Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X =
=
=
, then
∠ X =
(
) ≈ 44° ( to the nearest degree ) → A
Answer:
5
Step-by-step explanation:
41-32=9
9 × 5/9=5
so it's 5
We know the perimeter is the sum of all sides. So lenght+length+width+width = 2length+2width.
Let's call the width x. If the length is 4m longer, then it's x+4.
We know the perimeter, so we can make an equation:
56=2x+2(x+4)
And solve from there:
56=2x+2x+8
56=4x+8
48=4x
48/4=x
x=12
The width, which is x, is 12 m. And the length, x+4, is 16 m.
You can check this is correct by calculating the perimeter using those values: 12+12+16+16=56.
Given:
The expression is:

To find:
The simplified form of the given expression in standard form.
Solution:
We have,

It can be written as:


![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)

Therefore, the required value is
.
Let x(t) = the length of a side of the square (cm) at time t (s).
The rate of change of x is given as

The area (cm²) at time t is
A = x²
The rate of change of the area with respect to time is

When A = 9 cm², then x = √9 = 3cm. Hence obtain

Answer: 12 cm²/s