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lys-0071 [83]
3 years ago
15

How many cups are in 2 gallons

Mathematics
2 answers:
Korolek [52]3 years ago
8 0
There are about 32 cups in a gallon.
Andrei [34K]3 years ago
5 0
16 cups in 2 gallons i think im not sure though
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Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

8 0
3 years ago
2x + 3 + 4x + 8 = 3x - 10
vodomira [7]

\text {Hello! Let's solve this Equation!}

\text {Your First Step is to Simplify the Equation:}

\text {(2x+4x)+(8+3)}

\text {6x+11=3x-10}

\text {The Next Step is to Subtract 3x:}

\text {6x+11-3x=3x-10-3x}\\\text {3x+11=-10}

\text {Next Step is to Subtract 11:}

\text {Q: Why Subtract 11?}

\text {A: So they cancel out. We cross them out once we subtract.}

\text {3x+11-11=-10-11}\\\text {3x=-21}

\text {The Final Step is to Divide 3:}

\text {3x/3=-21/3}

\text {Your Answer will be}

\fbox {x=-7}

\text {Best of Luck!}

\text {-LimitedX}

8 0
3 years ago
Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean
Vera_Pavlovna [14]

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

2x - y = -1

y =5x - 5

Required

Verify that: (x,y) = (2,5) is a solution

We have:

2x - y = -1

Substitute: (x,y) = (2,5)

2 * 2 - 5 = -1

Evaluate all products

4 - 5 = -1

Subtract:

-1 = -1

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

Also: y =5x - 5

Substitute: (x,y) = (2,5)

5 = 5 * 2 - 5

Evaluate all products

5 = 10 - 5

Subtract:

5 = 5

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

<em></em>

Because the given point is a solution to both equations, then they are simultaneous equation

7 0
3 years ago
How do you simplify (4 – 5) – (13 – 18 + 2) ?
denpristay [2]

Answer:

2

Step-by-step explanation:

4-5= -1

13-18+2= (-5+2)= -3

-1-(-3)=2

Don't forget your order of operations

P (parenthesis)

E (exponents)

MD (multiplication/division)

AS (addition/subtraction)

6 0
3 years ago
Read 2 more answers
Barfoundins. The graph shows the elements what fraction of Earth's crust is Elements in Earth'scrusOther17%AluminumSo 89%OxygenS
atroni [7]
The pie chart is a percent pie chart.
Silicon is 28% of the earth crust = 28/100 = 7/25.
4 0
3 years ago
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