Write a numerical expression for the verbal expression.
2 answers:
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Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = r² +
r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² +
r
188.5 = r² + 10
r
r² + 10
r - 188.5 = 0
r = = 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(
² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
$1529.8
Step-by-step explanation:
Given:
Tammy has a job that has a weekly salary of $1,200.
But wants to switch a job that has a monthly salary of $11,700
Question asked:
How much more will she make per week if she switch to the new job?
Solution:
Monthly salary of a new job, she wants to switch = $11,700
Weekly salary of a new job, she wants to switch = ?
As we know : 1 month = 4.286 Weeks
Salary of 1 month for a new job, she wants to switch = $11,700
Salary of 4.286 Weeks for a new job, she wants to switch = $11,700
Salary of 1 Week for a new job, she wants to switch =
Now, we have to find that How much more she will make per week, if she switch to the new job.
More money she will make for a new job she wants o switch = Weekly salary for a new job, she wants to switch - Weekly salary of current job
More money she will make, for a new job = $2729.8 - $1200 = $1529.8
Therefore, she will make $1529.8 more per week if she switch to the new job.