Answer:
AY=8, XZ=20
Step-by-step explanation:
WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm
ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ = XA+ZA = 2ZA =2*10 = 20 cm
What’s the cost before the tip? We need to know that before calculating the cost with the tip.
Given:
![\frac{1}{3}v=-5](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dv%3D-5)
To get rid of the fraction, we can multiply both sides by the denominator, which is 3. This will cancel the fraction:
![3(\frac{1}{3}v)=3(-5)](https://tex.z-dn.net/?f=3%28%5Cfrac%7B1%7D%7B3%7Dv%29%3D3%28-5%29)
We are left with:
![v=-15](https://tex.z-dn.net/?f=v%3D-15)
Answer:
Therefore they are 734.106 miles apart.
Step-by-step explanation:
Given that ,
Two ships have a harbor together. The angle between two ships is 135°40'. Each of two ships travel 402 miles.
It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.
Let ∠B= 135°40', and AB = 402 miles , BC = 402 miles
Then the distance between the ships = AC
We know
The sum of all angles = 180°
⇒∠A+∠B+∠C=180°
⇒∠A+135°40'+∠C=180°
⇒2∠A= 180°- 135°40' [ since ∠A=∠C]
⇒2∠A=44°60'
⇒∠A= 22°30'
Again we know that,
![\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7Bsin%5Cangle%20C%7D%3D%5Cfrac%7BBC%7D%7Bsin%20%5Cangle%20A%7D%3D%5Cfrac%7BAC%7D%7Bsin%20%5Cangle%20B%7D)
Taking last two ratio,
![\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7Bsin%20%5Cangle%20A%7D%3D%5Cfrac%7BAC%7D%7Bsin%20%5Cangle%20B%7D)
Putting the value of BC , AC ,∠A,∠B
![\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}](https://tex.z-dn.net/?f=%5Cfrac%7B402%7D%7Bsin%2022%5E%5Ccirc30%27%7D%3D%5Cfrac%7BAC%7D%7Bsin%20135%5E%5Ccirc40%27%7D)
![\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}](https://tex.z-dn.net/?f=%5CRightarrow%20AC%3D%5Cfrac%7B402%20%5Ctimes%20sin135%5E%5Ccirc40%27%7D%7Bsin%2022%5E%5Ccirc30%27%7D)
≈734.106 miles
Therefore they are 734.106 miles apart.