Answer:
2.515
Step-by-step explanation:
1. First you add the equation for a cone and a half sphere
(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)
2. You replace h with 2*r2 because height is 2*Diameter
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)
3. You make the equation equal 100
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)=100
4. Solve for
r=2.515
Answer:
3 1/3
Step-by-step explanation:
Right side segments are proportional to left side segments:
5/6 = x/4
x = 4·5/6 = 3 1/3 . . . . . multiply by 4
at 8 miles they are the same amount after that Carlas cab is more money than tims
Answer:
x+
y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is (
;
)
=> the line :
x+
y+5=0
<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
</span><span>8y </span>= <span>16
</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer