Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:
Area of a circle is:
Putting 
and in the above formula, we get
Therefore, the area of the hold is 706.5 square cm.
Answer:
-1/4x + 3
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
1. add 31 on both sides (you wanna get the "x" by itself)
ex: 2x - 31 = 7
+31 +31
2. the 31s cancel each other out so now you add 31 + 7
2x = 7
+31
___________
38
3. divide 2 on both sides so the 2s cancel each other out and only the x is left
ex: 2x / 2 = x 38 ( the 38 stands alone)
4. now divide 38/2 and you have your answer
X= 19
Answer:
- (b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
- 1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
Micheal answered 3 wrong.
Nythia answered 4 wrong.
Raul answered 1 wrong.
Tonya answered 7 wrong.
The other student lost 36 points.
