<span>You are given a rectangular picture measuring 8 inches by 7 inches. Also, Alistair wants this to be framed and that the total area is 34 square inches. The width of the frame is x inches. To solve the dimension of the frame with value of x we have:
We have to assume that x here will be equal to all sides of the frame and so, using the area of the rectangle, we can model the equation like this:
A = LW (where A is the area, L is the length and W is the width)
36 = (8 - x)(7 - x)
36 = 56 - 8x - 7x + x</span>²
<span>x</span>² - 15x +20 = 0 → model of our equation and in quadratic form
x² - 15x + 20 = 0
using a calculator, x = 1.48 inches
<span>
3.Use the equation you created in part A to find the width of the picture frame</span>
Answer:
length is 20 and the width is 5
Step-by-step explanation:
so Area is 100
Area = width * length
legth = 4 * width
This means:
Area = width * 4 width => Area = 5 * width
We know that area is 100 so:
100 = 5 * width
that means width = 20, but wait didn't I say that the length is 20? Yes, remember we said length = 4 * width at the beginning, so <u>length = 20</u>.
Now we can easily calculate width as width is 4 times smaller than length, so:
<u>width = 20/4 => 5</u>
We can also test if this is correct by simply using the formula to calculate rectangle. So 5 * 20 = 100, correct!
Answer:
Step-by-step explanation:
Use the Law of Cosines
A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°
Answer:
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)
Step-by-step explanation:
that should be right
