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spin [16.1K]
3 years ago
9

Calcular el volumen en m3 de la esfera en el que el área de uno de sus círculos maximos es 36pim2

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

The volume of the sphere is V=288\pi\ m^3

Step-by-step explanation:

<u><em>The question in English is</em></u>

Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2

we know that

The radius of the maximum circle in the sphere is equal to the radius of the sphere

Step 1

Find the radius of the maximum circle

The area of the circle is

A=\pi r^{2}

we have

A=36\pi\ m^2

substitute and solve for r

36\pi=\pi r^{2}

Simplify

36=r^{2}

take the square root both sides

r=6\ m

Step 2

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

substitute the value of r

V=\frac{4}{3}\pi (6)^{3}

V=288\pi\ m^3

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Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
Galina-37 [17]

Answer:

B' = (-3,6)

Step-by-step explanation:

Given

A(4,5)

B(0,5)

C(3,-1)

<em>Translation: 3 units left and 1 unit right</em>

Required

Determine the new coordinates of B

Write out the coordinates of B

x = 0

y = 5

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

<em>Shifting by 3 units left, the new x becomes </em>

<em />New\ x = 0 - 3<em />

<em />New\ x = -3<em />

<em />

When a function is shifted upward, we have to add the unit to the y value of the function;

<em>Shifting by 1 unit up, the new y becomes </em>

New\ y = 5 + 1

New\ y = 6

Hence, the new coordinates of B is

B' = (-3,6)

5 0
3 years ago
the number of defectives in 10 different samples of 50 observations each is the following: 5, 1, 1, 2, 3, 3, 1, 4, 2, 3. what is
Law Incorporation [45]

The estimate of the population proportion of defectives is 0.05.

Given that,

There are 10 different samples of 50 observations, that is, total of 500 observations.

To find : The estimate of the population proportion of defectives

And total number of defectives from 500 observations is (5+1+1+2+3+3+1+4+2+3) = 25

Thus, the point estimate for the population proportion defectives will be,

=25/500=0.05

or just obtain the individual proportion of each sample and then take their average to obtain the same result.

Thus, the point estimate for the population proportion defectives will be 0.05

To learn more about proportion click here:

brainly.com/question/2548537

#SPJ4

6 0
1 year ago
I need help with number 4
Tju [1.3M]
So you first want to move all variables to one side.

2x = 1/8 + 4x

So perform the opposite of each operation to move it.

2x - 4x = 1/8 + 4x - 4x

-2x = 1/8

And then just divide both sides by -2

-2x / -2 = 1/8 / -2

x = -1/16
8 0
3 years ago
3+5i/-2+3i perform operation
melisa1 [442]

Answer:

\dfrac{9}{13}-\dfrac{19}{13}i

Step-by-step explanation:

Remember i^2=-1

You are given the fraction \dfrac{3+5i}{-2+3i}

First, multiply the numerator and the denominator by -2-3i:

\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}

This gives you 13 in denominator, now multiply two complex numbers in numerator:

(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i

Thus, the initial fraction is

\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i

4 0
3 years ago
Britney paid $4.50 for two mangoes and one bag of grapes. Finn paid $9.25 for three mangoes and two bags of grapes. Britney and
docker41 [41]
B. 4.5=2m+g
f. 9.25=3m+2g

1.25=m

sub

b. 4.5=2(1.25)+g
f. 9.25=3(1.25)+2g

b. 4.5=2.5+g
f. 9.25=3.75+2g

minus 2.5 from both sides on the b. equaion and minus 3.75 from both sides on the f. equation

b. 2=g
f. 5.5=2g

divide both sides of f. equation by 2

b. 2=g
f. 2.75=g

2.75-2=0.75
finn paied $0.75 more for a bag of grapes
4 0
4 years ago
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