Use the formula
Area= base times height.
You're given that area =300cm^2 and base=20 cm.
Plug these into the equation to get 300=20 x height. Now, you just need to solve for height. To do this, you need to undo the multiplication of b x h by dividing the area by the base.
So, h = 300/20
Simplify for an answer of 15.
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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Somehow i got 2.5 guess i am wrong...
Answer:
Bianca reads a page of a book in 1 ÷ (3/4) = 1 x (3/4) = 4/3 minutes;
We have 5 1/2 = 11/2 minutes;
She reads (11/2) ÷ (4/3) = (11/2) x (3/4) = 33 /8 = 4 1/8 pages;
Step-by-step explanation:
Answer:
1) 378.1 in²
2) 8.4 m²
Step-by-step explanation:
Area of sector= 
1) Area of sector
2) Area of sector
