Answer:
Perimeter = 30 yd
Area = 43.301 yd²
Step-by-step explanation:
The Triangle has three equal sides of 10 yd each. It is therefore an equilateral triangle with equal angle measuring 60° each.
Thus:
✔️ Perimeter = sum of all sides = 10 + 10 + 10 = 30 yd
✔️Area can be found using, A = ½*ab*Sinθ
Where,
a = 10 yd
b = 10 yd
θ = 60°
A = ½*10*10*Sin 60
A = 43.301 yd² (3 decimal places).
Answer:
4/3x -5
Step-by-step explanation:
Answer:
- <u>59.0891 g (rounded to 4 decimal places)</u>
Explanation:
<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.
Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:
Where:
- A is the amount that remains of the substance after n half-lives have elapses, and
- A₀ is the starting amount of the substance.
In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:
- 330 days / 138 days = 2.3913
Therefore, the amount of polonium-210 that will be left in 330 days is:
Answer:
The Correct option is Last one
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line is
Step-by-step explanation:
Given:
To Find:
Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3
Solution:
..........Given
Comparing with Slope-Intercept form,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line is