5x-3=42. To solve you add three to both sides making the equation 5x=45. Then you divide both sides by five, and you get 9 as your answer.
Answer:
193.53 miles
Step-by-step explanation:
Please see the diagram for understanding of how the angles were derived,
Applying Alternate Angles, ABO =77 degrees
The bearing from B to C is 192=180+12 degrees
Subtracting 12 from 77, we obtain the angle at B as 65 degrees.
We want to determine the boat's distance from its starting point.
In the diagram, this is the line AC.
Applying Law of Cosines:

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).
Step-by-step explanation:
Pi (Ratio of the Circumference of a Circle to Its Diameter) Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).
Answer:
86 is a term in the sequence
Step-by-step explanation:
2; 6; 10; 14; 18;.....
T1=1*4-2=2
T2=2*4-2=6
T3=3*4-2=10
T4=4*4-2=14
T5=5*4-2=18
......................
Tn=n*4-2
n*4-2=86
n*4=88
n=88/4
n=22
86 is T22 in the sequence.
Answer:
0.66 = 66%
Step-by-step explanation:
If we know that a odd-numbered disk is selected, we know that the number is 1, 3 or 5.
So, if it is a red disk, is can be number 1 or 3, so we have two possibilities.
If it is a yellow disk, it needs to be number 5, so we have just one possibility.
We have a total of 3 possibilities, and 2 of them are with red disks, so the probability is 2/3 = 0.66 = 66%