Answer:
x= 60.1 degrees
Step-by-step explanation:
The triangle forms a right angle triangle
Opposite side of angle x = 13 ft
Hypotenuse of the triangle = 15
We know the opposite side and the hypotenuse
So we use trigonometric formula sin(x)
When we move 'sin' to the other side it becomes 'sin^-1'
x = 60.073565
So you have to solve for "donation" - so let's call that X. And the things we know are what the grandfather donated, as a function - meaning based upon - Theo's donation. We'll call that Y.
So Y is equal to 1/2 of $4 plus Theo's donation...... 0.5*(x+4).
So... 4.25 = 0.5(X+4), solving for X
4.25=0.5x + 2
-2 -2
2.25=0.5x - divide each side by 0.5 to get x alone.
x = 4.50
Plugging back in:
(4.50 + 4.00)*0.5 = 4.25!
Answer:
No! It's the fact they meet at a 90 degree angle.... Please don't answer the questions unless you know the answer... Thanks you
Step-by-step explanation:
Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
