Answer:
8.29
Step-by-step explanation:
degrees of sector / by 360 * by pi* r^2
Complete question :
a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches
Answer:
1.25
Step-by-step explanation:
Given the regression equation :
y=1.6x + 58
X = shoe size ; y = height
Using the equation, the approximate shoe size of a man with a height of 60 will be ;
60 = 1.6x + 58
60 - 58 = 1.6x
2 = 1.6x
2/1.6 = 1.6x / 1.6
x = 2 / 1.6
x = 1.25
Hence, approximate shoe size of a man with a height of 60 will be 1.25
Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)
Answer:
18
Step-by-step explanation:
Two years ago, Lisa was 34 - 2 = 32 years old. If she was twice as old as her brother, he was 32 / 2 = 16 years old at that time. His age now will be 16 + 2 = 18.