Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
Answer:
a) 720
b) 60$
Step-by-step explanation:
a) each person is served 3 pancakes and there are 240 people, 240 x 3 = 720.
b) Each bag of mix costs 10$ and can make 120 pancakes, but we need 720 pancakes, which means six bags of mix (since 120x6 = 720). Since each cost 10$, 10 x 6 = 60$
Answer:
Short piece: 9 ft
Long piece: 41 ft
Step-by-step explanation:
The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.
The equations we have from the problem statement are:
L = 5+4x where L represents the length of the long piece and x represents the length of the short piece
x + L = 50
Substituting the equation for the long piece into the equation for total length:
x + (5+4x) = 50
5 + 5x = 50
5x = 45
x = 9 ft
Substituting x = 9 into the equation for the long piece:
L = 5 + 4(9)
L = 5 + 36
L = 41 ft
Checking the answers by substituting x = 9 and L = 41 into the equation for total length:
x + L = 50
9 + 41 = 50
50 = 50
Answer: 
This is the same as 
All we're doing is adding 'a' and 
since the term "sum" is the result of adding two or more numbers.
One quarter of a number is the same as dividing by 4.
Example: one quarter of 28 = 
Answer:
Step-by-step explanation:
- The first question's slope is 0 because it is a straight horizontal line
- The second question is undefined because it is a straight vertical line
- The third question's slope isn't able to be found with a blank line, but the line is positive because the more it travels right, it also goes up. So the slope of the third is positive
- The fourth is similar to the third as its slope cannot be calculated with a blank line, but the more it moves right, the more it moves down, meaning the slope is negative.
