Answer:
Fran's upstream speed (against the current):
2.9 km/hr - 0.1 km/hr = 2.8 km/hr
Fran's downstream speed (with the current):
2.9 km/hr + 0.1 km/hr = 3.0 km/hr
Using the distance formula for calculating time:
rate x time = distance
time = distance / rate
Fran's upstream time = 9 / 2.8 = 3.21 hrs
Fran's downstream time = 9 / 3.0 = 3.0 hrs
Answer:
The area of the deck after she doubles the length and width will be of 384 square feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
Doubling length and width:
If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:
That is, if both dimensions are doubled, the area is multiplied by 4.
What will the area of the deck be after she doubles the length and width?
Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.
96*4 = 384
The area of the deck after she doubles the length and width will be of 384 square feet.
Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.
Answer:
West.
Step-by-step explanation:
An old treasure map has the following instructions: stand next to the black rock and face west. Walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse your directions and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards. To determine in which direction you are now facing, the following logical reasoning must be carried out:
You start by walking 20 yards west, then turning 90 degrees clockwise, turning south. Then you walk 10 yards and turn counterclockwise 45 degrees, to the southwest. Later, you walk another 15 yards, turn the direction to the northeast, and walk 5 more yards. From the northeast turn 135 degrees clockwise to the west and walk 10 yards. Thus, the final sense in which the person is walking is to the West.
