Answer:
Step-by-step explanation:
Law of Sines recall Sin(A) /a = Sin(B) /b
does the above make sense?
Next we need to find the angle of A
notice that 16+75=91 :o
so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180) so this is NOT a right triangle but that's okay, b/c law of sines still works fine.
then we want to find length of line AB
and if 89 = A then a = BC
and if 75 = B the b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and lower case b much easier than you can with C, & c :/ )
capitals are the angles while lower case are the length of the sides
then
Sin(89) / 29 = Sin(75) / b
solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .
0.034477 = 0.965925/ b
b = 0.965925 / 0.034477
b = 28.0165
b = 28.0 ( to the nearest 10th)
we have the parts to plug in now
Sin(75) /
The answer would be 180 because the sum of the exterior angles would equal 360 and 360 divided by 120 equals 3 so that means there are 3 sides. Next you find out how much the interior angle is worth by subtracting it from 180 because they're supplementary you would find that the interior angle is equal to 60 degrees then multiply 60 degrees by how many sides there are (3) which equals 180 degrees.
Answer:
507.60
Step-by-step explanation:
42.30 X 12 = 507.60
Answer:
the distance covered is 11.25 km
Step-by-step explanation:
Given that
The speed of the bicycle is 15 km/h
And, the time taken of the bicycle is 45 minutes
We need to determine the distance covered
As we know that
Speed = Distance ÷ Time
So, distance = Speed × time
= 15 km /h × 0.75 hours
= 11.25 km
The 0.75 hours come from
= 45 minutes ÷ 60 minutes
= 0.75 hours
Hence, the distance covered is 11.25 km
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =
diameter = 3 inches
radius = 3/2 inches
height = 8 inches
V = 22.7 * (3/2)²* 8
V = 22.7 * 9/4 * 8
V = 22.7 * 18
maximum volume a cone can have = 1/3 of cylinder
Volume of cone = 1/3 * 22.7 * 18
= 22.7 * 6
= 132.6
