X=mother's age
y=son's age
3y=x
x+y=38+(5*2)
therefore x=36 and y=12
To find the cross product, you can set this up as a proportion. Please see the attached paper for one of the proportions you could use.
You would then multiply the numbers that are diagonal from each other.
You would have 21(8) = 12x or
168=12x.
volume of a sphere with a radius of 6 inches is 288π cubic inches.
<h3>
What is volume of a sphere?</h3>
A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.
V=43πr3
Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.
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<span>r=2sin0-3cos0</span>
explain<span>using the formula that links Cartesian to Polar coordinates.<span>∙y=r<span>sinθ</span></span><span>∙x=r<span>cosθ</span></span>then : <span>r<span>sinθ</span>=3r<span>cosθ</span>+2</span>and <span>r<span>sinθ</span>−3r<span>cosθ</span>=2</span>hence <span>r<span>(<span>sinθ</span>−3<span>cosθ</span>)</span>=2</span></span>
<span>⇒r=<span><span>2<span><span>sinθ</span>−3<span>cosθ</span></span></span></span></span>
Answer:
If the third side is x, then
The perimeter is 5+19+x.
But every side must be less than the sum of the other
two sides, so x < 5+19
x < 24
Adding 5+19 to both sides to make the left side
equal to the perimeter
perimeter = x+5+19 < 24+5+19 = 48
So 48 is the smallest whole number that is larger than the
perimeter of any triangle with a side length of 5 and a side
length of 19.
Step-by-step explanation:
