The maximum volume would be when the bottom of the box is a square.
The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.
Then to find volume multiply the length by the width by the height:
Volume = 9 x 9 x 4 = 324 cm^3
The answer would be a.
Answer:
a) P=0
b) P=1
c) P=0
d) X=7.1645
Step-by-step explanation:
We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.
a) What is the probability that the resulting pH is between 5.90 and 6.15?
We calculate the z-score for this 2 values, and then compute the probability.
Then the probability is
b) What is the probability that the resulting pH exceeds 6.10?
We repeat the previous procedure.
c) What is the probability that the resulting pH is at most 5.95?
d. What value will be exceeded by only 5% of all such pH values?
We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.
In the standard normal distribution, it happens for a z=1.645.
Then, we can calculate the pH as:
Answer:
7.11
Step-by-step explanation: Area=lengthxwdth
64=lengthx9
64/9=length
7.11=length
The question in English
<span>1 Determine the length and area of a circle whose measures are:
a) radius 11cm b) radius 4.2 cm c) diameter 42.3 cm
2 considering that a large traditional pizza is 36 cm in radius and a small traditional pizza has 26 cm.Determine the difference between the area of the two pizzas
3.a worker spends 3 hours to clear a circular terrain of 6 meters radius. If the terrain was 12 meters radius, how much time would the worker spend to clean such terrain ???
4, transform the following arcs into radians
a) 27 ° b) 81 ° c) 144 ° d) 225 ° d) 315 °
Part 1)
we know that
length of a circle is equal to the circumference
circumference=2*pi*r
area of the circle=pi*r²
part a ) radius 11 cm
</span><span>circumference=2*pi*11-----> 69.08 cm
area of the circle=pi*11²----> 379.94 cm²
</span>
<span><span>part b) radius 4.2 cm
</span><span>circumference=2*pi*4.2-----> 26.38 cm
area of the circle=pi*4.2²----> 55.39 cm²
</span></span>
<span><span>part c ) diameter 42.3 cm
radius r=42.3/2=21.15 cm
</span><span>circumference=2*pi*21.15-----> 132.82 cm
area of the circle=pi*21.15²----> 1404.59 cm²
Part 2)
</span></span>
<span>area large traditional pizza
r=36 cm
area=pi*36²----> 4069.44 cm²
area </span><span>small traditional pizza
r=26 cm
area=pi*26²-----> 2122.64 cm²
</span><span>difference between the area of the two pizzas
=4069.44-2122.64
difference </span><span>between the area of the two pizzas=1946.80 cm²
Part 3)
Area of the </span><span>circular terrain of 6 meters radius
area=pi*6²-----> 113.04 m²
</span><span>Area of the <span>circular terrain of 12 meters radius
area=pi*12²-----> 452.16 m²
</span></span>
if a <span>worker spends 3 hours to clear a circular terrain of--------> 113.04 m²
x hours---------------------------> 452.16 m²
x=452.16*3/113.04-----> x=12 hours
Part 4) </span><span>transform the following arcs into radians
a) 27°
pi radians------> 180°
x radians-----> 27°
x=27*pi/180-----> x=0.15*pi radians------> 0.47 radians
</span><span>b) 81°
pi radians------> 180°
x radians-----> 81°
x=81*pi/180-----> x=0.45*pi radians------> 1.41 radians
</span>
<span>c) 144°
pi radians------> 180°
x radians-----> 144°
x=144*pi/180-----> x=0.80*pi radians------> 2.51 radians
</span>
<span>d) 225°
pi radians------> 180°
x radians-----> 225°
x=225*pi/180-----> x=1.25*pi radians------> 3.93 radians
</span>
<span>e) 315°
pi radians------> 180°
x radians-----> 315°
x=315*pi/180-----> x=1.75*pi radians------> 5.50 radians
</span><span>
the answer in Portuguese
</span>
<span>Parte 1)
</span>
<span>nós sabemos isso
</span><span>comprimento de um círculo é igual à circunferência
</span><span>circunferência=2*pi*r
</span>área do círculo<span>=pi*r²
parte a )
</span>raio<span> 11 cm
</span><span>circunferência=2*pi*11-----> 69.08 cm
</span><span><span>área do círculo=pi*11²----> 379.94 cm²
</span>
<span>parte b) raio 4.2 cm
</span></span><span>circunferência=2*pi*4.2-----> 26.38 cm
</span><span><span>área do círculo=pi*4.2²----> 55.39 cm²
</span>
<span>parte c )
</span></span>diâmetro<span> 42.3 cm
</span><span>raio r=42.3/2=21.15 cm
</span><span>circunferência=2*pi*21.15-----> 132.82 cm
</span><span><span>área do círculo=pi*21.15²----> 1404.59 cm²
Parte 2)
</span>
</span>
área grande pizza tradicional<span>r=36 cm
</span><span>área=pi*36²----> 4069.44 cm²
</span>
<span>área pequena pizza tradicional<span>
r=26 cm
</span></span><span>área=pi*26²-----> 2122.64 cm²
</span>diferença entre a área das duas pizzas<span> =4069.44-2122.64
</span>diferença entre a área das duas pizzas<span>=1946.80 cm²
Parte 3)
</span><span><span>
Área do terreno circular de 6 metros de raio</span>
</span><span>área=pi*6²-----> 113.04 m²
</span>
<span>Área do terreno circular de 12 metros de raio
</span><span><span>área=pi*12²-----> 452.16 m²
</span>
</span>se um trabalhador gastar 3 horas para limpar um terreno <span>-----> 113.04 m²
x hours---------------------------> 452.16 m²
x=452.16*3/113.04-----> x=12 horas
Parte 4) </span><span><span>transformar os seguintes arcos em radianos
a) 27°
pi radianos------> 180°
x radianos-----> 27°
x=27*pi/180-----> x=0.15*pi radianos------> 0.47 radianos
</span><span>b) 81°
pi radianos------> 180°
x radianos-----> 81°
x=81*pi/180-----> x=0.45*pi radianos------> 1.41 radianos
</span>
<span>c) 144°
pi radianos------> 180°
x radianos-----> 144°
x=144*pi/180-----> x=0.80*pi radianos------> 2.51 radianos
</span>
<span>d) 225°
pi radianos------> 180°
x radianos-----> 225°
x=225*pi/180-----> x=1.25*pi radianos------> 3.93 radianos
</span>
<span>e) 315°
pi radianos------> 180°
x radianos-----> 315°
x=315*pi/180-----> x=1.75*pi radianos------> 5.50 radianos</span></span>
The answer is x=23.......................
