Answer:
The length of third sides of the triangle is 2.65 units.
Step-by-step explanation:
It is given that triangle had two sides of length 2 and 3 and that the angle between there two sides is 60.
a = 2 units, b = 3 units and angle C = 60°.
Law of Cosine:




Square root both sides.

Therefore the length of third sides of the triangle is 2.65 units.
Answer:
38.46 (Rounded: 38.5)
Step-by-step explanation:
67.32-2(14.43)=38.46
Since south and west are at 90 degree angle that means we can use pythagorean theorem to find the distance.
It goes like this:
c^2 = a^2 + b^2
a = 3
b = 4
implementing this in pythagoras formula we get that c = 5
answer is 5 miles southwest
Answer: 14 cakes
Step-by-step explanation:
We have the following data:
Number of gallons the baker has: 
Number of cups the baker used for one cake: 
Now, we can use the Rule of three to find the maximum number of cakes the baker can completely decorate:
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Then:


Answer:
Decimal: n = 3.5
Fraction: n = 7/2
Step-by-step explanation:
6n = 21
n = 21/6
n = 7/2
n = 3.5