Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height.
A=h(a+b)/2 and since we have two identical trapezoids the total are will be
A=h(a+b) in this case
A=15(32+25)=855mm^2
I believe you should try to plug in the ordered pair to see if the solutions work.
The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.
Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.
Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.
(16,-3) is a solution to both equations.
Hope this helps!
Answer: 0.4207
Step-by-step explanation:
Let 
be the sample mean area.
Given: Population mean : 
sq. feet
Standard deviation: 
sq. feet
Sample size : n= 10
The probability that the sample mean area is 
or less if the manufacturer’s claim is true.
Required probability = 0.4207
<u>Answer with Step-by-step explanation:</u>
We are given two tables and we are to complete the missing values.
For table one, we are to substitute the given values of x in the term 
:
when x = 0, 
when x = 2, 
when x = 4, 
For table two, we are to substitute the given values of x in the term 
:
when x = 0, 
when x = 2, 
when x = 4, 
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = 
The number of pieces of rolls in each plate = 
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
