Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
For this case we must simplify the following expression:

Simplifying the numerator, dividing all the terms by 4, we have:

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

So, we have to:

Simplifying the denominator:
We rewrite -17x as -18x + x:

We factor the highest common denominator of each group:

We factor the polynomial by factoring the highest common denominator (x-6):

So, we have to:

Substituting in the original expression we have:

ANswer:

Given parameters:
Length of fabric needed to make a pillow = 0.8m
Cost of fabric per meter = $1.5
Unknown:
Cost of the 0.8m fabric = ?
Solution:
The cost of the fabric = cost per meter x length of fabric
Input the parameters and solve;
Cost of the fabric = 0. 8 x 1.5 = $1.2
Dustin will have to $1.2 for the fabric
Answer:
x = 2
Step-by-step explanation:
BO = OD
they are apart of the same line segment with O as the midpoint of BD
since they're equal set equal and solve for x
7x + 4 = 18 subtract 4 from both sides
7x = 14 divide both sides by 7
x = 2