The perimeter of a rectangle is
2 answers:
<h3 /><h3>
</h3>
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
<h3>Defining the variables, let</h3>
<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>
<h3>Plugging everything into the equation</h3>
<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3><h3>30=2x+4x+6 combining like terms</h3><h3>30=6x+6 subtracting 6 from both sides,</h3><h3>24=6x divide both sides by 6</h3><h3>4=x This means that the width is 4 m.</h3><h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3><h3>L=2(4)+3</h3><h3>L=8+3 = 11 m</h3>
<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>
You might be interested in
Answer:
all work for both worksheets are pictured and shown
Step-by-step explanation:
worksheet 2
28. 968/22=44
29. 27+8=35
30. 39×37=-1443
Answer:
The amount of Polonium-210 left in his body after 72 days is 6.937 μg.
Step-by-step explanation:
The decay rate of Polonium-210 is the following:
(1)
Where:
N(t) is the quantity of Po-210 at time t =?
N₀ is the initial quantity of Po-210 = 10 μg
λ is the decay constant
t is the time = 72 d
The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.
First, we need to find the decay constant:
(2)
Where t(1/2) is the half-life of Po-210 = 138.376 days
By entering equation (2) into (1) we have:
Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.
I hope it helps you!