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Inga [223]
3 years ago
10

Kayden wants to ride his bicycle 29.5 miles this week. He has

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer: 5.5

Step-by-step explanation:

3m+13=29.5

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See question in image and show workings​<br><br>Note : 1 nautical mile = 1.86km
ycow [4]

Answer:

a)

AB is on the latitude 30°N.

<u>Find AB:</u>

  • AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

<u>Find BC:</u>

  • BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

<u>Total distance traveled:</u>

  • 6482.15 + 5585.77 = 12067.92 km

<u>Convert the distance to nautical miles:</u>

12067.92/1.86 = 6488.13 nautical miles

b)

<u>Find the average speed:</u>

  • 6488.13/22 = 294.92 nautical miles / hour

<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>

3 0
2 years ago
1/2+2/3 divided by 1/6
pentagon [3]

Answer:

4 1/2

Step-by-step explanation:

Just do the math work it out on paper and check it!

3 0
2 years ago
Read 2 more answers
Where do you find the solution to a system of liner equations??
oksano4ka [1.4K]

Answer:

The intersection of both lines.

7 0
3 years ago
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HELLO! SOS!!! PLEASE HELP ME!!! THANK YOU SO MUCH!!! WILL MARK BRAINLIEST!! WORTH 25 PTS!! THANK YOU AGAIN!!
lozanna [386]

Answer:

16.5 =x

Step-by-step explanation:

Since this is a right triangle, we can us trig functions

tan theta = opp side / adjacent

tan 70 = x /6

Multiply each side by 6

6 tan 70 = x

16.48486452 =x

To the nearest tenth

16.5 =x

4 0
3 years ago
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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
3 years ago
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