If csc θ = 13/12, find sin θ.
1 answer:
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Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
The first thing we must do for this case, is to define a variable.
We have then:
w: width of the rectangle.
By definition, the area of the rectangle is the product of the length by the width.
We have then:
Substituting the value of the area we have:
Rewriting the polynomial:
When factoring we have:
Taking the positive root we have:
Then, the length of the rectangle is:
Answer:
the dimensions of the rectangle are:
width = 5.5 yd
Long = 18 yd
We have then:
w: width of the rectangle.
By definition, the area of the rectangle is the product of the length by the width.
We have then:
Substituting the value of the area we have:
Rewriting the polynomial:
When factoring we have:
Taking the positive root we have:
Then, the length of the rectangle is:
Answer:
the dimensions of the rectangle are:
width = 5.5 yd
Long = 18 yd