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nlexa [21]
3 years ago
9

As an estimation we are told 5 miles is 8 km covert 12 km to miles

Mathematics
1 answer:
eduard3 years ago
4 0

Step-by-step explanation:

5miles=8km

? =12

5miles×12km=?×8km

60km miles=?×8km

?=60miles÷8

?=7.8miles

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Compare the perimeters of the two regular figures. Which statement is true?
adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be=\frac{(n-2){\timeS}180^{\circ}}{6}

=\frac{(6-2){\timeS}180^{\circ}}{6}

=\frac{(4){\timeS}180^{\circ}}{6}

=120^{\circ}

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

\frac{MP}{MQ}=cos60^{\circ}

MP=\frac{1}{2}

Thus, the perimeter of the hexagon is:

P=12{\times}MP

P=12{\times}\frac{1}{2}

P=6 units

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be=\frac{(n-2){\timeS}180^{\circ}}{8}

=\frac{(8-2){\timeS}180^{\circ}}{8}

=\frac{(6){\timeS}180^{\circ}}{8}

=135^{\circ}

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore {\angle}PAC=cos\frac{135}{2}.

From ΔAPC, we have

AC=cos\frac{135}{2}

Now, Perimeter of octagon is:

P=16{\times}cos\frac{135}{2}

P=16{\times}0.382

P=6.122 units

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0
3 years ago
Y = 8x + 10<br><br> y = 2<br><br> whats the substitution ?
viva [34]

Answer:

Look at the explanation.

I'll be online so let me know if you still need help.

Step-by-step explanation.

A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.

The substitution is basically plugging in the y value to y = 8x + 10

If y = 2

and also y = 8x + 10

What do you think the substitution is?

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16=8
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