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3 years ago

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A car travelled a distance of D =320 kilometers for T =5.0 hours at a constant rate use the formula D =R. T To find the speed (R

) of the car in km per hour Round your answer to the nearest tenth do not include the units in your answer

1 answer:

motikmotik3 years ago

5 0

The speed of car is 64 kilometer per hour

<em><u>Solution:</u></em>

Given that car travelled a distance of D = 320 km for T = 5.0 hours

To find: speed (R) of the car in km per hour

<em><u>Formula given:</u></em>

D = R. T

where "D" is the distance

"R" is the speed of car

"T" is the time taken

<em><u>Substituting the given values in above formula we get,</u></em>

$320 = R \times 5.0\\\\R = \frac{320}{5}\\\\R = 64$

Thus the speed of car is 64 kilometer per hour

We cannot round the answer to nearest tenth, since answer is not in decimal

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3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

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Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

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Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

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$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

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3 years ago

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3 years ago

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Answer:

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4 years ago

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Answer:

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3 years ago

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