About 2.86 inches
Step by step explanation-
The formula for the volume of a cone is pi2 h/3 plugging the known numbers into formula you get
75=pi 5^2 h/2
H/3=0.955
H=2.86 inches
Angles PMN and MPN are also 16 because the triangles are isosceles.
The measure of the third angle (angle N) is 148 which also equal to the measure of angle K. The measure of angle PKE is 74 which half of the measure of angle N and angle K.<span />
The coordinates are (-5,1).
Answer:
65.91078
Step-by-step explanation:
You add the two decimals, that gives you two decimals. Use those two decimals and place them to the right of the answer. =0)
2(x-6)=3(x+3)
Let's solve your equation step-by-step.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span><span>Simplify: (Show steps)
</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9
</span></span>Step 2: Subtract 3x from both sides.
<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x
</span></span></span><span><span><span>−x</span>−12</span>=9
</span>Step 3: Add 12 to both sides.
<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12
</span></span><span><span>−x</span>=21
</span>Step 4: Divide both sides by -1.
<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1
</span></span></span><span>x=<span>−21
</span></span>Answer:
<span>x=<span>−<span>21</span></span></span>