Answer:
Your answer is 31.4 units squared
Step-by-step explanation:
By doing 2πr, you'll get your answer.
2*3.14*5 = 2*15.7 = 31.4
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
![340(x)^{32}=420](https://tex.z-dn.net/?f=340%28x%29%5E%7B32%7D%3D420)
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
![x^{32}=\frac{21}{17}](https://tex.z-dn.net/?f=x%5E%7B32%7D%3D%5Cfrac%7B21%7D%7B17%7D)
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
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:
im going to say 23
Step-by-step explanation:
Answer:
the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)
Step-by-step explanation:
have a good day!!