Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
12 gallons of gas can be bought from $30 where gas costs $2.42 per gallon.
<u>Solution:</u>
The gallons of gas bought can be calculated by dividing the total amount possessed by cost of gas per gallon.
Here total amount possesses is $30 and cost of gas per gallon is $2.42.
Gallons of gas bought =
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
42x+18y
Is probably the correct answer
Answer:
The length of the tunnel is 7.66667 inch
Step-by-step explanation:
We are given
1 inch =60 miles
now, we can find for 1 mile
so,
60 miles = 1 inch
we get
we are given
total length is 460 miles
so, we can multiply both sides by 460
now, we can simplify it
So,
The length of the tunnel is 7.66667 inch