Answer:
sin75º=sin(30)º+45º)
=sin 30 cos 45+cos 30 sin 45
=1/2*√2/2+√3/2*√2/2
=√2/4+√6/4
=(√2+√6)/4
Check with calculator:
sin 75º≈0.9659
exact value=(√2+√6)/4≈0.9659
Answer:
32.6
Step-by-step explanation:
Look at the decimal in the hundredths place in 32.62
If the number is 0-4, round down. If the number is 5-9, round up.
In 32.62, the number in the hundredths place is 2. So, we round down to 32.6
The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.
<h3>How to form equation and solve for the variable?</h3>
The bicyclist covered 5 / 7 of his route and an addditional 40 miles.
Let
x = distance of his route in miles
Hence,
distance covered = 5 / 7 x + 40
He has yet to cover 118 miles less than 0.75 of his route. Therefore,
distance not covered = 0.75x - 118
Distance of his route = 5 / 7 x + 40 + 0.75x - 118
x = 5 / 7 x + 40 + 0.75x - 118
x = 1.464x - 78
x - 1.464x = -78
-0.464x = -78
x = 78 / 0.464
x = 168.103448276
x = 168 miles
learn more on equation here: brainly.com/question/13887440
Answer: dropped by 2.7°
Step-by-step explanation: 102.4-99.7
Answer:
rationalizing
Step-by-step explanation:
