5n+8=43
43-8 = 35
35/5 = 7
n=7
Answer:
The factors of 3 are: 1, 3
The factors of 9 are: 1, 3, 9
The factors of 27 are: 1, 3, 9, 27
Then the greatest common factor is 3.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The rotation transformations are ...
90° : (x, y) ⇒ (-y, x)
180° : (x, y) ⇒ (-x, -y)
270° : (x, y) ⇒ (y, -x)
Applying these to the given points, you get ...
9) A'(6, 9)
10) A'(15, 11)
11) A'(9, 6)
12) A'(-11, 15)
13) A'(6, -9)
14) A'(15, -11)
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
