Answer:
Area of rectangle: 256
Area of triangle 1: 24
Area of triangle 2: 16
Area of triangle 3: 96
Area of trapezoid: 120
Step-by-step explanation:
I just did the question on the thing so Ik I'm right.
-The graph measures by twos. To get the area of the rectangle get the base times height of it. That would be 16x16=256.
-Get base (8) times height (6) of triangle 1 then divide by 2, remember to count the squares by 2 for finding all areas. The formula would be 1/2(b)(h) because dividing by 2 is the same as multiplying times 1/2. Plug it in and (8)(6)=48 then divide by 2 which equals 24.
-Same formula for triangle 2. Plug it in and (8)(4)=32 and divide by 2 and it equals 16.
-Same formula for triangle 3. Plugged in is (12)(16)=192 divide by 2 and it equals 96.
-To find the area of the trapezoid get your rectangle area (256) and subtract all the triangle areas. So 256 - 6 - 16 - 96 = 120.
Answer:
The number of ways is equal to 
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are 
ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒
<u>N 2 3 N N 5 4 N N 1 </u><u> </u><u>next </u><u>to the statements that should not be used.</u>
What is sequence and example?
- A sequence is an ordered list of numbers . The three dots mean to continue forward in the pattern established.
- Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
sequence
- The statement is true for n = 0 because 0 is divisible by 3.
- Now suppose we have proved the statement for some n element of N This means that 4^n -1 = 3k for some integer k..
- We now consider the quantity 4^n+1 -1 = 4 . 4^n - 1 = 3 . 4^n + 4^n - 1
- We use the inductive hypothesis to simplify that equation to 4^n+1 - 1 = 3 . 4^n + 3k = 3 (4^n + k).
- We have thus shown that 4^n+ 1- 1 is a multiple of 3.
Learn more about sequence
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Answer:
x^3 - 5 x^2 + 2 x + 8 = 0
Step-by-step explanation:
Solve for x over the real numbers:
x^3 - 5 x^2 + 2 x + 8 = 0
The left hand side factors into a product with three terms:
(x - 4) (x - 2) (x + 1) = 0
Split into three equations:
x - 4 = 0 or x - 2 = 0 or x + 1 = 0
Add 4 to both sides:
x = 4 or x - 2 = 0 or x + 1 = 0
Add 2 to both sides:
x = 4 or x = 2 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 4 or x = 2 or x = -1
