Given:
m∠C = 65°
b = 5
c = 6
Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°
Answer: m∠B = arcsin(0.7553) = 49° (approx)
Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 4
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 4 = -x + 5
- Add <em>x</em> to both sides: 3x - 4 = 5
- Add 4 to both sides: 3x = 9
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 5
- Substitute in <em>x</em>: y = -3 + 5
- Add: y = 2
Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u /> = Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u /> = Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u /> = Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u /> = Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u /> = Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000
Given :
Multiplying and Dividing with (2 + 5i)
We know that i² = -1
Option C is the Answer
You will use the formula to calculate simple interest for each period of time and then subtract the two amounts to find how much Ward will save.
I=prt
I = 20000 x 0.025 x 3
I = $1500 over 3 years
I = 20000 x 0.025 x 5
I = $2500 over 5 years
$2500-$1500 = $1000 in savings