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Oxana [17]
3 years ago
7

Lia has already baked 2 cakes, and she can bake 1 cake with each additional stick of butter she buys. How many additional sticks

of butter does Lia need in order to bake a total of 47 cakes?
Mathematics
1 answer:
MariettaO [177]3 years ago
4 0
She needs 45 more sticks of butter. This is because she already has two cakes, and 47-2=45. She can bake one more cake with each stick of butter, which means the answer is indeed 45. 
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Graph (-4,5), (2,3), (-3.0). (-4,-5). (-5. 2). and (-5.3) and connect the points to form a polygon. How many sides does the poly
Keith_Richards [23]

Answer:

6.

Step-by-step explanation:

Source: Desmos.

When the points are plotted, the shape is a polygon. The polygon has 6 sides.

Picture represents the polygon shape, and its sides

8 0
2 years ago
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
2 years ago
Help I don’t get this one question
erastova [34]
The answer would be A. -18x^7

hope this helps:)
5 0
2 years ago
Read 2 more answers
What is the volume of the rectangular prism?
Bingel [31]
The answer is B. 60 cubic inches
5 x 6 x 2 = 60
8 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see
Rom4ik [11]
<h2>Answer:</h2>

-1/3x

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • x1 = -3
  • x2 = 0
  • y1 = 1
  • y2 = 0

<h3>Asked :</h3>
  • Correct line equation

<h3>Solution :</h3>

We can find the straight line equation using this formula,

\frac{y-y1}{y2-y1} = \frac{x-x1}{x2-x1}

Insert all we know inside the formula,

\frac{y-1}{0-1} = \frac{x-(-3)}{0-(-3)}\\\frac{y-1}{-1} = \frac{x +3}{3}\\

Use cross multiplication,

3(y - 1) = -1(x + 3)\

3y - 3 = -x - 3

3y = -x - 3 + 3

3y = -x

y = -1/3x

<h3>Conclusion :</h3>

The correct equation is y = -1/3x

6 0
2 years ago
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