In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.
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Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.
We will extend RS to 5 units and TS also 5 units.
The new resulting image would be dilated triangle by a scale factor 5/3.
Answer:
$7474.08
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
Simple Interest Rate Formula:
- A is final amount
- P is principle (initial) amount
- r is rate
- t is time (in years)
Step-by-step explanation:
<u>Step 1: Define</u>
P = 7200
r = 0.75% = 0.0075
t = 5
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute in variables [Simple Interest Rate Formula]:
- (Parenthesis) Add:
- Evaluate exponents:
- Multiply: