<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>Let's find 'a' using Pythagoras theorem.</u>
- => 4² = 2² + a²
- => 16 = 4 + a²
- => 12 = a²
- => a = √12
- => a = √2 x 2 x 3
- => a = 2√3
- => a = 2 x √3
- => a = 2 x 1.732
- => a = 3.464 = 3.5 (Estimated)
Hoped this helped.
Answer:
The equation of the line would be y = 1/5x + 8
Step-by-step explanation:
Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.
Now we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 9 = 1/5(x - 5)
y - 9 = 1/5x - 1
y = 1/5x + 8
Answer:
x=70
Step-by-step explanation:
the angles opposite 3.5 equal 55 degrees
180-55-55=70
Answer:
C. Three
Step-by-step explanation:
We want to solve the equation for n:
14,580 = 20,000(9/10)^n
14580/20000 = 729/1000 = (9/10)^n
(9/10)^3 = (9/10)^n . . . . . . write the left side as a cube
3 = n . . . . . . equate exponents
After year 3, the value will be $14,580.
_____
You can use logarithms to find n:
log(0.729) = n×log(0.9) . . . . . . taking the log of the 2nd line above
log(0.729)/log(0.9) = n = 3
