Answer:
540°
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Sum of Angles: 180(n - 2)°
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a 5-sided polygon (irregular pentagon)
n = 5
<u>Step 2: Find Sum</u>
- Substitute in <em>n</em> [Sum of Angles]: 180(5 - 2)°
- (Parenthesis) Subtract: 180(3)°
- Multiply: 540°
Answer:

Step-by-step explanation:
Hello,
a and b are the zeros, we can say that

So we can say that

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write

and we can notice that
so
![(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab](https://tex.z-dn.net/?f=%28x-2a-3b%29%28x-3a-2b%29%3Dx%5E2-5%28a%2Bb%29x%2B6%5B%28a%2Bb%292-2ab%5D%2B13ab%5C%5C%3D%20x%5E2-5%28a%2Bb%29x%2B6%28a%2Bb%29%5E2%2Bab)
it comes

multiply by 3

Answer:
2 feet and 33 inches
Step-by-step explanation:
You just divide by 12 since
12 inches = 1 foot
Answer:
7. 0.47531
8. 98.7252
9. 13238.984
10. 0.00757576
11. 15011.4286
12. Proper
13. Improper
14. 11/4
15. 33/7
16. 1 4/8 or 1 1/2
17. 3 1/6
Step-by-step explanation:
Answer:

Step-by-step explanation:
First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.
There are 4 ace in the deck
There are 16 cards of 10 points in the deck
To make this calculation we use the formula of combinations

Where n is the total number of letters and r are chosen from them
The number of ways to choose 1 As is:

The number of ways to choose a 10-point letter is:

Therefore, the number of ways to choose an Ace and a 10-point card is:

Now the number of ways to choose any 2 cards from a deck of 52 cards is:


Therefore, the probability of obtaining an "blackjack" is:




