I'll answer 3 of these questions.
For future notice, make sure to limit yourself to asking at most, 3 individual questions per question. :)
1) r/10+4=5
Subtract both sides by 4.
(r/10+4)-4=(5)-4
r/10=1
Multiply both sides by 10.
(r/10)*10=(1)*10
r=10
2) n/2+5=3
Subtract 5 from both sides.
(n/2+5)-5=(3)-5
n/2=-2
Multiply both sides by 2.
(n/2)*2=(-2)*2
n=-4
3) 3p-2=-29
Add 2 to both sides.
(3p-2)+2=(-29)+2
3p=-27
Divide both sides by 3.
(3p)/3=(-27)/3
p=-9
Hope this helps.
-Benjamin
The surface area of the trash can = 25.12 ft²
Solution:
The given image is splitted into two shapes.
One is Cylinder and the other is hemisphere.
Radius of the cylinder = 2 ÷ 2 = 1 ft
Height of the cylinder = 4 – 1 = 3 ft
Curved surface area of the cylinder = 
= 18.84 ft²
Curved surface area of the cylinder = 18.84 ft²
Curved surface area of the hemisphere = 
= 6.28 ft²
Curved surface area of the hemisphere = 6.28 ft²
Surface area of the trash = CSA of cylinder + CSA of hemisphere
= 18.84 ft² + 6.28 ft²
= 25.12 ft²
The surface area of the trash can = 25.12 ft²
The probability of rolling a 2 is 1/6. So if you roll 8 times you would expect to roll a 2:
8(1/6)=8/6=1 1/3 times.
I found the missing choices. These are:
They are skew and will never intersect.
They are parallel and will never intersect.
They are perpendicular and will intersect.
<span>They will intersect at two points.
</span>
My answer: <span>They are skew and will never intersect.
Lines a and b are skew lines because they are not parallel and they do not intersect. The reason that they do not intersect is because each line is in a parallel plane. Parallel means going to the same direction but neither converging nor diverging.</span>
Answer:
B
Step-by-step explanation:
5x² - 3 - (x² - 4x - 8)
5x² - 3 - x² + 4x + 8
4x² + 4x + 5
