5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
<h3>What number must be an integer multiplied by to find a perfect square? </h3>
A number is a <em>perfect</em> square if the following property is satisfied:
a = b², where is a <em>natural</em> number.
Please notice that b can be either a <em>prime</em> number or a product of <em>prime</em> numbers.
Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of <em>prime</em> numbers:
35280 = 2⁴ × 3² × 5 × 7²
35280 = (2²)² × 3² × 5 × 7²
35280 = 4² × 3² × 5 × 7²
Then, we must add a 5 to find a product that is a perfect square:
4² × 3² × 5² × 7² = 176400
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
To learn more on prime numbers: brainly.com/question/9315685
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A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour.
Let's solve how much does it cost to have a bulb on
for an hour.
=> 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per
=> 0.1 kilowatt per hour * 0.20 = 0.02 dollars in an hour.
To find the next number just multiply the previous number by 4:
So in order to find the next number multiply 128 by 4 = 512
The next number in the sequence is 512
Hope i could help
HAVE A GREAT DAY <3
Answer:
The area of a horizontal cross section at a height is 
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
Put the value into the formula
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
Put the value into the formula
Hence, The area of a horizontal cross section at a height is
