To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.
<1 + <2 = 90 Given
<1 + 35 = 90 Substitute 35 for <2
<1 = 55° Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.
Therefore, m<1 = 55°.
Hope this helps!
H/(H+T) in theoretical probability is of course 1/2 or 0.5
Group E had an experimental probability of 32/50 or 0.64
Group F had an experimental probability of 52/100 or 0.52
So the experimental probability is closer to the theoretical probability for group F than group E.
Answer:
About 158 students in the district participate in the school music program.
Step-by-step explanation:
394(2/5)=788/5=157.6
The length (L) of the rectangle can be written as a function of the width (W)
:
Now since we know Area = Width*Length, we can write the area as a function of the width:
Distributing the W inside the parentheses we have:
We know the area is 54 ft^2, so we can rewrite it as:
Now solve for W by factoring (or by applying the quadratic formula):
Factor out a common 2W from the first two terms and a 9 from the last two terms:
Regroup the terms to get our fully factored equation:
This gives us the roots W = 6 and W = -9/2, but width can't be negative so we have width = 6 ft. Then remember that the length L = 2W - 3, so our length is:
So now we know that our rectangle is 9 feet long and 6 feet wide.
Answer:
Half life of the radioactive element is 5 days.
Step-by-step explanation:
Formula to get the final amount after the radioactive decay in 't' days,
Here = Initial amount
λ = Decay constant
t = duration of decay
= Final amount
0.01 =
ln(0.01) =
-4.6052 = -34λ
λ = 0.13544
Since, λ =
= 5.11
≈ 5 days
Therefore, half life of the radioactive element is 5 days.