-2 sqrt (20) -sqrt (125)
-2 sqrt (4 * 5) - sqrt (5 * 25)
-2sqrt (4) * sqrt (5) - sqrt (5) sqt (25)
-2 * 2 * sqrt (5) - 5sqrt (5)
-4sqrt (5) -5sqrt (5)
-9sqrt (5)
Answer:
I got the answer of 21.99115. Do I need to round too? If so, look up a rounding calculator and you can put in that decimal number and round to what the question says to round to.
I hope this helps!
Answer:
about 81 years
Step-by-step explanation:
A graphing calculator can give you the answer easily.
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You can solve the problem algebraically by putting in the given number and solving for t.
30000 = 32000/(1 +12.8e^(-.065t))
12.8e^(-.065t) = (32000/30000) -1 = 1/15
e^(-.065t) = 1/(15·12.8) = 1/192 . . . . . divide by 12.8
-0.065t = ln(1/192) ≈ -5.257 . . . . . . take the natural log
t = -5.257/-0.065 ≈ 80.88 . . . . . . . .divide by the coefficient of t
It will take about 81 years for the number of trees to reach 30,000.
The postulate that justifies the statement below the given diagram is the: angle addition postulate.
<h3>What is the Angle Addition Postulate?</h3>
According to the angle addition postulate, the sum of the measures of two angles that make up a bigger equals the measure of the bigger angle.
Two small angles, MRO and MRS add up to give the bigger angle, SRO, which contains both angles.
Therefore, the postulate that justifies, m∠MRO + ∠MRS = m∠SRO, is: angle addition postulate.
Learn more about the angle addition postulate on:
brainly.com/question/24746945
#SPJ1
Answer:
(a)
Given expression: 49% of 162
we can write 49% as ![\frac{49}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B100%7D)
then;
![\frac{49}{100} \times 162 = \frac{49 \times 162}{100} = \frac{7938}{100}=79.38](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B100%7D%20%5Ctimes%20162%20%3D%20%5Cfrac%7B49%20%5Ctimes%20162%7D%7B100%7D%20%3D%20%5Cfrac%7B7938%7D%7B100%7D%3D79.38)
Therefore, the estimate of the given expression is, 79.38.
(b)
Using mental math to calculate 49% of 162.
Mental math is used as a way to calculate an estimate quickly.
We can write 49% = 50% -1%
(50%-1%) of 162 = 50% of 162 -1% of 162
so,
50% of 162 = ![\frac{50}{100} \times 162 = \frac{1}{2} \times 162 = 81](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B100%7D%20%5Ctimes%20162%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20162%20%3D%2081)
and
1% of 162 = ![\frac{1}{100} \times 162 = \frac{162}{100} = 1.62](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%5Ctimes%20162%20%3D%20%5Cfrac%7B162%7D%7B100%7D%20%3D%201.62)
Now, subtract these we get;
81 - 1.62 = 79.38
Therefore, by using mental math 49% of 162 is, 79.38