Answer:
A
Step-by-step explanation:
Find the shared side for AAS
21 spools* (6.75 m/ 1 spool)= 141.75 m.
141.75 m* ($2/ 1 m)= $283.5
The total cost if the ribbon is sold for $2 per meter is $283.5
I hope this helps
S=d/t ⇒d=s*t
s=speed
d=distance
t=time
The first train :
d=x
x=70 miles/h*t ⇒ x=70t (1)
The second train
d=360 miles - x
360 miles - x=80 miles/h*t ⇒360-x=80t ⇒ x=360-80t (2)
therefore, with the equations (1) and (2) we have a systeme of equations:
x=70t
x=360-80t
we can solve this system of equations by equalization method.
70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4 (≈2 hour 24 minutes)
Answer: the first train meet with the second train in 2 hour 24 minutes.
Answer:
Therefore the value of ∠
is
°.
Therefore the value of ∠
is
°.
Step-by-step explanation:
Given that,
is a triangle.
,
, and ∠
°
and we have to find the value of ∠
.
Diagram of the Δ
is shown below:
Now,
According to Law of Sine, ![\frac{m}{sinM} =\frac{n}{sinN} =\frac{o}{sinO}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7BsinM%7D%20%3D%5Cfrac%7Bn%7D%7BsinN%7D%20%3D%5Cfrac%7Bo%7D%7BsinO%7D)
⇒ ![\frac{m}{sinM}=\frac{n}{sinN}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7BsinM%7D%3D%5Cfrac%7Bn%7D%7BsinN%7D)
⇒ ![\frac{94}{sin62} =\frac{49}{sinN}](https://tex.z-dn.net/?f=%5Cfrac%7B94%7D%7Bsin62%7D%20%3D%5Cfrac%7B49%7D%7BsinN%7D)
⇒ ![\frac{94}{0.88295} =\frac{49}{sinN}](https://tex.z-dn.net/?f=%5Cfrac%7B94%7D%7B0.88295%7D%20%3D%5Cfrac%7B49%7D%7BsinN%7D)
⇒ ![sinN\times94=49\times0.88295](https://tex.z-dn.net/?f=sinN%5Ctimes94%3D49%5Ctimes0.88295)
⇒ ![sinN=\frac{43.26455}{94} =0.46026](https://tex.z-dn.net/?f=sinN%3D%5Cfrac%7B43.26455%7D%7B94%7D%20%3D0.46026)
⇒ ![N=sin^{-1}(0.46026)](https://tex.z-dn.net/?f=N%3Dsin%5E%7B-1%7D%280.46026%29)
∴∠
°
Therefore the value of ∠
is
°.
In Δ
,
∠
∠
∠
° [Angle sum property]
⇒
°
°
∠
°
⇒ ∠
°
Therefore the value of ∠
is
°.
answer:
speed= 72 km - per • hour