Answer:
2 ; 10
Step-by-step explanation:
a + B = 12
a - B = 8
a = 12 - B
(12 - B) - B = 8
a = 12 - B
12 - 2B = 8
B = 2
A = 10
The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
- A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
- how long will it take the boat to travel 36 miles downstream and 36 miles upstream?
The time taken by the boat upstream will be calculated as:-
( B + W ) Td = D
( 12 + 3 ) Td = 32
( 15 ) Td = 32
Td = 32 / 15 = 2.1 hours
The time taken by the boat downstream will be calculated as:-
( B - W ) Tu = D
( 12 - 3 ) Tu = 32
9 Tu = 32
Tu = 32 / 9 = 3.56 hours.
Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
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Answer:
x= -5, -12
Step-by-step explanation:
Answer:
42 square centimeters
Step-by-step explanation:
The total of sides FA and AB will be half the perimeter of the rectangle, or 14 cm. Since AB is 9 cm, that means FA is 5 cm.
EF is the difference between EF and FA, so is 11 cm -5 cm = 6 cm.
FC is the same 9 cm length as AB, so we have enough information about the trapezoid to use the area formula:
A = (1/2)(b1 +b2)h
A = (1/2)(9 cm +5 cm)(6 cm) = 42 cm^2
The area of the trapezium is 42 cm^2.
Answer:
6 and -14
Step-by-step explanation:
Area of the triangle = 1/2 ab
42 = 1/2 (x)(x+8)
42 *2 = x(x+8)
84 = x²+8x
x²+8x-84 = 0
x²+14x-6x-84 = 0
x(x+14)-6(x+14) = 0
x-6 = 0 and x+14 = 0
x = 6 and -14
Hence the values of x are 6 and -14