Answer:
We must prove that (c+a)(c+d) = (b+c)(b+d)
- Let us use principles from mathematical induction

- a=bx , b=cx, c=dx
- a+c = b + c
- c +d = b + d
- Such that (a+c)(c+d)=(b+c)(b+d)
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Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Answer:
the correct answer is C. 45
Step-by-step explanation:
so 1/5 means there are 5 peice to make a whole...
so if you cut an apple into 5 parts, each slice of that apple is 1/5
so if you cut 9 apples into 5 slices its just multiplication...
5*9=45
**for my visual learners** in the parenthesis are groups of 5 sticks
( ///// ) **those are your apple slices** **now just do that exactly 9 times**
( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )
5 10 15 20 25 30 35 40 45
i really hope this helps <3
You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

Now you can calculate the lateral area as follows:

Charlie will need 282.6 m² to cover the lateral side of the cylinder.
<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>
<em><u>Solution:</u></em>
<em><u>The volume of triangular prism is given as:</u></em>

Given that,
A triangular prism container is full of water of 428 cubic cm
The water is 10 cm deep
Therefore,
v = 428 cubic cm
h = 10 cm
<em><u>Substituting the values we get,</u></em>

Thus the base area of triangular prism container is 42.8 cubic centimeter