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ollegr [7]
3 years ago
5

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is rectangle, 15 feet long and 8 feet wide. He ne

eds to lay a piece of pipe that will 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 pipe?
Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

Answer:

17 feet long

Step-by-step explanation:


USPshnik [31]3 years ago
7 0
To find missing side lengths in right triangles we use Pythagoras' Theorem which is
a%5E2%2Bb%5E2=c%5E2
where a and b are the lengths of the short sides of the triangle and c is the length of the longest side of the triangle, (this is called the hypotenuse)
So a=8 and b=15. Putting those numbers into the equation gives
8%5E2%2B15%5E2=c%5E2


working out the numbers gives
64%2B225=c%5E2 i.e. c%5E2=289
because we need to find what c is, we need to take the square root of 289
c=sqrt%28289%29
Therefore c = 17.
the pipe needs to be 17 ft long.
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(0,-29) x = 0, y = -29

Step-by-step explanation:

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3 years ago
an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there
STatiana [176]

Answer:

It'll take approximately 9.1 minutes

Step-by-step explanation:

The decay of this element can be modeled by the following expression:

m(t) = 540*(1 - 0.179)^t

Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.

90 = 540*(0.821)^t

(0.821)^t = 90 / 540

(0.821)^t = 1/6

ln(0.821^t) = ln(1/6)

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3 years ago
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Joan wrote a linear function.
12345 [234]

Answer:

A: true

B: true

C: false

D: true

E: true

Step-by-step explanation:

A: always true, m is the slope, and b is the y-intercept (starting value)

B: always true, m is always constant within the equation

C: false, initial value can be 0, e.g. in the equation y=5x, the initial value is 0

D: always true, being a line is part of the definition of linear

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The price of a notebook was $3.65 yesterday. Today the price fell to $3.40. Find the percentage decrease.
Levart [38]

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% decrease

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4 years ago
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