We can multiple this binomial and this trinomial to find an equivalent expression.
(x + 4)(3x^2 + 2x)
3x^3 + 2x^2 + 12x^2 + 8x
Combine like terms.
3x^3 + 14x^2 + 8x is the equivalent polynomial.
10 million dollars year 1
13 million dollars year 2
26 million dollars year 3
Answer:
4188.8 cm^3
Step-by-step explanation:
We can calculate the volume of a sphere by using the following equation:
(r=radius)
so let's just plug in what we know
4/3(pi)(10)^3
we can calculate this with a calculator to get 4188.8 cm^3.
Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
Let us start with the unknown. Let us give one of the base angles the
value of x. The other base angle is also x since both the base angles in
an isosceles triangle will be equal. The remaining angle is 40 more
than three times one of the base angles.It is 3x + 40. Here we get the
equation
x+x+3x+40=180
5x + 40 = 180
5x = 180 - 40 = 140
Therefore x = 140/5 = 28
So the angles are 28, 28 and 124.
The third angle is 3 times 28 + 40 = 84 + 40 = 124.
