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Colt1911 [192]
3 years ago
7

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r

owing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute. about 24 min about 26 min about 44 min about 30 min
Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

\frac{4.5+5.5}{2} = 5

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = \frac{2}{4.5} = 0.44 hours

Now convert hours into minutes

0.44* 60= 26.4 minutes





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Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot
Brums [2.3K]

The area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2 option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

<h3>What is a circle?</h3>

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

\rm A = \frac{3\sqrt{3} }{2} a^2  where a is the side length.

\rm A = \frac{3\sqrt{3} }{2} 10^2 ⇒ 150\sqrt{3} \rm feet^2

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3} feet

The area of the circle a = \pi r^2  ⇒ \pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2  

The area of the shaded region = A - a

\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2

Thus, the area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2

Learn more about circle here:

brainly.com/question/11833983

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2 years ago
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