Answer:
x=4
Step-by-step explanation:
3(-4x+5)=12
3(-4x) + 3(5)=12
-12x+15=12
<u> -15</u><u>=-15</u>
-12x=-3
-x = -4
Since your x is negative change the signs
1)
you have similar triangles(ABC, ADE), so their side length ratios are equal
8/2=4/CE
CE*4=4
CE=1
2)
angle bisector theorem:
CD/DA=BC/BA
CD/DA=10/8
I:AD=10CD/8
we also know AC=AD+CD=6
II:CD=6-AD
insert II in I:
AD=10(6-AD)/8
=5(6-AD)/4
=(30-5AD)/4
4AD=30-5AD
9AD=30
3AD=10
AD=10/3
According to the basic trigonometric equation for right angle triangles:
Sin(x) = opp/hyp
so...
Sin(60) = 4(sqrt(3))/x
x = 4(sqrt(3))/sin(60)
x = 6.928.../0.866...
x = 8
Answer:
#3
Step-by-step explanation:
Compute the two volumes and subtract!
V Cylinder = pi * r^2*height
V1 = pi*8^2*15, V2 = pi*3^2*15,
V1-V2 = pi*15(8^2-3^2) = pi*15*55 = 2591.81393921157923
Answer = 2591.8 cm^3 (if rounded to tenths)
