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3 years ago

Sean took 4 hours to travel from Town A to Town B at an

Mathematics

1 answer:

labwork [276]3 years ago

6 0

Answer:

Tina's average speed for the whole journey = 56 kmph

Step-by-step explanation:

Time taken by Sean to travel from Town A to Town B = 4 hours.

Average speed of Sean = 70 km/h

We have equation of motion, s = ut + 0.5 at²

Time, t = 4 hours.

Initial speed, u = 70 km/hr

Acceleration, a = 0 m/s²

Substituting

s = ut + 0.5 at²

s = 70 x 4 + 0.5 x 0 x 4²

s = 280 km

Distance from Town A to Town B = 280 km

Tina took 1 hour more than Sean.

Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours

We have equation of motion, s = ut + 0.5 at²

Time, t = 5 hours.

Displacement, s = 280 km

Acceleration, a = 0 m/s²

Substituting

s = ut + 0.5 at²

280 = u x 5 + 0.5 x 0 x 5²

u = 56 km/hr

Tina's average speed for the whole journey = 56 kmph

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Another friend gives you an amount per mile -- you will to calculate this value.
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So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
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Answer:

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Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

$A=\left(\dfrac{b_1+b_2}{2}\right)h$

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

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Putting it altogether:

$A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44$

So the area of our trapezoid is 44.

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