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2 years ago

For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.

Mathematics

1 answer:

loris [4]2 years ago

8 0

Answer:

42 canteens

Step-by-step explanation:

1 gal = 3 canteens

14*3=42

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Step2247 [10]

Answer:

$A = 297\pi$

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

$A = \pi r(r + \sqrt{h^2+r^2})$

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

$r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm$

To calculate the height of the cone, we must use the Pythagorean Theorem:

$C^2 = A^2 + B^2$

We can treat the side length as the hypotenuse $C$ , the radius as the base $A$ , and solve for height $B$ . Set the expression up like this:

$C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25$

Now we can plug into our original formula:

$A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi$

5 0

2 years ago

Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought

dolphi86 [110]

Answer:

30 is the cost of clothes Kyle bought.

Step-by-step explanation:

Given: Kyle spend 1/5 of his money on clothing.

Remaining money is 120.

Lets assume the total money Kyle had be "x".

∴ Money spent on clothes = $\frac{1}{5}\times x= \frac{x}{5}$

Now, putting up value in the equation to find the total amount of money.

We know, money remaining is 120

$x-\frac{x}{5} = 120$

Taking LCD subtract the fraction.

⇒ $\frac{(x\times 5)- x\times 1}{5} = 120$

⇒ $\frac{5x-x}{5} = 120$

⇒ $\frac{4x}{5} = 120$

Multiplying 5 both side

⇒ $4x= 120\times 5$

dividing 4 on both side.

∴ $x= \frac{120\times 5}{4}$

∴ x= 150

Kyle has total 150 money to spend.

Kyle spent $\frac{1}{5}$ of his total money on clothing.

⇒ cost of clothes kyle bought= $\frac{1}{5} \times 150= 30$

Hence, Kyle spent 30, which was the cost of clothes kyle bought.

6 0

3 years ago

Consider the radical equation √c+22 = c + 2.

dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

7 0

3 years ago

PLEASE HELP!!!!Which of the following options is an equivalent function to f(x)=3(2)3x

vampirchik [111]

Your answer willl be f(x) = 24x hope this helps

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3 years ago

Is this vertical or alternate exterior

Usimov [2.4K]

Vertical cause if slants

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2 years ago

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