Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
Step-by-step explanation:
y = 9x - 7
When x = 8
y = 9.8 - 7
y = 72 - 7
y = 65
When x = 6
y = 9.6 - 7
y = 54 - 7
y = 47
When x = 7
y = 9.7 - 7
y = 63 - 7
y = 56
When x = -8
y = 9.(-8) - 7
y = -72 - 7
y = -79
When x = 4
y = 9.4 - 7
y = 36 - 7
y = 29
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
<h3>Equation for
speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent Karen speed and b represent Melinda speed, hence:
a = b + 10
a - b = 10 (1)
Also:
a = d₁ / 1
d₁ = a
b = d₂/ 1 hour
d₂ = b
Since they are 108 miles apart, using Pythagoras:
108² = d₁² + d₂²
a² + b² = 11664
(b + 10)² + b² = 11664
b = 71.2 mph, a = 81.2 mph
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
Find out more on speed at: brainly.com/question/4931057
Answer: 27
Step-by-step explanation:
Answer:
3.33% per hour
Step-by-step explanation:
Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.
