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3 years ago

A water cooler holds 25 liters of sports drink. Approximately how many gallons is this?

2 answers:

7 0

One liter is equivalent to 0.264172 gallons. So, if we multiple our gallons by 25 liters we get 6.6043... In conclusion there are 6.6043 gallons in 25 liters.

velikii [3]3 years ago

5 0

6.6043 gallons used converter

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25 POINTS AVAILABLE

myrzilka [38]

Answer:

$\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

1. We have the equation:

$(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2$

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2. We have the center (-4, 3) and the radius r = 6. Substitute:

$(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36$

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

7 0

3 years ago

The two-column proof below describes the statement and reason for proving that corresponding angles are congruent.

noname [10]

Step 6 wants us to show two angles which are also two interior angles that are located on the same side.

Interior angles are angles that are INSIDE the parallel lines.

On the diagram given, there are two pairs of interior angles that are on the same side:

Angle VQT and angle ZRS
Angle UQT and angle WRS

Two interior angles on the same sides add up to 180°

The missing statement that would fit statement in Step 6 is:
m∠VQT + m∠ZRS = 180°

Answer: Second option

3 0

3 years ago

Read 2 more answers

A 4 Find the value of x. B 6 X+1 D x = [?] E X C

mezya [45]

I think it’s X=1 for answer

3 0

2 years ago

What is the answer to this question?

jarptica [38.1K]

Answer:

(check the image below)

Step-by-step explanation:

Use Algebra Calculator: Math Papa. Really super helpful! I use it all the time for my math homework and it is literally never wrong! I hope this helps! Have a great day!!