Answer:
The table of values and their graph show above a straight line that passes through the origin. This indicates that the relationship between the two currencies is in direct proportion. Think about what this means in real terms – if you have ten times more dollars than another person, when you both exchange your money, you will still have ten times more money. Notice also that the graph passes through the origin; this makes sense as if you have no dollars you will get no pounds!
We can express these relationships algebraically as well as graphically.
Answer:
See explanation
Step-by-step explanation:
Consider the natural number 
If 
is the natural number, then 
are next two natural numbers, so numbers 
and 
are three consecutive numbers.
Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product
is divisible by 6.
Answer:
224 cubes
Step-by-step explanation:
1. Find the area: 2 * 1 *7/4 = <em>7/2 cm³</em>
2. Find how many cubes fit into 1 cm³: 4 * 4 * 4 = <em>64 cubes</em>.
3. Multiply the two numbers: 7/2 * 64 = 224 cubes.
First write the equation:
1/2x + 5 = 6
Then subtract five from both sides:
1/2x = 1
Multiply both sides by 2:
x = 2
We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614
