Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°.

Answer:

B: 4,599 inches

Step-by-step explanation:

The volume of the empty space in cylindrical container is V = 4,599 inches³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the radius of the sphere be r₁ = 13 inches

So , the volume of the sphere V₁ = ( 4/3 )πr³

V₁ = ( 4/3 ) ( 3.14 ) ( 13 )³

V₁ = 9,198.106 inches³

Let the radius of the cylinder be r₂ = 13 inches

Let the height of the cylinder be h = 26 inches

So , Volume of Cylinder = πr²h

V₂ = 3.14 ( 13 )² x 26

V₂ = 13,797.16 inches³

So , the volume of the empty space V = V₂ - V₁

V = 13,797.16 inches³ - 9,198.106 inches³

V = 4,599 inches³

Hence , the volume of empty space is 4,599 inches³

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Answer:

he works 17.6 hours

Step-by-step explanation:

Answer:

he gets 1760$ a month

Step-by-step explanation:

176 multiplied by 10

:)

Answer:

X=11

Step-by-step explanation:

To find x-intercept/zero substitute h(x)=0

0=x-11 move the variable to the left hand side and change it's sign

-x=-11 change the signs on both sides of the equation

x=11

attached image

Step-by-step explanation:

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Answer:

x=8.72389

Step-by-step explanation:

first you make every number 10 times larger

25*10, 48*10, etc etc

you find that you have 12x

the difference between the two surfaces is

120000 (250*480)- 28600= 91400

12x²+20=91400

12x²=91400-20

12x²= 91380

x²=91380/ 12

x²= 7615

x= √7615

x= 87.2389

and since we had made everything 10 times bigger

x=8.72389

i hope you understand i am not good with the words but i think you can understand what i did.

We're adding n and m onto k to get P. Undo these operations to isolate k. So we subtract m from both sides

P = k+n+m

P-m = k+n+m-m

P-m = k+n

and we subtract n from both sides

P-m = k+n

P-m-n = k+n-n

P-m-n = k

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

Answer:

Probability (not green) = 21 / 29

Step-by-step explanation:

Given:

Number of red marble = 10

Number of green marble = 8

Number of blue marble = 5

Number of white marble = 6

Find:

Probability (not green)

Computation:

Total marble = 10 + 8 + 5 + 6

Total marble = 29

Probability (not green) = 1 - (Probability of green marble))

Probability (not green) = 1 - (8 / 29)

Probability (not green) = 21 / 29

Answer:

Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.

1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)

Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.

Media = (16 + 20)/2 = 36/2 = 18

La nota sería 18.

2) entre 16 y 20 tenemos:

16, 17, 18, 19 y 20

tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.

3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.

4) Si los estudiantes se ordenan en fila según notas tendríamos:

Fila con nota 16

fila con nota 17

fila con nota 18

fila con nota 19

fila con nota 20

Podemos ver que la fila del medio es el grupo con nota de 18

Answer:

7²-3+9x8÷2

Step-by-step explanation:

you need to answer urself

Answer:

Step-by-step explanation:

7²-3+9x(8÷2)

=49 - 3 + (9 x 4)

=49 - 3 + 36

=82

[tex]hope \: this \: helps[/tex]

Answer:

12

Step-by-step explanation:

25/30=10/x

cross multiply

25x=30*10

25x=300

x=12

Answer:

(30/x) = (25/10)

x = (30*10)/25

x = 12

Answer:

the answer to part is 112.5 and part b is 4612.5 dont completely trust me though

Answer:

8×2=16 pellets the rabbit's receives 16 pellets

Step-by-step explanation:

Answer:

The numbers would be placed inside of natural numbers

Step-by-step explanation:

Such number would be placed inside natural numbers.

Integers are whole numbers and their opposites. This means that an integer can be a negative number.

Whole numbers are counting numbers, including Zero and excluding negative numbers. Therefore whole numbers are greater than or equal to 0

Natural numbers are counting numbers excluding Zero and Negative numbers.

From the above definitions, we can agree that natural numbers exists in whole numbers and also exists in integers, but neither of the two exists in natural numbers.

We can then say that

Natural numbers is a subset of whole numbers which is a subset of integers.

Natural numbers < Whole numbers < Integers.

Kindly hit brainliest

Answer:

30 min

Step-by-step explanation:

The tank can be filled in 15 min, this means that in one min, 1/15 of the tank can be filled.

The tank can be emptied in 10 min, this means that in one min, 1/10 of the tank can be emptied.

the outflow rate - the inflow rate = rate of emptying the tank

1/10 - 1/15 = 1/x

where x is the time it will take to empty the tank

solving, we'll have

1/30 = 1/x

the reciprocal of the equation gives

x = 30 min

Answer:

Option (B) : 7 / 20

Step-by-step explanation:

[tex]P(A∩B)=P(B) \times P(A|B)[/tex]

[tex]P(A|B) = \frac{P(A∩B)}{P(B)} = \frac{7}{40} \times \frac{2}{1} = \frac{7}{20} [/tex]

1 minute = 60 seconds

2 minutes = 60 x 2 = 120 seconds

Fraction = 6/120 reduces to 1/20

The answer is 1/20

Answer:

1/20

Step-by-step explanation:

just simplify 6/120

So you need to find the number in between -3 and 6.

Since this is pretty basic, you can use you can guess and try.

-3 + 4.5 = 1.5

6 - 4.5 = 1.5

The midpoint of -3 and 6 is 1.5

-3 x 10 , 6x10

-30 , 60

the numbers between -30 and 60 are the midpoints of -3 and 6 like

-29 -28 -27 -26..........-1 0 1 2 3 7.......56 57 58 59 these r the midpoints

Answer:

5/8 is greater than 7/12

Step-by-step explanation:

5/8 is greater than 7/12

we need to make the denominators the same in order to solve the inequality

so, the easiest solution would be to multiply both denominators by each other, then doing that to the numerator ....

5 x 12 = 60        7 x 8 = 56

8 x 12 = 96        12 x 8 = 96

here we have our new fractions ---

[tex]\frac{60}{96}[/tex] which was originally [tex]\frac{5}{12}[/tex]

[tex]\frac{56}{96}[/tex] which was originally [tex]\frac{7}{12}[/tex]

now that we have the denominators the same... we can clearly see that

[tex]\frac{60}{96}[/tex] is greater than [tex]\frac{56}{96}[/tex]

therefore 5/8 is greater than 7/12

Answer:

C

Step-by-step explanation:

Count it out, 16, __, 18.

What’s between 16 and 18?

16, 17, 18

Not that hard

Answer:

C

Step-by-step explanation:

Answer:

15 is the product.

Step-by-step explanation:

when you multiply, the answer is called the product.

The product of two given numbers is 15.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given equation is 5×3=15.

The product of 5 and 3 is 15

Now, 5×3=15

15=15

LHS=RHS

Therefore, the product of two given numbers is 15.

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Answer:

There are 20 rabbits.

Step-by-step explanation:

Let D be the number of ducks on the farm and R be the number of rabbits. We get the equation:

D + R = 24

Ducks have 2 legs and rabbits have 4. We know there are 88 legs in total, so we get the equation:

2D + 4R = 88

Rewriting the first equation, we get:

D = 24 - R

Substituting this into the second equation, we get:

2(24 - R) + 4R = 88

Solve for R:

48 - 2R + 4R = 88

2R = 40

R = 20

So there are 20 rabbits and 4 ducks on the farm, with a total of 88 legs.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The domain and the range of a graph are simply the possible x and y values of the graph.

Tatiana is incorrect, because she switched the x and y values

From the complete question (see attachment), we have the following observations.

This means that:

Tatiana's conclusion about the domain and the range of the graph is incorrect, because switched the values of the domain and the range

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The expression that has a value of 10 is (10 + 10) divide (5 - 3)

To do this, we simply test the options

We have:

Option (A)

(10 + 10) divide (5 - 3)

Evaluate the sum and the difference

(10 + 10) divide (5 - 3) = 20 divide 2

Evaluate the quotient

(10 + 10) divide (5 - 3) = 10

Hence, the expression that has a value of 10 is (10 + 10) divide (5 - 3)

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Answer:

Length of the rectangular board=9 foot

Step-by-step explanation:

Width of the rectangular board=1/3 foot

Length of the rectangular board=x

Area of the rectangular board=3 square feet

Area of a rectangular board =Length × Width

3=x * 1/3

3=1/3x

Divide both sides by 1/3

3÷1/3=x

3*3/1 = x

9=x

x=9 feet

Therefore,

Length of the rectangular board= x = 9 foot

Answer:

-4

Step-by-step explanation:

Subtract 1 - 5 = -4...

Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).

5 - 1 = 4, so - (5-1) = -4.

Answer:

1-(5) is 1-5 = -4

Step-by-step explanation:

one subtracted by 5 will offer an negative number, -4.

Answer:

x=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

4x + 5 = 25

Subtract 5 from each side

4x + 5-5 = 25-5

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

Answer:

Step-by-step explanation:

Given,

A ( - 1 , - 3 )⇒( x₁ , y₁ )

B ( 11 , 8 )⇒( x₂ , y₂ )

Using distance formula to find the length of AB

[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

plug the values

⇒[tex] \sf{ \sqrt{ {(11 - ( - 1))}^{2} + {( 8 - ( - 3))}^{2} } }[/tex]

We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(11 + 1)}^{2} + {(8 + 3)}^{2} } }[/tex]

Add the numbers

⇒[tex] \sf{ \sqrt{ {12}^{2} + {11}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{144 + 121} }[/tex]

Add the numbers and calculate

⇒[tex] \sf{\sqrt{265} }[/tex]

⇒[tex] \sf{16.27}[/tex] units

Hope I helped!

Best regards!!