MATHEMATICS HIGH SCHOOL

Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?

Answers

Answer 1
Answer:

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

A=\pi r^2

r is radius of circle

r=\sqrt{(A)/(\pi)} \n\nr=\sqrt{(113.04)/(3.14)} \n\nr=6\ \text{inch}

The circumference of circular shaped object is given by :

C=2\pi r\n\nC=2* 3.14* 6\n\nC=37.68\ \text{inch}

So, the circumference of the cookie is 37.68 inches.

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What are the real and imaginary parts of the complex number?

9+7i

Answers

Answer:

9 is the real part and 7i is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi where a is the real part and bi is the imaginary part

9 = real part

7i is the imaginary part

Triangle RST is the pre-image of triangle UVW with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2. a.) Set up an equation on how to solve for the missing area using the Area Ratios for Similar Figures.

b.) What is the area of triangle UVW?

Answers

A. (Area of triangle UVW)/(Area of triangle RST)=3^2=9
B. Substitute Area of triangle RST=9 into the equation above.

(Area of triangle UVW)/9=9
Area of triangle UVW =9x9=81 cm^2

Apply distributive property to factor out the greatest common factor in 8x - 20.

Answers

Answer:

There are 3 common factors of 8 and 20, that are 1, 2, and 4. Therefore, the greatest common factor of 8 and 20 is 4.

What two numbers at to 1 and multiply to 12

Answers

What are you trying to say? It seems that the question is not making sense.
Two numbers that 
add to 1
multiply to 12

i wonder if it is -12 because
-3 + 4 = 1
-3 × 4 = -12

There cant be any other solutions, im assuming it should be -12

In order to solve the equation −3x + 6 = 5, the first step is to (1 point)add 6 to both sides
divide by 5 on both sides
subtract 6 from both sides
multiply by 5 on both sides

Answers

Answer:

Option (C) is correct.

To solve the given equation −3x + 6 = 5,the first step is to subtract 6 from both sides.

Step-by-step explanation:

Given : equation −3x + 6 = 5

We have to solve for  x in the equation −3x + 6 = 5.

Consider, the equation −3x + 6 = 5

First step:  Subtract 6 both side , we get

⇒ −3x + 6 - 6 = 5 - 6

⇒ −3x  = -1

Second step : Divide both side by -3 , we get,

x=(1)/(3)

Thus, option (C) is correct.

To solve the given equation −3x + 6 = 5,the first step is to subtract 6 from both sides
   −3x + 6 = 5  | -6   (first step is: "subtract 6 from both sides" )

-3x = 5-6
-3x = -1      |  /(-3)   (second step is: "divide by (-3) on both sides" )


\displaystyle \n x = (-1)/(-3) = \boxed{(1)/(3) }

. A recipe calls for 3 teaspoons of salt for every 5 cups of flour. If you wanted to make a larger batch with 15 cups of flour, how much salt would you need? A. 5 teaspoons B. 10 teaspoons C. 9 teaspoons D. 6 teaspoons

Answers

Given:
3 teaspoons of salt for every 5 cups of flour.

How much salt is needed for 15 cups of flour?

This is a proportion problem:
a/b = c/d where ad = bc

3/5 = x/15
3*15 = 5x
45 = 5x
45/5 = x
9 = x

C. 9 teaspoons of salt is needed for 15 cups of flour.

3/5 = 9/15
3*15 = 5*9
45 = 45
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