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Sophie [7]
3 years ago
14

Robin rides a personal watercraft 75° west of south at 70 miles/hour. the water current is moving 6 miles/hour at an angle of 75

° south of west. what is the actual speed (rounded to the nearest hundredth) of robin's watercraft?
Mathematics
2 answers:
Artist 52 [7]3 years ago
5 0
Hi, thank you for posting your question here at Brainy.

The path of the watercraft and the water current, when joined by a line forming a right angle would make a right triangle. From here, we can know the component in which it is along the same direction with the watercraft. Let's denote this as x.

x = 6 miles/h * cos 75 degrees
x = 1.55 miles/h

Thus, the actual speed = 70 + 1.55 = 71.55 miles/h
Olin [163]3 years ago
3 0

Answer:

Actual speed = 73.18 m/s

Step-by-step explanation:

Let positive x axis represent east and positive y axis represent north.

Robin rides a personal watercraft 75° west of south at 70 miles/hour.

Velocity of personal watercraft = 70 miles/hour at 75° west of south

                                                    = 70 miles/hour at 15° south of west

                                                    =  -70 cos 15 i + -70 sin 15 j

                                                    = -67.61 i - 18.12 j

The water current is moving 6 miles/hour at an angle of 75° south of west.

Velocity of  water current = 6 miles/hour at 75° south of west

                                           = 6 miles/hour at 75° south of west

                                           =  -6 cos 75 i + -6 sin 75 j

                                           = -1.55 i - 5.80 j

Total velocity = -67.61 i - 18.12 j -1.55 i - 5.80 j = -69.16 i - 23.92 j

\texttt{Actual speed =}\sqrt{(-69.16)^2+(-23.92)^2}=73.18m/s

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kondor19780726 [428]

Answer:

No. It can be obtuse angle are angles greater than 90° but less than 180°

And for an isosceles triangle, two angles must be equal so if two angles are greater than 90° that mean the sum of angle in a triangle is above 180° which is not possible

Step-by-step explanation:

5 0
2 years ago
Graph ∆KLM with vertices K(2,2), L(0,- 1), and M(-3,2). Graph ∆K'L'M' with a scale factor of 2. What are the coordinates of the
olasank [31]

Answer:

The coordinates of the new vertices are:

K'(4,4), L'(0,- 2), and M'(-6,4).

Step-by-step explanation:

In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.

K(2,2), L(0,- 1), and M(-3,2)

K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).

Now become...

K'(4,4), L'(0,- 2), and M'(-6,4).

You can now graph ∆K'L'M' using these coordinates.

5 0
2 years ago
Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

r\approx 31.83

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0
3 years ago
PLEASE HELP ASAP! :)
Aleks [24]
One is 7 and the other is 8 because 7 squared is 49 and 8 squared is 64. 
8 0
3 years ago
Solve the following equations for x<br><br> 13−(2x+2)=2(x+2)+3x
Montano1993 [528]

Answer:

x = 7

Step-by-step explanation:

Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x

Combine like terms on each side of the equation: 11 - 2x = 5x + 4

Add 2x to both sides, and subtract 4 from each side: 7 = 7x

Divide both sides by 7: x = 7

4 0
3 years ago
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