Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;
From trigonometry, 2sinAcosA = Sin2A
Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;
= 
<span>The time saved will be: x - m/k
This is a simple exercise in manipulating symbols. Let's take a look at the problem and break it down.
"Stanley drives m miles in x hours"
This statement immediately gives us 2 variables; "m" to represent how many miles the trip is and "x" for the number of hours it took Stanley to drive that far. Now let's look at the next statement.
"How many hours would he save if he drove the same distance at k miles per hour?"
This statement gives us another variable "k" for a new speed and gives us the question to answer. How many hours would Stanley save if he made the trip at a different speed. Since we're interested in hours saved, we need 2 different time values. They are
1. How much time did Stanley originally take?
2. How much time will the new speed make Stanley take?
Looking at m, x, and k. We can immediately see that x is the original time that Stanley took. So we have that value. But we don't have any value for how long will it take at a new speed. But can we calculate it? And the answer to that is YES. The time it will take is the distance divided by the new speed. And that would be m/k. And since we're looking for savings, we just need to subtract the two time values. So our equation becomes
x - m/k
where
x = original time taken
m = distance of trip
k = new speed to drive at</span>
9514 1404 393
Answer:
1,222,200
Step-by-step explanation:
A search using a computer program found ...
5432 × 225 = 1,222,200
__
1000 mod 225 = 100
4 × 225 = 900
This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.
Answer: 30
Step-by-step explanation:
40 + 8x = 280
-40 -40
8x = 240
___ ____
8 8
X = 30
Answer:
They are the similar because 2 of their angles are identical and that means that the third angles have to be the same also.
