First we join the two endpoints of the semicircle and that will be the diameter.
And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .
SO we get
Radius is half of diameter, so the radius is
Formula of area of circle is
So the area of semicircle is
And the other figure is a triangle, with
Therefore, total area is the sum of area of semicircle and area of triangle,
And we will get
Correct option is the third option .
Oof... you will need 46,656 to get all 6 prizes .... Throw a die.
Each number on the die depicts one of the 6 prizes.
The number of times you throw describes the number of boxes.
Answer:
x = -50/9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3x - 8 - 12x = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -9x - 8 = 42
- Isolate <em>x</em> term: -9x = 50
- Isolate <em>x</em>: x = -50/9
For the half-life of a certain substance, the equation that would best represent the scenario is,
At = Ao(0.5^t/n)
where At is the amount at any time t, Ao is the original amount, and n is half-life. Substituting the known values,
At = (220 mg)(0.5^(396/72)
At = 4.86 mg
Thus, after 396 days, there will only be 4.86 mg of Terbium-160.
