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Lelu [443]
2 years ago
9

a bicycle travels at a velocity of -2.33m/s and has a displacement of -58.3m how much time did it take??

Mathematics
1 answer:
sesenic [268]2 years ago
6 0

Answer:

25.02 s

Step-by-step explanation:

velocity = distance/time

rearrange for time:

time = distance/velocity

time = -58.3m/-2.33 m/s

time = 25.02s

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A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Par
Elenna [48]

Answer:

Pacific Paradise deluxe state rooms=116

Caribbean Paradise deluxe state rooms = 127

Mediterranean Paradise deluxe state rooms = 333

Step-by-step explanation:

Hi, the numbers are doubled, the correct values are:  

<em>Caribbean Paradise has 11 more deluxe staterooms than the Pacific Paradise. </em>

<em>Mediterranean Paradise has 15 fewer deluxe staterooms than three times the number of deluxe staterooms on the Pacific Paradise.  </em>

<em>Total number of deluxe staterooms for the three ships is 576. </em>

So, to solve we have to write 3 equations.

C =11 +P

M = P3-15

C+M+P =576

Where:

  • <em>C: number of Caribbean Paradise deluxe state rooms </em>
  • <em>M: number of Mediterranean Paradise deluxe state rooms </em>
  • <em>P: number of Pacific Paradise deluxe state rooms </em>

Replacing values in the total ships equation:

(11 +P) + (P3-15)+P =576

Solving for P:

11 -15 +P+P+3P =576

-4 +5P =576

5P =576+4

5P =580

P = 580/5

P=116

Replacing P in each ship's equation

C = 11 +P= 11 +(116) =127

M =3P -15 = 3 (116)-15 = 333

4 0
3 years ago
Help me please thanks
otez555 [7]

Answer:

B I THING I MIGHT GET IT WRONG!!!

Step-by-step explanation:


3 0
3 years ago
What is the area of the triangle? Please help
juin [17]

Answer:

6 square inches

Step-by-step explanation:

The formula for area of a triangle is:

1/2(b*h)

Therfore;

b=4, h=3

So,

1/2(4*3)

1/2(12)

=1/2 * 12

= 6 square inches

6 0
3 years ago
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d
nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

  • <u>Displacement A: 2.50 km and 45° north of west</u>

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

  • <u>Displacement B: 4.70 km and 60° south of east</u>

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

  • <u>Displacement C: 1.30 km and 25° south of west </u>

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

  • <u>Displacement D: 5.10 km due east (0°)</u>

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

  • <u>Displacement E: 1.70 km and 5° east of north</u>

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

  • <u>Displacement F: 7.20 km and 55° south of west</u>

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

  • Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

<em>Note: minus (-) symbol to negative directions</em>

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

R = \sqrt{Rx^{2} +Ry^{2} }

R =\sqrt{(3.28)^{2}+(-6.57)^{2} }

R = 7,34 km

To find the direction of the resultant:

tanФ = \frac{Ry}{Rx}

tanФ = \frac{6.57}{3.28}

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

Download pdf
3 0
3 years ago
Which matrices can be added together?<br> please help, thank you
sergiy2304 [10]
K with T. Same row and columns
3 0
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