<span>The payment plan requires him to make a down payment of $125, and then pay $72.50 each month for 6 months. The total payment would be: $125 + 6*$72.50= $125 + $435= $560
</span><span>The percent increase from the original costs would be:
($560-$500) / $500 * 100%= 12%</span>
Answer:
Total weight = 1,500 tons
Step-by-step explanation:
Given:
l = 5 ft
b = 5 ft
h = 6 ft
One cubic foot weighed = 0.1 tons
Find:
Total weight
Computation:
Volume = lbh
Volume = (5)(5)(6)
Volume = 150 ft³
Total weight = Volume / 0.1
Total weight = 150 / 0.1
Total weight = 1,500 tons
From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse or the longest side and a, b are the two shorter sides.
To prove that the triangle is indeed a right triangle, we use the equation above.
c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400
This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
If you rationalize the denominator, you would get this expression:
which, after simplifying, looks like this:
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
Answer:
100:9
Step-by-step explanation:
If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).
Therefore:
10 : 3 ⇒ (10)² : (9)²
100 : 9 is the ratio of the areas.
hope this helps :)
