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Inessa05 [86]
3 years ago
7

Joelle is laying pipe for a sprinkler system before he plants his lawn. the lawn is a rectangle, 15 feet long and 8 feet wide. h

e needs to lay a piece of pipe that will be run along the diagonal of the lawn. it will divide the area of the lawn into two right triangles.what will be the length of the diagonal piece of pipe?
Mathematics
1 answer:
SashulF [63]3 years ago
6 0
\sqrt{15^2+8^2}
\sqrt{225+64}
\sqrt{289}
17 feet

Also: 8-15-17 is a <span>Pythagorean triple, so you can just use that.</span>
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Convert 4.2% to an<br> equivalent decimal.
Natalija [7]

Answer:

0.042

Step-by-step explanation:

divide by 100

Remember:

To convert a Decimal to Percent, you multiply the decimal by 100

To convert a Percent to a Decimal, you divide by 100

5 0
3 years ago
Read 2 more answers
A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

5 0
4 years ago
Hopefully you can see the question! If not, jut comment down below this and I'll put the question in the comments :) Thanks for
OlgaM077 [116]

Answer:

2 minutes

Step-by-step explanation:

You can make an equation to model the question.

y=60 initial starting value,

y=(750-720)x, plug in 60 for y,

60=30x, x = 2 minutes

4 0
3 years ago
In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us
nalin [4]

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

                                                 = \sqrt{\frac{p(1-p)}{n} }

Given standard error of proportion = 2% =0.02

<u>Step 2</u>:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E     (since sampling error of proportion = \sqrt{\frac{pq}{n} }

(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

<u>conclusion</u>:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

4 0
3 years ago
Make P the subject.<br> Q = 3P + 2
Ne4ueva [31]

Answer:

P = \frac{Q-2}{3}

Step-by-step explanation:

Q = 3P + 2 ( subtract 2 from both sides )

Q - 2 = 3P ( isolate P by dividing both sides by 3 )

\frac{Q-2}{3} = P

4 0
2 years ago
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