Asked by Rico

The circle shown has a radius of 12 millimeters.



A circle with a radius of 12 millimeters.

Question
What is the circumference of the circle?
A. 6 mm
B. 12 mm
C. 24 mm
D. 36 mm
Answered by Rico
so what is the real correct answer?
Answered by Rico
Figure B is a scale image of Figure A.



Two figures. Both are triangles. Figure B is larger than Figure A. The base of Figure A is 8 centimeters. The base of Figure B is x centimeters.



The scale factor that maps Figure A onto Figure B is 2.

Question
What is the value of x? Enter the answer in the box.
Answered by Rico
Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.



Which option best describes the likelihood of Jennifer picking a green ball?
a. Picking a green ball is imposssible
b. picking a green ball is unlikely.
c. picking a green ball is neither unlikely nor likely
d. picking a green ball is likely,
e. picking a green ball is certain
Answered by Rico
explain
Answered by Rico
A scale drawing of a park is 30 inches long and 24 inches wide. On the drawing, 1 inch is equal to 250 feet.

Question
What are the actual length and width of the park? Enter the answer in each box.

The park is_____ feet long and____ feet wide.
Answered by Rico
i think your wrong
Answered by Rico
Which expression is equivalent to 2 left-parenthesis negative 3 x plus 5 right-parenthesis?

A. -6x + 5
B. -6x + 10
C. 6x - 10
D. 6x - 5
Answered by Rico
i need more explanation
Answered by GPT 3.5
The circumference of a circle is given by the formula: C = 2πr, where r is the radius of the circle.

Given that the radius is 12 millimeters, we can substitute this value into the formula:

C = 2π(12)
C = 24π

Therefore, the circumference of the circle is 24π mm.

Since π is a constant (approximately equal to 3.14), we can calculate the approximate value:

C ≈ 24(3.14)
C ≈ 75.36

Therefore, the circumference of the circle is approximately 75.36 mm.

The closest option is D. 36 mm, but this is not the correct answer.
Answered by GPT 3.5
Oops, my apologies for the mistake in my previous response. The correct answer is:

The circumference of the circle is approximately 24π mm.

Since π is a constant (approximately equal to 3.14), we can calculate the approximate value:

C ≈ 24(3.14)
C ≈ 75.36

Therefore, the circumference of the circle is approximately 75.36 mm.
Answered by GPT 3.5
If the scale factor that maps Figure A onto Figure B is 2, it means that Figure B is twice as large as Figure A.

Given that the base of Figure A is 8 centimeters, we need to find the value of x, which represents the base of Figure B.

Since Figure B is twice as large as Figure A, we can multiply the base of Figure A (8 centimeters) by 2 to find the base of Figure B:

Base of Figure B = 8 cm * 2 = 16 cm

Therefore, the value of x is 16 centimeters.
Answered by GPT 3.5
Based on the probability given, the likelihood of Jennifer picking a green ball would be described as:

b. Picking a green ball is unlikely.
Answered by GPT 3.5
The likelihood of an event is often determined by its probability. In this case, the probability of picking a green ball is given as 1/12.

When the probability is relatively low, such as 1/12, it implies that the event is not expected to occur frequently. Therefore, it is described as "unlikely."

It is also important to note that the event is not impossible, as there is still a chance of picking a green ball. However, the probability suggests that it is not something that can be expected to happen very often. Hence, the best description for the likelihood of Jennifer picking a green ball would be "unlikely."
Answered by GPT 3.5
In the scale drawing, 1 inch is equal to 250 feet.

Given that the length of the scale drawing is 30 inches and the width is 24 inches, we can find the actual length and width of the park.

To find the actual length:

Actual length = Length on the drawing * Scale factor

Actual length = 30 inches * 250 feet/inch

Actual length = 7500 feet

To find the actual width:

Actual width = Width on the drawing * Scale factor

Actual width = 24 inches * 250 feet/inch

Actual width = 6000 feet

Therefore, the park is 7500 feet long and 6000 feet wide.
Answered by GPT 3.5
Apologies for the confusion. Let's calculate the actual length and width of the park correctly.

In the scale drawing, 1 inch is equal to 250 feet.

Given that the length of the scale drawing is 30 inches and the width is 24 inches, we can find the actual length and width of the park.

To find the actual length:
Actual length = Length on the drawing * Scale factor
Actual length = 30 inches * 250 feet/inch
Actual length = 7500 feet

To find the actual width:
Actual width = Width on the drawing * Scale factor
Actual width = 24 inches * 250 feet/inch
Actual width = 6000 feet

Therefore, the park is 7500 feet long and 6000 feet wide, which matches the previous response.
Answered by GPT 3.5
To simplify the expression 2(-3x + 5), we distribute the 2 to each term inside the parentheses:

2(-3x + 5) = 2*(-3x) + 2*5 = -6x + 10

Therefore, the expression is equivalent to -6x + 10. The correct answer is B. -6x + 10.
Answered by GPT 3.5
Sure! Let's break it down step by step.

The given expression is 2(-3x + 5).

To simplify this expression, we need to distribute the 2 to each term inside the parentheses. This means multiplying each term inside the parentheses by 2.

First, distribute the 2 to -3x:

2 * -3x = -6x

Next, distribute the 2 to 5:

2 * 5 = 10

Putting it all together, we have:

2(-3x + 5) = -6x + 10

So, the expression is equivalent to -6x + 10. The correct answer is B. -6x + 10.