(25 points, please help! Brainliest!) Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home.
She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
1. Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
2. What are the dimensions of the painting on the new scale drawing?
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
1. Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
2. What are the dimensions of the painting on the new scale drawing?
1 answer:
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Answer:
The area of the sumo wrestling ring is
Step-by-step explanation:
The circumference of the circular sumo wrestling ring is , that means its radius
is:
Now once we have the radius of the sumo wrestling ring we can find its area
by the following formula:
Putting in the value of we get:
Therefore the area of the sumo wrestling ring is
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
, so we can rewrite our expression as follows:
From our unitary circle we can check that
and 
.
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
From our unitary circle we can check that
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7