The product of √3 and 5√3 in its simplest form is 15.
<h3>What is a rational number?</h3>
A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
To determine the product of √3 and 5√3
So, (√3 )(5√3)
⇒ 5 (√3 )(√3 )
⇒ 5(3)
⇒ 15
The result is rational because 15, can be expressed as a ratio of two integers can be 15/1 of two integers, a numerator 15, and denominator 1 ( which is a non-zero).
Thus, the result is rational.
Learn more about rational numbers here:
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Answer:
A. FALSE
Step-by-step explanation:
pls mark me as brainliest
That correct answer is 0.0625
Answer:
D. The plane needs to be about 27 meters higher to clear the tower.
Step-by-step explanation:
In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).
The hypothenus is the distance travelled by the plane which is 83 meters (h)
The height of the tower is 98 Meters
We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.
According to Pythagorean theorem
(x^2) + (y^2) = h^2
y = √ (h^2) - (x^2)
y = √ (83^2) - (42^2)
y= √(6889 - 1764)
y= 71.59 Meters
The height from the plane's position to the top of the tower will be
Height difference = 98 - 71.59 = 26.41 Meters
So the plane should go about 27 Meters higher to clear the tower
8B and 10 not sure probably centre??