Answer:
c is the answer
Step-by-step explanation:
Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
Answer:
D
Step-by-step explanation:
The solution is B. In each equation, it uses parenthesis to group operations. On the left, each pair repeats one number either 1.6 and 4.2. On the right is written the reduced form by writing the expression with a greatest common factor.
Option A is incorrect since 1.6 is not the GCF which appears in each parenthesis.
Option B is incorrect because the operation in the parenthesis is multiplication and not addition.
Option C is incorrect because 1.6 as a GCF is applied using multiplication.
Option D is correct since 1.6 does occur as a GCF in each parenthesis. It also has written correctly (4.2 +7) since addition is the operation between the parenthesis.
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
8:14 am
8:18 am
8:22 am
and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.
Now total number of trains=6+5=11 trains
Answer: 11 trains will pass on complete circuit.
