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3 years ago

Find an angle between 0 and 2π that is coterminal with -3π /10

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

17π/10

Step-by-step explanation:

To find a co-terminal angle in a specific range, add or subtract multiples of 2π until you have an angle in the desired range. Here, you can add 2π.

-3π/10 +20π/10 = 17π/10 . . . . angle co-terminal with -3π/10

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Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh

inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0

3 years ago

There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items

Sav [38]

The greatest number of packages of baked items that can be sold is 10

Solution:

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

Greatest common factor of 50 and 160:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

Each package will contain:

Given that there 50 cupcakes and 160 cookies

Number of cupcakes in 1 package:

$\rightarrow \frac{50}{10} = 5$

Number of cookies in 1 package:

$\rightarrow \frac{160}{10} = 16$

So each package has the same number of cupcakes and same number of cookies with none left over

7 0

3 years ago

Charlize and Camille solved the equation 4x – 2y = 8 for y. Their work is shown

Aloiza [94]

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 4x - 2y = 8 solve for y

First, pass 4x to the right side -2y = -4x + 8

Pass -2 to the right side y = -4/-2 x + 8 /-2

Simplify y = 2x -4 or y = -4 + 2x

I can not see clearly the work of Charlize and Camille, but the one that has the answer shown above is correct.

6 0

3 years ago

I want you to pick your favorite basket ball player or team(from any year). Look up their last 11 games(for players who no longe

Nastasia [14]

Step-by-step explanation:

right now but I have no idea how much that would have to be in the same place as last week and he said it would be a lot of people are coming to see you and the girls are doing well and

8 0

3 years ago

Read 2 more answers

Perimeter/area (triangles)

Rzqust [24]

Answer:

12 ft²

50 ft²

Step-by-step explanation:

∆ABD = ∆CBD

Perimeter of ∆ABD = 12 ft²

Perimeter of triangle ∆CBD

If ∆ABD = ∆CBD

Then, Perimeter of ∆CBD = 12 ft²

∆ABC = ∆CDA

Area of ∆ABC = 25 ft²

Then the area of rectangle ABCD = Area of ∆ABC + Area of ∆CDA

= 25 ft² + 25 ft²

= 50 ft²

6 0

3 years ago