Answer:
BC ≈ 1.40
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
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 35°
Opposite Leg BC = <em>x</em>
Adjacent Leg AC = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Tangent]: tan35° = x/2
- Isolate <em>x</em>: 2tan35° = x
- Rewrite: x = 2tan35°
- Evaluate: x = 1.40042
- Round: x ≈ 1.40
Answer:
3.16(i think)
Step-by-step explanation:
Answer:
y = 9
Step-by-step explanation:
When the line crosses y-axix, x-co ordinate = 0
y = -4*0 + 9
y = 0 + 9
y = 9
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
Answer:
Compound interest, or 'interest on interest', is calculated using the compound interest formula.
The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Step-by-step explanation: