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3 years ago

I need help pleaseee

Mathematics

1 answer:

slava [35]3 years ago

4 0

9514 1404 393

Answer:

297 miles

Step-by-step explanation:

The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.

That distance is the sum of distances from X to Z and Z to Y. Then ...

XZ +ZY = XY

27 +ZY = 324

ZY = 297

It is 297 miles from City Z to City Y.

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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the

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Answer:

The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

$(AB)^2=(BC)^2+(AC)^2$

$(13)^2=(BC)^2+(5)^2$

$169=(BC)^2+25$

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$\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin A=\frac{BC}{AB}$

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Bisector divides the angle in two equal parts, therefore,

$A'=\frac{67.38}{2} =33.69$

In triangle ACD.

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$\cos A'=\frac{AC}{AD}$

$\cos (33.69^{\circ})=\frac{5}{AD}$

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Therefore the length of the angle bisector of angle ∠A is 6.01.

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