It helps to draw diagrams when working through problems like this.
Given a rectangular prism (the suitcase), drawing a diagonal through its side will give you two right triangles. You can use the Pythagorean Theorem (a² + b² = c², where c is the hypotenuse of a right triangle) to find the length of the unknown side. The hypotenuse of the triangle is the diagonal since it is the longest side, and it is opposite the right angle.
a² + b² = c²
a² + 24² = 26²
a² + 576 = 676
a² = 100
a = 10 in
Remember that this is only the side length of the triangle. To find the amount of material needed to cover one side of the suitcase, we need its area. We can find the area using the formula for area of a rectangle: A = bh.
A = bh
A = 10*24
A = 240 in²
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Answer:</h3>
240 in²
Answer:
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Step-by-step explanation:
step 1
<em>Find out the unit rate of a regular tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 2
<em>Find out the unit rate of a travel size tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 3
Find out the percent of increase
we have that
The unit rate 
represent the 100%
so by proportion
Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)
therefore
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
I believe his grandmother would get 2 1/5 of the apples.
Hope this helps
Answer:
72 degrees.
Step-by-step explanation:
We can name the measure of the angle x.
We can name the measure of the complement of it y.
Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.
Using this info, we can set up two equations.
x+y=90
x+6y=180
Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.
x+6y=180
-x -y -90
5y=90
Divide both sides by 5.
y=18
The complement is 18, now we can plug that in to find x.
x+18=90
Subtract 18 from both sides.
x=72
The measure of the angle is 72 degrees.
