To solve this exercise you must follow the proccedure below:
a) Find the maximum height of the tennis ball:
You have that the path of the ball can be represented by h=-16t²<span>+18t+5. Then:
t=-b/2a
t=-18/2(-16)
t=0.562
</span>
h=-16t²+18t+5
h=-16(0.562)²+18(0.562)+5
h=10.06
b) How long will it take to reach the ground?
h=-16t²+18t+5
h=0
-16t²+18t+5=0
You must apply the quadratic equation:
t=(-b±√(b^2-4ac))/2a
a=-16
b=18
c=5
When you substitute the values, you obtain:
t=1.35
<span>What is the value of a2 in the sequence?
2, 5, 10, 17, ... is 2
What is the value of a3 in the sequence?
−4, −2, −1/2, −1/4, ... is −1/2
Which answer describes the type of sequence?
3, 9, 15, 21, ...is arithmetic with d=6
Which answer describes the type of sequence?
4, 9, 13, 22, ...
is neither arithmetic nor geometric
Which answer describes the type of sequence?
200, 40, 8, 1.6, ...
is geometric with q=1/5
Have fun</span>
You would take 56/4 for the sides of his square backyard.
Now you have 14.
Take 14 times itself (squared) to get the area)
14x14 =196
196 is your answer
Answer:
180
Step-by-step explanation:
Let x be the first integer.
Let y be the 2nd integer.
Given info from the question,
x = 5% x y
x = 0.05y - equation 1
x + y = 63 - equation 2
Lets now substitute equation 1 into equation 2.
0.05y + y = 63
1.05y = 63
y = 63 / 1.05
= 60
Now we substitute y into equation 1.
x = 0.05(60)
= 3
Now since we know both x and y,
we can find the product of them.
xy = 60 * 3 = 180
Y = 105 degrees
Angle A = Angle B
Angle C = Angle D
Trapezoid: 360 degrees
75+75= 150
360 - 150 = 210
210/2 = 105