The measure of the intercepted arc (a) is twice the measure of the inscribed angle intercepting it (b or 25°). The measures of the inscribed angles are all the same: b = 25°.
The appropriate choice is D. 25
Add the given values : 132 + 94 + 108 = 334
subtract the total from the result : 446 - 334 = 112
and divide it to two (since D and E are equal) : 112 ÷ 2 = 56
w is = 56
Answer:
Step-by-step explanation:
x+2y=10
6y=-3x+30
~~~~~~~~~~~~~~~~
x =10 -2y
substitution
6y=-3x+30
6y=-3(10 -2y)+30
6y = -30 + 6y + 30
6y = 6y
everything disappears.... that means the lines are "the same line"
"co-incident" ... "infinite solutions"
Note" if you ended up with something like 3=0 then the lines are parallel
The first thing we are going to do in this case is to rewrite the function:
f (x) = - 16x ^ 2 + 48x
We look for the first derivative:
f '(x) = - 32x + 48
We match zero:
0 = -32x + 48
We clear x:
32x = 48
x = 48/32 = 24/16 = 12/8 = 6/4 = 3/2
x = 3/2
We verify if this value is a maximum or minimum with the second derivative:
f '' (x) = - 32
We evaluate in x = 3/2:
f '' (3/2) = - 32 (<0 Is a maximum)
Therefore the maximum height is reached in:
x = 1.5 s
The height is:
f (1.5) = - 16 * (1.5) ^ 2 + 48 * (1.5)
f (1.5) = 36 feet
Answer:
The maximum height of the ball is:
36 feet
and it takes the ball to reach that height about:
1.5 s
Answer:
5
Step-by-step explanation:
keep change flip
3 - -2
3 + 2