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7nadin3 [17]
2 years ago
5

Need help on this please

Mathematics
1 answer:
Jobisdone [24]2 years ago
6 0

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

You might be interested in
Help me I am bad with percentages
Xelga [282]

Answer:

16.67% less

or

she only made 83% of her anticipated $18,000

Step-by-step explanation:

3000/18000 = 0.1666 or 16.67% less

15000/18000 = 0.8333 or 83%

4 0
3 years ago
The​ half-life of a certain tranquilizer in the bloodstream is 22 hours. How long will it take for the drug to decay to 90​% of
nasty-shy [4]

Answer:

It will take approximately 3.34 hours for the drug to decay to 90% of the original dosage

Step-by-step explanation:

As suggested, we use the formula for exponential decay:

A(t)=A_0\,e^{-k\,t}

From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value A_0, to a final value equal to A_0/2. Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

A(t)=A_0\,e^{-k\,t}\\\frac{A_0}{2} =A_0\,e^{-k\,*22}\\\frac{A_0}{A_0*2} =e^{-k\,*22}\\\frac{1}{2} =e^{-k\,*22}\\ln(\frac{1}{2})=-k\,*22\\ k=-\frac{ln(\frac{1}{2})}{22} \\k=0.0315

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

A(t)=A_0\,e^{-0.0315\,t}\\0.9*A_0} =A_0\,e^{-0.0315\,t}\\\frac{0.9*A_0}{A_0} =e^{-0.0315\,t}\\0.9 =e^{-0.0315\,t}\\ln(0.9)=-0.0315\,t\\ t=-\frac{ln(0.9)}{0.0315} \\t=3.3447\,hours

7 0
3 years ago
The industrial process that is used to convert a fuel to gasoline is carried out at a temperature range of 660 degrees°F to 790
NARA [144]

Answer:

|F-725|

With F represent the variable of interest:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

Step-by-step explanation:

For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.

We can find the midpoint of this interval like this:

Midpoint= \frac{660+790}{2}= 725

And the difference between the midpoint and the limits are:

|790-725|= 65

|680-725|= 65

So then we can create the following inequality:

|F-725|

With F represent the variable of interest.:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

5 0
3 years ago
Based on the given information, what is the measure of the missing length, c?
salantis [7]

Answer:

c=5\ units

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

AC^{2}=AB^{2}+BC^{2}

substitute the given values

13^{2}=c^{2}+12^{2}

Solve for c

169=c^{2}+144

c^{2}=169-144

c^{2}=25

c=5\ units

4 0
3 years ago
Find the number a for which x=5 is a solution of the given equation.
vfiekz [6]

Step-by-step explanation:

x + 8a = 25 + ax - 7a

x = 5

5 + 8a = 25 + 5a - 7a

5 + 8a = 25 - 2a

5 + 10a = 25

10a = 20

a = 2

3 0
2 years ago
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