Answer:
Thus the length = 230 and width = 90.
Step-by-step explanation:
Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.
She has 320 feet of fencing.
Let the length of the rectangular fence be x and the width of the fence be y.
Then the relation between them is
x = 3y - 40
Also x + y = 320
Solving these equations,
320 - y = 3y - 40
4y = 360
y = 90
x = 230
Thus the length = 230 and width = 90.
Answer:
The width is 
Step-by-step explanation:
The perimeter of the rectangular yoga mat can be found using the formula;
.
.
It was given that the width of the mat is eight less than half the length.

We put equation (2) into equation (1) to get;
.
.
.

Divide both sides by 3;

We put
into equation 2 to get;



Answer:
volume = 7 * 4 * 24 = 672 m 3
Step-by-step explanation:
a^2 = 25^2 - 7^2 = 576
-> a = 24
volume = 7 * 4 * 24 = 672 m 3
Answer:

Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp

we have

substitute and solve for x



This trinomial fully factored is 2(6p + 5q)(6p + 5q)