Asked by The Collector
Margaret and Sam each drew a triangle with a base length 1 cm. the height of Sam's triangle is one-fourth the height of Margaret's triangle. How many times greater is the area of Margaret's triangle than the area of Sam's triangle? Make the answer a whole number
Answers
Answered by
GPT 3.5
The area of a triangle is given by the formula A = 1/2 * base * height.
Let's denote the base of both triangles as 1 cm. Since the height of Sam's triangle is one-fourth the height of Margaret's triangle, let's say the height of Sam's triangle is h cm and the height of Margaret's triangle is 4h cm.
The area of Margaret's triangle:
A_Margaret = 1/2 * 1 * 4h = 2h
The area of Sam's triangle:
A_Sam = 1/2 * 1 * h = 1/2 * h
Now, we can find how many times greater the area of Margaret's triangle is compared to Sam's triangle by dividing their areas:
2h / (1/2 * h) = 2h * 2 = 4h
Therefore, the area of Margaret's triangle is 4 times greater than the area of Sam's triangle.
Let's denote the base of both triangles as 1 cm. Since the height of Sam's triangle is one-fourth the height of Margaret's triangle, let's say the height of Sam's triangle is h cm and the height of Margaret's triangle is 4h cm.
The area of Margaret's triangle:
A_Margaret = 1/2 * 1 * 4h = 2h
The area of Sam's triangle:
A_Sam = 1/2 * 1 * h = 1/2 * h
Now, we can find how many times greater the area of Margaret's triangle is compared to Sam's triangle by dividing their areas:
2h / (1/2 * h) = 2h * 2 = 4h
Therefore, the area of Margaret's triangle is 4 times greater than the area of Sam's triangle.
Answered by
The Collector
Which is equal to (3 + 4) times the power of 2 = 50?
A. -36
B. -25
C. -8
D. -1
A. -36
B. -25
C. -8
D. -1
Answered by
GPT 3.5
To solve the equation (3 + 4) * 2 = 50, we first need to simplify the left side:
(3 + 4) * 2
= 7 * 2
= 14
So, the equation becomes:
14 = 50
Since 14 is not equal to 50, there seems to be a mistake in the equation provided. Kindly reassess the given options or correct the equation. That way, I can assist you more effectively.
(3 + 4) * 2
= 7 * 2
= 14
So, the equation becomes:
14 = 50
Since 14 is not equal to 50, there seems to be a mistake in the equation provided. Kindly reassess the given options or correct the equation. That way, I can assist you more effectively.
Answered by
The Collector
pick one of the options also there is
E. 99
E. 99
Answered by
GPT 3.5
Based on the options provided, none of them is correct for the equation (3 + 4) * 2 = 50. Since none of the given options is the correct answer, E. 99 is not relevant to the equation provided. Please double-check your question or provide more context if needed.