1/3b = 4/5
Do the cross multiplication
1(5) = 3b(4)
5=12b
<span>b=5/12</span>
Answer:
34 because 50 percent of 68 is 34
Based on her on training regiment, Amanda will be able to run 26 miles in the 25th week.
<h3 /><h3>What is the total number of miles Amanda will run every week?</h3>
Amanda will run 2 miles in the first week and then 1 less mile in the following week. Then 3 more miles in the week after.
Week 1 - 2 miles
Week 2:
= 2 - 1
= 1 mile
Week 3:
= 1 + 3
= 4 miles
Week 4:
= 4 - 1
= 3 miles
Week 5:
= 3 + 3
= 6 miles
From the given pattern, Amanda increase the number of miles ran by 2 miles every 2 weeks.
The number of miles ran every other week would therefore be:
Week 7 = 8 miles
Week 9 = 10 miles
Week 11 = 12 miles
Week 15 = 16 miles
Week 19 = 20 miles
Week 25 = 26 miles
In conclusion, she would reach her goal in 25 weeks.
Find out more on solving schedule problems at brainly.com/question/20020676.
Answer:
See below.
Step-by-step explanation:
1. (1 / 2)[cos(a – b) – cos(a + b)]
= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)
= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)
= 1/2 ( 2 sina sinb)
= sina sinb.
(I used the 2 identities cos(a - b) = cosa cosb + sina sinb) and
cos (a + b) = cosa cosb - sina sinb.)
2. sin (π/2 - x) = sin (π/2) cos x - cos(π/2) sin x
= 1 * cos x - 0 * sinx
= cosx - 0
= cos x.
(I used the identity sin(a - b) = sina cosb - cosa sinb
and the fact that sin(π/2) = 1 and cos (π/2) = 0. )
Answer:
0.8
Step-by-step explanation:
I hope this helps
