If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if is half the perimeter of the triangle whose sides are , the area is given by
In our case, so the formula becomes
Option 2: is the correct answer.
Step-by-step explanation:
The radical expressions like these are simplified by using fractional exponents
given
Converting radicals into exponents
When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3
So
As the bases of numerator and denominator is same, the exponents can be subtracted
Hence,
Option 2: is the correct answer.
Keywords: Exponents, radicals
Learn more about radicals at:
#LearnwithBrainly
Answer:
Jaylen's conclusion is a valid conclusion because it is logical
Step-by-step explanation:
Jaylen's conclusion is a valid conclusion because it is logical. Regardless of not having all the necessary information needed to prove that the number of dogs is the sole main cause for an increase in cleaner usage she can still conclude this. Since dogs naturally bring in dirt from outside and make messes, and since Jaylene notices that families that are known to have more dogs are buying more floor cleaner then she can logically come to this conclusion.
Answer:
w = 15
Step-by-step explanation:
-9(w + 585) = -360w
-9w -5265 = -360w
351w = 5265
w=15