Answer:
90° counterclockwise rotation
Plot the situation
Answer:
The Consecutive number are 46 , 47 and 48 having sum as 141
The smallest number is 46
Step-by-step explanation:
• A consecutive numbers means number are in a sequence and are one after the another !
e.g. n , (n+1). Or 1 , 2 are consecutive numbers
• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !
• If the number is divisible by x we must had taken number as n , ( n + x ) ,
( n + 2x )
• Let the numbers be ( n - 1 ) , n and
( n + 1 )
Given ,the sum of numbers is 141
n - 1 + n + n + 1 = 141
3n = 141
n = 141/3
n = 47
So, the numbers are
n- 1 = 47 - 1 = 46
n = 47
n + 1 = 48
And , the smallest number is 46
• Verification :-
46 + 48 + 47 = 141
Which satisfies the given condition !!
Hence , verified !!
In order to make back the money they spent ($1,137.50) plus $1500, they want to make
$2,637.50 total.
They want to make this amount by selling 350 agendas, so divide the amount they want to make by 350 to find the amount per book:
I rounded the answer to the nearest hundredth because the hundredth is the smallest amount we have in USD (the penny.)
So they need to charge at least $7.54 to make back their money plus $1500.
Hope I helped, and let me know if you have any questions :)
Answer:
The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 5x + 4
g(x) = 9
<u>Step 2: Solve for </u><u><em>x</em></u>
- Substitute in function value: 9 = 5x + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
- [Division Property of Equality] Divide 5 on both sides: 1 = x
- Rewrite: x = 1
∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.
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Topic: Algebra I
Answer: About
Step-by-step explanation:
The missing figure is attached.
Notice in the first picture that Alberta has a complex shape.
You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.
Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.
The area of the trapezoid can be calcualted with the formula:
Where "h" is the height, "B" is the long base and "b" is short base.
And the area of the rectangle can be found with the formula:
Wkere "l" is the lenght and "w" is the width.
Then, the apprximate area of Alberta is:
Substituting vallues, you get:
Therefore, the area of of Alberta is about .