 5

∴ a (n - 1) = a(5 - 1) = a4

∵ a4 = 41

→ Substitute a4 by 41

∴ a(5) = 2(41) - 1 = 82 - 1

a(5) = 81

∴ The first five terms are 6, 11, 21, 41, 81

Raise to the power:
[tex](-3y)^{4}[/tex]

Answers

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[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]

[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]

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answer: 81y^4


explanation: you raise each term to the 4th power

for the first term “3” 3•3•3•3 = 81
for the second term “y” y^4

I WILL MARK AS BRAINLIEST!!!!

Answers

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

As the x values increase, the y values decrease

Answers

Answer:

1. That means as the X value decreases the y value increase

2. That means it's a negative Line.

3. The slope is negative

Step-by-step explanation:

Need help ASAP!! Tysm will mark brainliest

Answers

Answer:

about 30 then you will still fall short of that mark

HOPE IT HELP I AM NOT WANTING TO BE INCORRECT

Step-by-step explanation:

this is idiotic sense all the 3's will fall short

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

10 x what equals 66??

Answers

Answer: 6.6
You can divide 66 by 10 to get the answer. To do it quickly, just move the decimal point in 66 to the left one spot

Answer:

6.6

Step-by-step explanation:

10x(x)=66

x=66/10

x=6.6

if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?

Answers

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

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