Vcone=1/3(hpir^2)
vcylinder=hpir^2
r=3 for everybody
h=5 for cone and h=4 for cylinder
vcone=1/3(5pi3^2)=15pi
cylinder=4pi3^2=36pi
total is 15pi+36pi=51pi ft³ or about 160.22 ft³
Answer:
X = 1
Step-by-step explanation:
1) Move the 3x to the left hand side and change its sign:
4x-19+3x=-12
2) Move 19 to the right hand side and change its sign:
4x+3x=-12+19
3) collect the like terms:
4x+3x= 7x
-12+19= 7
4) Divide both sides by 7
X = 1
Answer:
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)
Step-by-step explanation:
Area=height * base
30=h*6
h=30/6=5 cm
height=asinФ
sinФ=5/10=1/2 (Ф=30)
alternate angle=180
180-30=150 degrees
diagonal²=a^2+b^2-2abcos150
d²=10²+6²-2(10)(6)(-√3/2)
d=√136+60(√3)
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos30)=5.663
Answer:
x = -36
Step-by-step explanation:
x/3 + 8 = -4
x/3 = -12
x = -36
First of all I want to point out you drew the diagram a little wrong. The Arc is 41 doesn't mean its 41 degrees it means it has length 41 so remove the degrees symbol.
Now for the answer the other arc have to have angle 40 too because vertical angles. And because the radius is the same, both of the length has formula 40/360*pi*2*radius which is 41 in this case. So x has to be 41 also :) Done!