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3 years ago

20 POINTS

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

If 1 gallon = 16 cups, then 4 gallons = 64 cups. (16 x 4)

So if there are 4 gallons of water, then there are 64 cups. If 1 cup of water evaporates a minute then it will take 64 minutes for all the water to be gone.

Answer: 64 minutes

Answer: An hour and 4 minutes

Step-by-step explanation:

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Please help me.

BARSIC [14]

Answer:

A.) The greatest possible distance between any of the stakes is 53 feet.

B.) A triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.

Step-by-step explanation:

Given - Fiona wants to rope off a triangular region in her yard for a vegetable garden. She has 90 feet of rope to use, she wants the distance between each stake to be an integer, and the distance between two of the stakes must be 36 feet.

To find - A. What is the greatest possible distance between any of the stakes?

B. If she wants to create a right triangular region and use all of the 90 feet of rope, what would be the lengths of the sides of the region?

Solution -

A.)

Let us assume that,

Length of side 1 = x

Length of side 2 = y

Length of side 3 = z

Now,

Given that,

She has 90 feet of rope to use

⇒x + y + z = 90

And

The distance between two of the stakes must be 36 feet.

So, Let z = 36.

∴ we get

x + y + 36 = 90

⇒x + y = 90 - 36

⇒x + y = 54

Now,

Let x be as large as possible.

i.e. To make x to be large, y has to be as small as possible.

It happens when y = 1.

( We can not take y = 0, or else a triangle won't form)

∴ we get

y = 1

⇒x + 1 = 54

⇒x = 54 - 1

⇒x = 53

∴ we get

The greatest possible distance between any of the stakes is 53 feet.

B.)

We know that,

(5,12,13) is a Pythagorean triple.

Because 5² + 12² = 13²

So,

As, we have a Pythagorean triple,

This means a triangle with sides 5, 12, 13 is a right triangle.

Now,

If a triangle has sides 5, 12, 13,

⇒ The perimeter becomes 5 + 12 + 13 = 30.

By Triple each side we get,

Length of sides 15, 36, 39.

The perimeter i= 15 + 36 + 39 = 90

Also,

We can see that,

15² + 36² = 39².

This means we have a right triangle and (15, 36, 39) is another Pythagorean triple.

Because any scaled version of a Pythagorean triple, is also a Pythagorean triple.

∴ we get

A triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.

6 0

3 years ago

The two sides of a triangle have lengths 4 and 10. The third side of the triangle can be?

spin [16.1K]

Answer:

10.77

Step-by-step explanation:

If you use the pythagorean theorem to find the hypotenuse, you should get 10.77

4 0

3 years ago

PLEASE HELP Find the area of the rectangle, to the nearest hundredth, with a base of 5 inches and a height = 2.5 inches. Type a

il63 [147K]

Answer:

The area of a rectangle with a width of 5 inches, and a height of 2.5 inches, would have an area 12.5 inches!

Step-by-step explanation:

To find the area of a rectangle, simply multiply the width (W) by the length (L) to find the area (A) of the rectangle.

A = W x L

A = 5 inches x 2.5 inches

A = 12.5 inches

Hope this helps! :)

5 0

3 years ago

Find the equation of a line given the slope is 2 and Contains the point (0,0).

strojnjashka [21]

Answer:

y=2x

Step-by-step explanation:

y=mx+b

If it crosses through the point (0,0) it means that the y intercept (b) is 0.

m=slope

Not sure how to show you the graph but it is simply a diagonal line through (0,0) that will hit (1,2), (2,4), etc.

5 0

3 years ago

Read 2 more answers

Problem 7.43 A chemical plant superintendent orders a process readjustment (namely shutdown and setting change) whenever the pH

vaieri [72.5K]

Complete Question

Problem 7.43

A chemical plant superintendent orders a process readjustment (namely shutdown and setting change) whenever the pH of the final product falls below 6.92 or above 7.08. The sample pH is normally distributed with unknown mu and standard deviation 0.08. Determine the probability:

(a)

of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is operating as intended and $\mu$ = 7.0 probability

(b)

of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is slightly off target, namely the mean pH is $\mu$ = 7.02

Answer:

The value is $P(X < 6.92 or X > 7.08 ) = 0.26431$