Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112
Answer:
A) 
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of 
where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function 
is known as increasing in an interval 
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function is known as decreasing in an interval when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval: 
and is increasing on the interval:
When we choose from the options,
The correct answer is option A)
Answer:
a) 3.0779
b)2.3264
Step-by-step explanation:
Please see attachment .
The answer to question 1 is B
the answer to question 2 is B
Answer:
16 * √3 cm² or approximately 27.71 cm²
Step-by-step explanation:
Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:
8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3
8 * sin(π/6) = 8 * (1/2) = 4
Multiply those two values together to get the area and you get
16 * √3 cm²
