Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
2^3 * 3^2 * 5
= 2 * 2 * 2 * 3 * 3 * 5
As you can see from, the prime factors are 2, 3, and 5.
3 × 5 = 15, option A is correct.
5 1/9 - 5 5/6 is 3.27, if you want it rounded to the nearest whole number then that would by 3
have a nice day :)
Answer:
175 Kg
Step-by-step explanation:
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
385 : 2.2 =
175 Kg
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Since the height of an equilateral triangle in terms of its side s is s√3/2, the height of the triangle is 6√3/2 = 3√3 and so the area is (1/2)(6)(3√3) = 9√3.
<span>If we draw a horizontal line a height of h from the base of the triangle, the region is split into two regions: the lower region consisting of a trapezoid of height h and the upper region consisting of a triangle of height 3√3 - h. </span>
<span>Since the upper triangle and the triangle itself are similar triangles, the base and height are proportional. If we let x denote the base of the length of the upper triangle, we have: </span>
<span>(S. of small triangle)/(S. of big triangle) = (Ht. of small triangle)/(Ht. of big triangle) </span>
<span>==> x/6 = (3√3 - h)/(3√3) </span>
<span>==> x = (6√3 - 2h)/√3 </span>
<span>Thus, the area of the upper triangle is: </span>
<span>A = (1/2)[(6√3 - 2h)/√3](3√3 - h) = [(6√3 - 2h)(3√3 - h)]/(2√3). </span>
<span>(Made a dumb mistake about the height here for some reason) </span>
<span>Since we require that the area of this triangle is to be half of the total area (9√3/2), we need to solve: </span>
<span>[(6√3 - 2h)(3√3 - h)]/(2√3) = 9√3/2 </span>
<span>==> (6√3 - 2h)(3√3 - h) = 27 </span>
<span>==> 54 - 6h√3 - 6h√3 + 2h^2 = 27 </span>
<span>==> 2h^2 - 12h√3 + 27 = 0. </span>
<span>Solving with the Quadratic Formula gives: </span>
<span>h = (6√3 + 3√6)/2 ≈ 8.87 units and h = (6√3 - 3√6)/2 ≈ 1.52 units. </span>
<span>Since h = (6√3 + 3√6)/2 would place the line outside of the triangle, we pick h = (6√3 - 3√6)/2. </span>
<span>Therefore, the line should be ==> (6√3 - 3√6)/2 units from the base. </span>
<span>I hope this helps! ^^ Brainliest Please?</span><span>
</span>
The perimeter is 988 meters
Further explanation:
The given square has different length and breadth which means that the given square is a rectangle.
The formula for perimeter of a rectangle is:
Given
Length=L=256m
Breadth=W=238m
Putting the values in the formula:
The perimeter is 988 meters.
Keywords: Rectangle, Perimeter
Learn more about perimeter at:
#LearnwithBrainly
