Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
Answer:
The first job pays more
Step-by-step explanation:
950 x 3 = One month pay = 2,850
2,859 x 12 = One year = 34,308 Per Year
Comparing them both
$45,000 One Year, First Job
$34,308 One Year, Second Job
Hello there! The answers are -2x and -5x.
Like terms are terms that have the same x values and exponential values. Out of the options you have provided, the only terms that have like terms are -2x and -5x since they both have a value of x to the first power. 2 and 6x^2 both have different exponential values of x, so they are not like terms.
I hope this helps and have a great rest of your day!
The first eqaution is multiplying the first number by 5 then the next is multiplying the first number by 6 then 7 i believe the last one would be 8x8 which is 64
Answer: The correct answer is 3
Step-by-step explanation:
4³ = 64
The way to check your work is to multiply 4 x 4 x 4:
16 x 4 = 64