Answer:
The answer to your question is:
7.- y = 6 units
8.- a = 10.6 in
9.- 41.6 ft
Step-by-step explanation:
7.- That is a right triangle and the hypotenuse is y.
Use the pythagorean theorem to find y.
y² = (3√2)² + (3√2)²
y² = 9(2) + 9(2)
y² = 18 +18
y² = 36
y = 6 units
8.-
hypotenuse = 15 in
c² = a² + b²
a = b so
c² = a² + a²
c² = 2a²
c² / 2 = a²
a² = 15² / 2
a² = 112.5
a = 10.6 in
9.-
Use trygonometry to solve this triangle
height = 36 feet
sin Ф = 36 / hypotenuse
hypotenuse = 36 / sin Ф
hypotenuse = 36 / sin60
hypotenuse = 36 / 0.86
hypotenuse = 41.6 ft
-a+b+(-7)
-(-8)+(-2)+(-7)
8 - 2 - 7
6 - 7
= -1
Let's solve your inequality step-by-step. <span><span><span>−<span>3<span>(<span><span>−2</span>−x</span>)</span></span></span>+x</span>>20</span>
<span />Step 1: Simplify both sides of the inequality. <span><span><span>4x</span>+6</span>>20</span>
<span />Step 2: Subtract 6 from both sides. <span><span><span><span>4x</span>+6</span>−6</span>><span>20−6</span></span><span><span>4x</span>>14</span>
<span />Step 3: Divide both sides by 4.<span><span><span><span><span>4x</span>4</span></span></span>><span><span><span>144</span></span></span></span>
<span><span><span><span /></span></span></span><span>x><span><span>7/2</span></span></span>
