Answer:
The area of the remaining board is [(L × B) - (l × b)].
Step-by-step explanation:
Suppose the bigger rectangle is labelled as ABCD and the smaller rectangle is labelled as PQRS.
Consider that the length and breadth of the bigger rectangle are L and B respectively. And the length and breadth of the bigger rectangle are l and b respectively.
The area of any rectangle is:
Area = Length × Breadth
The area of the bigger rectangle is:
Area of ABCD = L × B
The area of the smaller rectangle is:
Area of PQRS = l × b
Then the area of the remaining board will be:
Area of remaining board = Area of ABCD - Area of PQRS
= (L × B) - (l × b)
Thus, the area of the remaining board is [(L × B) - (l × b)].
Answer:
-2x+35
Step-by-step explanation:
Two angles at base 90& 45
Answer 45
Answer:
0. $1,000 1. $1,045 2. $1,092.03 3. $1,141.17 4. $1,192.52. 5. $1,246.18 6. $1,302.26 7. $1,360.86 8. $1,422.10
Step-by-step explanation:
First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.
So the definition of the cosine of an angle of a right triangle is

. You may remember this by SohCahToa (sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent).
Remember, adjacent refers to the side next to the angle in question, and the side can't also be the hypotenuse. The hypotenuse is that longest side and is opposite the right angle.
We have the cosine of 30°. We write