Answer:
4:5
Step-by-step explanation:
If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.
However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.
12:15
= 4:5
So, the ratio of boys to girls in Timara's class is 4:5
Answer:
Step-by-step explanation:
<em>The complete question is </em>
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
see the attached figure to better understand the problem
step 1
Find the measure of angle S
Applying the law of sines
substitute the given values
Solve for sin(S)
![S=sin^{-1}[sin(80^o)}{3.1}(2.4)]](https://tex.z-dn.net/?f=S%3Dsin%5E%7B-1%7D%5Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29%5D)
step 2
Find the measure of angle Q
Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees
so
substitute the given values
step 3
Find the length of segment RS
Applying the law of sines
substitute the given values
Answer:
a) Use the data in the table to find the rate of change in the length of baby girl Grace. (2 points)
The rate of change is 1.5 inches every two months. (0.7 inches per month)
b) Write a linear equation for the graph in point-slope form. Show your work. (2 points)
0.7x-y+17.2=0
Work: (y-y1)=m(x-x1)
(y-20)=0.7(x-4)
y=0.7x-2.8+20
y=0.7x+17.2
0.7x-y+17.2=0
c) 20-1.5= 18.5 (2 months)
18.5-1.5= 17
17 inches
Grace was 17 inches at birth. I found this out by using my data and knowing that she grew 1.5 inches every two months. So, to solve I subtracted 1.5 from 20, for that was the first data that was given, and was left with the data that the baby was 18.5 inches long at birth. I did the same procedure again, subtracting 1.5 from 18.5, and was given 17. Since 17 inches long was what was recorded at zero months, that would mean that the baby was 17 inches long at birth.
d) Based on the data, I can predict that Grace will grow about 4.2- 4.5 inches in 6 months, and be about 44 inches long. To do this, I took the known rate of change (1.5 inches per two months) and the last recorded data (39.5 inches). I then realized that there was six months until 36 weeks. Still keeping in mind that the rate of change was 1.5 per two months, I multiplied 1.5 by 6 and then divided by 2 (because it was every two months and not one). This came out to be that she would grow 4.5 inches in 6 months. I then added 4.5 to 39.5 (the length at 30 months) and got a total of 44 inches. This would mean that Grace would be 44 inches long at 36 weeks. This would make sense because the rate of change was used, and if one subtracted the rate of change by 0.7 for 6 months from 44, they would get an answer of 39.5.
Hope this helped:)
