Answer:
<h2>B. x² + 3x - 5</h2>
Step-by-step explanation:
Answer:
-10x + 35 + 5x simplifies to -5x + 35.
Step-by-step explanation:
Combine Like Terms:
= −10x + 35 + 5x
= (−10x + 5x) + (35)
= −5x + 35
Hope this helps!
Answer:
8/15 gallons or 0.5333 gallons
Step-by-step explanation:
x = total
0.4 = 0.75x
0.4/0.75 = x
0.533 = x
0.533 = 8/15
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:
We are given the volume of a cone is
Equating:
Multiplying by 3:
Simplifying by pi:
Since h=x:
Dividing by x:
Taking square roots:
Thus: r=3x
