This one is the Law of Sines again.
The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then
Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.
So we need the first equation of the Law of Sines:
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
Answer:
To find the reciprocal of a fraction all you need to do is flip it upside down.
I don't know what you mean but if it's 18/7 the reciprocal would be 7/18.
If it's a whole number (so just 18) convert it to an improper fraction (so 18/1) and then flip it. (1/18.)
Answer:
+5 or -5.
Step-by-step explanation:
Given equation,
5x-10/x^2-25
When you divide something with zero, it becomes undefined. So, to be undefined, x will have to be that value which makes the divisor zero.
Now, x^2-25= 0
Or, x^2= 25
Or, x= +5,-5.
So, for the value +5 and -5, the divisor becomes zero and makes the whole equation undefined.
Vertical angles are equal
so
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20
5x - 4x = 7 + 20
x = 27
