To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
1. The slope is -2/5 not 3-/10
How long did she ride it for?
otherwise it would be 5.3 kph
Let's solve your equation step-by-step.
2b+1=16−3b
Step 1: Simplify both sides of the equation.
2b+1=16−3b
2b+1=16+−3b
2b+1=−3b+16
Step 2: Add 3b to both sides.
2b+1+3b=−3b+16+3b
5b+1=16
Step 3: Subtract 1 from both sides.
5b+1−1=16−1
5b=15
Step 4: Divide both sides by 5.
5b/5=15/5
<em>answer: b=3</em>
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B

On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5