Answer:
A
Step-by-step explanation:
Using Pythagoras theorem, we have
x^2+11^2=15^2, x^2=104, x=2*sqrt(26)
Answer:
m∠WZX = 41°
Step-by-step explanation:
diagonals bisect angles and opposite angles are congruent
therefore, ∠WXY ≅ ∠WZY
∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°
If ∠WXZ = 71° then so does ∠XZY
Which means that ∠WZX must equal 112-71 which is 41°
Answer:
0 ≤ x ≤ 5
Step-by-step explanation:
I used the Desmos calculator
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.