Answer:
176 words
Step-by-step explanation:
1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:
<u>44 words</u> = <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
1 minutes = 4 minutes
2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.
3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!
4) multiplying 44 by 4 would get us our answer which is 176
im not the best at math but i this explanation helped <33
Can we have the answer choices? I believe it would be 100° but the answer choices would really help :)
Answer:
4.11 * 10⁷ square miles
Step-by-step explanation:
Let P = pacific ocean
A = Atlantic ocean
P = 63,780,000 = 6.38 * 10⁷
Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,
The area of A = 6.38 * 10⁷ - 2.27 * 10⁷
The area of the atlantic ocean = 4.11 * 10⁷ square miles
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15
speed = distance/time
distance = speed * time
366 = (2s + 15) * 2
183 = 2s + 15
168 = 2s
s = 84
The slower bus travels at 84 km/h.
s + 15 = 84 + 15 = 99
The faster bus travels at 99 km/h.
Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
Taking Rhs
1/2 [sin(x+y)+ sin (x-y)]
using sinA + sin B = 2 cos (A+B)/2 cos( A - B)/2
1/2 [ 2 Cos ( x+y+x-y)/2 . Cos (x+y-x+y)/2]
=Cos 2x/2. Cos 2y/2 = Cos x . Cos y
Hence true