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
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.
so what is the real correct answer?
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.
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.
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.
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
Based on the probability given, the likelihood of Jennifer picking a green ball would be described as:
b. Picking a green ball is unlikely.
explain
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."
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.
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.
i think your wrong
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.
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
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.
i need more explanation
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.