Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by,
.
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by,
, where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So, 
Therefore, Li Ping's statement makes sense. (Answer)
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
Given:
The polynomial is

To find:
The real and complex zeros of the equation.
Solution:
We have,

For zeros, p(x)=0.




The real value of x is 0. The equation
will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get




On further simplification, we get




Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
Let the mean number of cars passing through intersection 1 be μ1 and that of intersection 2 be μ2. Then the appropriate test of the city planner's hypothesis is
H0: μ1 - μ2 = 0
H1: μ1 - μ2 ≠ 0