Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
Answer:
A. LCM of 6,9, and 15 is 90.
B. LCM of 3,12, and 16 is 48.
C. LCM of 8,9, and 12 is 72.
D. LCM of 24 and 18 is 72.
E. LCM of 21 and 28 is 84.
F. LCM of 19 and 42 is 798.
Step-by-step explanation:
Hope this helps! :)
Answer:
They studied for a little more than an hour?
Step-by-step explanation:
7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins
which is a little more than an hour, 15 mins more to be precise.
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection.
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
105 m = 2.5 h
x miles = 1 hour
You cross multiply since it's a proportion:
2.5 * x
105 * 1
=
2.5x = 105
Then you divide everything by 2.5
The answer is 42
