The radius of the base is 8.245 cm
Given, a vase with a circular base exerts
Pressure = 700 N/m²
Force = 15 N
Area = ?
∴ area = πr²
By finding out the area of the vase we can calculate the radius.
We know that Pressure = Force/Area
According to the equation, pressure is inversely related to area but directly related to force. Pressure rises at a constant area as the force exerted increases in strength.
therefore apply the above the formula to find out the area and radius.
700 = 15/πr²
πr² = 15/700
πr² = 3/140
r² = 3/140 × 3.14
since π value is 3.14
r² = 0.0068
r = √0.0068
r = 0.0824 m
r = 0.0824 × 100
r = 8.245 cm
we get radius as 8.245 .
Hence we get the radius of the base of the vase as 8.245 cm.
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Answer:
4.05 miles.
Step-by-step explanation:
See the attached diagram. (not in scale)
Let AB is the Clayton Road and its length is 2.35 miles and BC is the Wood Pike Road and it is 1.7 miles long.
So, the combined length of Clayton Road and Wood Pike Road is AC (= AB + BC)
So, the length of AC will be (2.35 +1.7) miles = 4.05 miles. (Answer)
9514 1404 393
Answer:
no
Step-by-step explanation:
A function will not have a repeated x-value. Here, the value 2 shows up twice in the X column. The relation is not a function.
Given:
The given statement is: 
increased by 
.
To find:
The algebraic expression for the given statement.
Solution:
We know that "+" sign is used when a value increased.
It is given that increased by . So, it can be written as:
increased by 
Therefore, the required algebraic expression is 
.
9514 1404 393
Answer:
n = 8
Step-by-step explanation:
12 = 2² · 3
20! = 2¹⁸ · 3⁸ · [larger primes]
The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.
n = 8
