Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given 
and 
. Sum of these two angles is 90°.
So we can write the equation as,
We have to remove the parenthesis now.
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
We have got the required value of x.
The solution is x= 25.
Answer:
C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]
Step-by-step explanation:
The first derivative is the slope between two points as the distance between those points approaches 0. Slope is Δy/Δx. Choice D is a valid way to write the first derivative. It is the slope between the points (x, f(x)) and (x+h, f(x+h)). Choice C is not a valid definition.
I think it’s 16 remainder 1
Answer:173/10
Step-by-step explanation:
Answer:
D. $67.50
Step-by-step explanation:
A ticket costs $5.25, a drink costs $2.00, and a popcorn costs 4.00. Each person in the group buys all of these. So we know that each person is paying:
4.00 + 2.00 + 5.25 = 11.25
Since there are 6 people in the group we can multiply that by 6:
11.25 * 6 = 67.50
