<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
10.5 - 8.7 = 1.8
There is 1.8 feet of pipe left
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Where x is the percent discount,
x = 5/20 * 100.
The percent discount is 25%.
Step-by-step explanation:
<h3>
6.) 80x²y</h3>
Prime factors of :
• 80 = 2 × 2 × 2 × 2 × 5
• x² = x × x
• y = y
• 80x²y = <u>2 × 2 × 2 × 2 × 5 × x × x × y</u>
<h3>
7.) 56x³y²</h3>
Prime factors of :
• 56 = 2 × 2 × 2 × 7
• x³ = x × x × x
• y² = y × y × y
• 56x³y² = <u>2 × 2 × 2 × 7 × x × x × x × y × y</u>
<h3>
8.) 81xy²</h3>
Prime factors of :
• 81 = 3 × 3 × 3 × 3
• x = x
• y² = y × y
• 81xy² = <u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>x </u><u>×</u><u> </u><u>y </u><u>×</u><u> </u><u>y</u>
#CMIIW ^^
