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oee [108]
3 years ago
9

the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)​

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = \frac{2}{3} \pi r^{3}

1527.4 = \frac{2}{3} * \frac{22}{7} * r^{3}

\frac{7*15274*3}{2*22*10} = r^{3}

\frac{320754}{440} = r^{3}

r^{3} = 729

r = \sqrt[3]{729}

r = 9 cm approx.

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The price of a watch was increased by 20% to £144. What was the price before the increase?
hammer [34]

Answer:

120 pounds

Step-by-step explanation:

Since the new cost is 144 pounds and this is 20% more,  this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:

\frac{144}{x}=\frac{120}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(120) = 144(100)

120x = 14400

x= 120 pounds


6 0
3 years ago
Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit
matrenka [14]
\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------

\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2
7 0
3 years ago
If g(x) = 4x + 1 and g(x) = -11, find x.
podryga [215]

Answer:

x = - 3

Step-by-step explanation:

g(x) = 4x + 1...... (1)

g(x) = -11.... (2)

From equations (1) & (2)

-11 = 4x + 1

-11 - 1 = 4x

-12 = 4x

-12/4 = x

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3 0
3 years ago
A trade magazine routinely checks the​ drive-through service times of​ fast-food restaurants. Upper AA 9595​% confidence interva
Butoxors [25]

Answer:

One can be 95% confident that the drive-through service times of​ fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

6 0
3 years ago
Silvia buys 12 steaks that are each 34 of a pound. She spends a total of $90 on steaks. Complete each sentence. Silvia buys a to
scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
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To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
5 0
3 years ago
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