Answer:
tan∠Y = 2,14
Step-by-step explanation:
First , we need to determine XY
in order to do that we use the Pythagorean theorem :
XY = √(85^2-77^2) = 36
tan∠Y = 77/36 = 77÷36 = 2,138888888889
Answer:
A. x = 1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
- Standard Form: ax² + bx + c = 0
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² + 3 = 4x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Rewrite in standard form: 4x² - 4x + 1 = 0
- Factor: (2x - 1)² = 0
- Solve: x = 1/2
In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .
First we have to find the relationship between those two angles .
And these angles are vertical opposite angles which are congruent .
Therefore
Therefore measurement of angle USW is
First account
interest = 6/12 × 5.25% × 4,000
interest = 1/2 × 5.25/100 × 4,000
interest = 1/2 × 210
interest = 105 dollars
Second account
interest = 6/12 × 6% × 2,000
interest = 1/2 × 6/100 × 2,000
interest = 1/2 × 120
interest = 60 dollars
After 6 months, the first account will have earned more interest than the second account
8x^2 -3 = 2
add 3 to each side
8x^2 = 5
divide by 8
x^2 =5/8
take the square root of each side
x = +- sqrt (5/8)
