Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
PR =
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
Answer:
<em>28 ; 76 ; 38</em>
Step-by-step explanation:
<em>KL</em> = =
= <em>28</em> units
<em>YZ</em> = 2 × JK = 38 × 2 = <em>76</em> units
<em>LZ</em> = 76/2 = <em>38</em> units
Answer: Fourth option.
Step-by-step explanation:
By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).
Given the first table:
You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.
The second table is:
You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.
The third table is:
You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.
The fourth table is:
You can notice that each input value has only one output value. Therefore, this table represents a function.