The Law of Cosines is useful for this.
d² = e² + f² - 2ef·cos(D)
cos(D) = (e² + f² - d²)/(2ef) = (1.8² + 3.1² - 2²)/(2·1.8·3.1)
D = arccos(8.85/11.16)
D ≈ 37.5°
Answer:
n < 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(n + 3) - 4 < 6
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Addition Property of Equality] Add 4 on both sides: 2(n + 3) < 10
- [Division Property of Equality] Divide 2 on both sides: n + 3 < 5
- [Subtraction Property of Equality] Subtract 3 on both sides: n < 2
Here we see that any value <em>n</em> smaller than 2 would work as a solution to the inequality.
Answer: graphing calculator!
Step-by-step explanation: if you’re looking for the square root of a # that isn’t a perfect square (ie. sqrt4, sqrt 36) then you have to use a calculator for that. however the idea behind square roots is just a # multiplied by itself to give the original #. just ask yourself “what can i multiply by itself to get the original number”. hope that helped !
Answer:
c
Step-by-step explanation:
Let m = the total number of medals.
To find the total number of medals we can use either of the clues they gave us.
If Tara's team received 8 medals and that was 1/3 of the medals. That must mean that:
m x 1/3 = 8
What number divided by 3 is 8? Well, that is 24. Thus, the total number of medals is 24.
Note: we can check to see if 1/2 of 24 is 12, the total number of medals Jennifer team received, and it checks out!