Solving for a variable in an equation means, we are changing the subject of formula of the equation.
The equation of r is:
The equation is given as:
We start by multiplying both sides by 3
Rewrite as:
Divide both sides by
Cancel out common factors
Take square roots of both sides
Evaluate the right-hand sides
Make r the subject
Hence, the resulting equating for r is:
Read more about the subject of formulas at:
brainly.com/question/21866313
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q
AB + CD = BC + DA
<span>Where A, B, C, and D are points on the quad, and AB is the length of the line A to B, etc. </span>
<span>Since you know three sides, you can easily solve for the fourth. </span>
Answer:
LM = 33 units
Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9
This means that:
LM = 41 - 2x
LM = 41 - 2(4)
LM = 33 units
Hope this helps :)
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes