Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round:
√30 * √10 = √300
√300 = 10√3
About 245.6 miles. This is because 3.85 is about 4 hours and that times 61.4 is 245.6miles
Answer:
Yes
Step-by-step explanation:
If 2/5kg fills one third, let's multiply 2/5kg by 3 to find out how much soil the conatainer can hold.
(2/5kg)(3) = 9/5kg = 1.8kg
1.8kg>1kg, so the answer is yes