Answer:
F=10, S=26
Step-by-step explanation:
We know that the base is 24. Using that information, 10^2+24^2=26^2 which is a pythagorean triple
Answer:
15 tables
Step-by-step explanation:
Chairs = $200
Tables = $600
Maximum items = 39
Minimum sales = $13,000
If 20 chairs are sold, revenue is $4,000. At least $9,000 in additional revenue is required. To earn $9,000, a minimum of 15 tables would need to be sold, which is fine since a maximum of 19 tables is permitted to be sold.
We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.
We know that formula for permutations is given as
On substituting the given values in the formula we get,
Therefore, there are 39270 ways in which prizes can be awarded.
The distributive property states that:
a(b+c)=ab+bc.
or more generally: a(b+c+d)=ab+av+ad.
This is a very useful tool to perform multiplication.
For example, if we want to multiply 7 by 234, we can proceed as follows:
7*234=7(200+30+4)=7*200+7*30+7*4=1400+210+28=1610+28=1638
back to our problem,
4 * 24 = 4(20+4)=4*20+4*4=80+16=96 ($)
So, instead of multiplying 4 by 24, we multiplied 4 by 20 and 4, which is easier, and then added these together.
Answer:
4 * 24 = 4(20+4) [=4*20+4*4=80+16=96 ($)]
Two lines are perpendicular if and only if the product of their slopes is - 1.
So, you just need to find the slope of each line and find out the product of their slopes.
I will do one example for you.
L1: y = 3x + 5
L2: y = - 3x + 14
L3: y = -x/3 + 14
The slope of a line is the coefficient of the x.
So the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
