Answer:
Part 1)
Part 2)
Part 3) The diagonal of rectangle is
Part 4) The length of the diagonal of computer monitor is
Part 5) The ramp is long
Part 6) The distance between their houses is
Part 7)
Part 8) 120 feet of wire is required
Step-by-step explanation:
Part 1) we know that
To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem
where
c is the hypotenuse (the greater side)
a and b are the legs
we have
substitute
Part 2) we know that
To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem
where
c is the hypotenuse (the greater side)
a and b are the legs
we have
substitute
simplify
Part 3) we know that
To find the length of the diagonal in a rectangle apply the Pythagorean Theorem
where
d is the diagonal of rectangle
b and h are the base and the height of rectangle
we have
substitute
simplify
Part 4) we know that
To find the length of the diagonal of a computer monitor apply the Pythagorean Theorem
where
d is the diagonal of computer monitor
w and h are the wide and the high of computer monitor
we have
substitute
simplify
Part 5) we know that
To find out the length of the ramp apply the Pythagorean Theorem
where
L is the length of the ramp
x is the horizontal distance of the ramp
y is the vertical distance of the ramp
we have
substitute
Part 6) we know that
To find the distance between their houses apply the Pythagorean Theorem
where
c is the hypotenuse (distance between their houses)
a and b are the legs
we have
substitute
Part 7) we know that
The speed is equal to divide the distance by the time
so
the distance is equal to multiply the speed by the time
<em>First train</em>
speed=60 mph
time=3 hours
distance=60(3)=180 miles
<em>Second train</em>
speed=50 mph
time=3 hours
distance=50(3)=150 miles
To find out how far apart are the trains at the end of 3 hours apply the Pythagorean Theorem
where
c is the hypotenuse (distance between the trains)
a and b are the legs
we have
substitute
Part 8) we know that
For one tree is needed three wire
To find out the length of one wire apply the Pythagorean Theorem
where
c is the hypotenuse (length of one wire)
a and b are the distance above the ground and the distance from the base
we have
substitute
so
For one tree is required ----> (5)3=15 ft
therefore
For 8 trees is required
Multiply by 8
15(8)=120 ft