Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
3/12=4 so 4 times 4 is 16 so there are 16 players in all
4 = 4/1
When dividing fractions, we follow a rule called keep, change, flip.
7/8 * 1/4 = 7/32
7/32 is the simplest form.
Answer:
4.71 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the above question,
r = QR = 3 units
θ = angle QRS= 90 = 90°
The length of the arc is calculated as:
2 × π × 3 × 90/360
= 4.7123889804 units
Approximately to the nearest hundredth = 4.71 units