Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
34/18 = 1.8.....so he can fill 1 glass full...with 16 qts left over
Answer:
5-46i
Step-by-step explanation:
1. Multiply (10-4i) and (4-5i), I recomnd using foil:
40-50i-16+20i^2 + (-15+20i)
2. Remove the parenthesis around -15+20i
*we can do this since there is a "+":
40-50i-16+20i^2 + (-15)+20
3. Simplify i^2
* i^2 is -1 by textbook defination:
40-50i-16+20(-1) + (-15)+20
4. Simplify
40-50i-16-20 + (-15)+20
6. Combine like terms:
-5-50i-16i+20i
5-46i
And the problem is done
Answer:
Area of Pool cover: 110.25π
Length of rope: 21π
Step-by-step explanation:
To find the area of a circle the formula is πr^2.
1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π
To find the length of the rope(circumference) the formula is 2πr.
1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π
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If ur teacher wants you to use 3.14 as pi then these are your answers:
Area of Pool cover: 346.185, round up to 346.19 if needed
Length of rope: 65.94
