Answer:
Step-by-step explanation:
Find the area of the shape by creating two shapes. A large rectangle and a very small triangle. The area of the rectangle is 13x12, and the area of the triangle is (1/2)3x4. The area of both shapes together is 6+156=<u>162</u>.
Now you can easily calculate the area of each rug and determine whether it is over half of 162 (because 162 is the area of the entire floor), or under half of 162. If it is under 81, then it does not cover at least half of the floor.
12x6 = 72 no
10x9 =90 yes
13x12 = 156 yes
3x12 = 36 no
8x8 = 64 no
Answer:
The standard form of the equation is 2x + 5y = -1
Step-by-step explanation:
To find this equation in standard form, we first need to find the slope of the line. We can do that by using the slope formula with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -3)/(-3 - 7)
m = 4/-10
m = -2/5
Now that we have the slope, we can use that along with the point in point-slope form
y - y1 = m(x - x1)
y - 1 = -2/5(x + 3)
Now that we have that, we can solve for the constant and rationalize the denominators.
y - 1 = -2/5x - 6/5
2/5x + y - 1 = -6/5
2/5x + y = -1/5
2x + 5y = -1
The formula is
B = 1000e^(yr) where y = 5 years and r = 0.06 ( = 6%)
so answer is 1000e^(5*0.06) = $1349.86
Answer: 4, 2, 3, 5, 1
Step-by-step explanation:
First, you need to set your compass width or set the compass at one of the terminal points.
After, you can draw arcs above and below.
Then, repeat for the other terminal point.
Finally, connect the intersection of the arcs.
D
Dilation
I had this question on USA Testprep