Answer:
Below
Step-by-step explanation:
● cos O = 2/3
We khow that:
● cos^2(O) + sin^2(O) =1
So : sin^2 (O)= 1-cos^2(O)
● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9
● sin O = √(5)/3 or sin O = -√(5)/3
So we deduce that tan O will have two values since we don't khow the size of O.
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●Tan (O) = sin(O)/cos(O)
● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)
● tan (O) = √(5)/2 or tan(O) = -√(5)/2
Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.
We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be 
.
Upon equating both distances, we will get:
Upon substituting in equation , we will get:
Therefore, Maya live 480 miles away from the mountains.
total surface area Stot = 1180 in2
lateral surface area Slat = 920 in2
top surface area Stop = 130 in2
bottom surface area Sbot = 130 in2
Answer:
x = y/2 - 1/2
Step-by-step explanation:
you can use the slope-intercept form of a line first, then change to terms of 'x'
y = mx + b where 'm' is the slope and 'b' is the y-intercept
if we use two points on the line, such as (-1, -1) (0, 1), we can find the slope
m = 1-(-1) / 0-(-1)
m = 2/1
b = 1
Slope-Intercept form: y = 2x + 1
in terms of 'x':
2x = y - 1
x = y/2 - 1/2
