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dusya [7]
3 years ago
9

Help me please (photo below)

Mathematics
2 answers:
Julli [10]3 years ago
4 0
His measurements could be as much as 0.1 cm wrong.

He measures 3 cm by 4 cm .

-- The smallest the area could possibly be is if both of his measurements
were too big.  The rectangle would actually be 2.9cm by 3.9cm, and the
area would actually be  (2.9 x 3.9) = 11.31 square-cm.

-- The biggest the area could possibly be is if both of his measurements
were too small. The rectangle would actually be  3.1 cm  by  4.1 cm, and
the area would actually be  (3.1 x 4.1) = 12.71 square-cm.

So the true area must be between    11.31  ≤  Area  ≤  12.71  .
Elenna [48]3 years ago
4 0


11.9≤A≤12.1,

I am 80% sure

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The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th
vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by P(t)=1.394(1.006)^t

To find the derivative you need to:

\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t

To find the population growing at the start of 2014 we say t = 0

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year

To find the population growing at the start of 2015 we say t = 1

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year

To convert billion to million you multiple by 1000

P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year

6 0
3 years ago
21 is 84 percent of what number
marysya [2.9K]
Let the required no. be x then according to question
(84/100)*x = 21
x = 21*(100/84)
x = 2100/84
x = 25


hence the required no. is 25


hope it helped
5 0
3 years ago
Pls help me with this :)
Firdavs [7]

Answer:

looks like school work

Step-by-step explanation:

DO IT ON YOUR OWN

6 0
3 years ago
Mr.chu is slicing 4 cantaloupes for his class.There are 24 students in class. If Me.Chu cut the cantaloupes to make an equal por
babunello [35]
1/6 because 4/24 = 1/6
8 0
3 years ago
an engineer decides to use similar triangles to find the distance across the river she makes the diagram below which triangles t
sergiy2304 [10]
<h2>Explanation:</h2><h2 />

The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:

\frac{h}{56.7}=\frac{17.2}{52.4} \\ \\ h=56.7\times \frac{17.2}{52.4} \\ \\ h=18.61m

Our goal is to find x. So by Pythagorean theorem:

x=\sqrt{17.2^2+18.61^2} \\ \\ \boxed{x=25.34m}

Conclusion:

<em>ΔABC ~ΔDEF</em>

<em>Distance across the river is 25.34m </em>

8 0
3 years ago
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