The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold
a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = [tex]\sqrt{x^2+y^2}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form

Step-by-step explanation:

[tex]but : \\ (36790 - x) + x + (37100 - x - B) = 37100 \\ 73890 - x - B = 37100 \\ x + B = 36790 - - - (a) \\ and : \\ (310 - B - x) + x + (36790 - x) = 310 \\ 37100 - B - x = 310 \\ x + B = - 36790 \\ B = 36790 - x[/tex]

Answer:

(36790−x)+x+(37100−x−B)=37100

73890−x−B=37100

x+B=36790−−−(a)

(310−B−x)+x+(36790−x)=310

37100−B−x=310

x+B=−36790

B=36790−x

Step-by-step explanation:

good luck

Answer:

The area is 35 square units.

Step-by-step explanation:

The entire figure is formed by four triangles and a rectangle, whose sum represents the total area ([tex]A_{T}[/tex]), in square units, represented by the following formula:

[tex]A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}[/tex] (1)

Where:

[tex]A_{1}[/tex], [tex]A_{2}[/tex], [tex]A_{3}[/tex], [tex]A_{4}[/tex] - Areas of the four triangles.

[tex]A_{5}[/tex] - Area of the rectangle.

By using the area formulas of a triangle and rectangle we expand the equation described above:

[tex]A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)[/tex]

[tex]A_{T} = 35\,u^{2}[/tex]

The area is 35 square units.

Answer:If you have two parallel lines and shift both to the left by the same amount, that does not alter the distance between the lines. Thus, c is correct.

Step-by-step explanation:

Answer:

the correct answer is option C

Answer:

4

Step-by-step explanation:

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Answer:

7.013, 7.13, 7.1371, 7.2

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

Answer:

$30

Step-by-step explanation:

Adding up all the expenditures and the remaining amount

starting amount = expenses + remainder

starting amount = ($5 + $6 + $10 + $4) + ($5)

starting amount = $30

Answer:

6e+16

but that equals

32.3096909708

Answer:

6 x 10^ 17

Step-by-step explanation:

5+5+5 = 15

15 x 500 x 240000000000000

Answer:

take 70 degree as reference angle

using cos rule

let adjacent be x

cos70=adjacent/hypotenuse

0.34=x/5

0.34*5=x

1.7=x

Step-by-step explanation:

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Answer:

48

Step-by-step explanation:

Given data

Ratio= 9:8

Combined ratio= 9+8= 17

Upvotes= 54

Let us apply the part to all approach to find the total votes

let the total votes be x

9/17= 54/x

cross multiply

9x= 54*17

9x= 918

divide both sides by 9

x= 918/9

x=102

Hence the number of downvotes is

=102-54

=48

Answer:

D

[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]

[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]

Answer:

8 + 2x

Step-by-step explanation:

Given that :

Kyle's game time = x

Trent's game time = 4 hours more than Kylie = 4 + x

Megan's game time = 2 times more than Trent ; this equals ; 2 * (4 + x) = 2(4 + x) = 8 + 2x

Answer:

what graph

Step-by-step explanation:

Answer: Should be 14

Step-by-step explanation:

Answer:

if we are finding the perimeter it would be x = 24

but if it is area it would be x = 480

Step-by-step explanation:

Answer:

x =  12 y       y = 29x

     29             12

Step-by-step explanation:

Answer:

82.5% and 17.5%

Step-by-step explanation:

The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.

200 - 35 = 165

165 people did not sign up.

This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,

The relative frequency of not getting a customer is 82.5%

The relative frequency of getting a customer is 17.5%

Answer:

THANK YOU!

Step-by-step explanation:

Answer:

I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]

Step-by-step explanation:

Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

Answer:

The answer is 699...............

Answer:

699

Step-by-step explanation:

First replace the value k to 12.

So our new expression will be:

3+(71-13) times 12

You first do the  Parentheses so substract  71 minus 13 which gives you 58 then multiply 58 times 12 which gives you 696 then add 3 to it and you get 699.

Answer:

80%

Step-by-step explanation:

I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...

56 / 70 = 0.8

0.8 * 100 = 80%

Answer: Not sure

Step-by-step explanation: A is wrong because they are parallel in one is on the top to the right and 1 is on the bottom. sorry thats all i know :(