Answer:
Step-by-step explanation:
time = 49 hours
speed = 7 miles/hour
speed = distance / time
∴ distance = speed × time
= 7 × 49
= 343 miles
no solutions → C
The 2 given lines are parallel and never intersect thus no solution
Answer:
h ≈ 11.9
Step-by-step explanation:
Since the triangle is right we can use the cosine ratio to find h
cos24° =
= 
Multiply both sides by 13
13 × cos24° = h
⇒ h = 11.9 cm ( to 1 dec. place )
Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
Answer:
Option A.
Step-by-step explanation:
If Caleb makes a down payment.,it will reduce the total cost of the loan, since he would be paying part of it "in advance" and lowering the payment amounts.