Step-by-step explanation:
Share 20pounds in the ratio 2:3
Total ratio=2+3=5
2/5×20=8
20-8=12
Sharing 20pounds in that ratio gives 8pounds:12pounds
Share 15cm in the ratio 1:3
Total ratio=1+4=4
¼×15=3.75
15-3.75=11.25
Sharing 15cm in that ratio gives 3.75:11.25
Answer:
Function
Step-by-step explanation:
Since there is once variable of y for ever6y value of x in (-1,2), (-2,1), (-3,0), (-4,-1), this relation is a function.
-3(6-10v-5v)
=-3(6-15v)
=-18+45v
-18+45v is the final answer.
Answer:
The answer to your question is: width = 3 meters
Step-by-step explanation:
Data
Perimeter = 16 meters
The room is 2 meters longer than its width, then length = width + 2
Perimeter = 2 length + 2 width
16 = 2(width + 2) + 2 width
16 = 2 width + 4 + 2 width
16 = 4 width +4
16 - 4 = 4 width
12 = 4 width
12/4 = width
3 = width
length = 3 + 2 = 5 meters
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
