BRAINLY EZ A sphere has a volume of 4,500/pi cubic feet. Find the radius of the sphere

Answer:

1) D. [tex]6\sqrt{120}[/tex], 2) C. [tex]2\sqrt{56}q^{2}[/tex], 3) C. [tex]\frac{4\sqrt{11}}{11}[/tex]

Step-by-step explanation:

1) We proceed to simplify the expression given in statement:

(i) [tex]2\sqrt{10}\cdot 3\sqrt{12}[/tex] Given

(ii) [tex](3\cdot 2)\cdot (\sqrt{10}\cdot \sqrt{12})[/tex] Commutative and associative properties

(iii) [tex](3\cdot 2)\cdot (10^{0.5}\cdot 12^{0.5})[/tex] Definition of square root.

(iv) [tex]6\cdot (10\cdot 12)^{0.5}[/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

(v) [tex]6\sqrt{120}[/tex] Definition of multiplication/Definition of square root/Result

Answer: D

2) We proceed to simplify the expression given in statement:

(i) [tex]\sqrt{14}q \cdot 2\sqrt{4}q[/tex] Given

(ii) [tex]2\cdot (\sqrt{14}\cdot \sqrt{4})\cdot (q\cdot q)[/tex] Commutative and associative properties

(iii) [tex]2\cdot (14^{0.5}\cdot 4^{0.5})\cdot q^{2}[/tex] Definition of square root/Definition of power.

(iv) [tex]2\cdot (14\cdot 4)^{0.5}\cdot q^{2}[/tex]    [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

(v) [tex]2\sqrt{56}q^{2}[/tex] Definition of multiplication/Definition of square root/Result

Answer: C

3) We proceed to simplify the expression given in statement:

(i) [tex]\frac{4}{\sqrt{11}}[/tex] Given

(ii) [tex]\frac{4}{\sqrt{11}}\cdot \frac{\sqrt{11}}{\sqrt{11}}[/tex] Modulative property/Existence of multiplicative inverse.

(iii) [tex]\frac{4\sqrt{11}}{\sqrt{11}\cdot \sqrt{11}}[/tex]  [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]

(iv) [tex]\frac{4\sqrt{11}}{11^{0.5}\cdot 11^{0.5}}[/tex] Definition of square root.

(v) [tex]\frac{4\sqrt{11}}{11}[/tex] [tex]a^m\cdot a^{n} = a^{m+n}[/tex]/Result

Answer: C

Answer:

29 3/4

Step-by-step explanation:

60 1/4 + x=90

Answer:

a)8cm

b)30inches

Step-by-step explanation:

a) The length of the television is 8cm. b) The height of the real television is 30inches

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. A unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that scale model of television, 1 centimeter represents 5 inches.

Scale

1 cm: 5 in

(a) The length of the reality television is 40 inches.

So, 40 / 5 = 8

Thus, the length of the television in the scale model is 8 inches.

(b) In the scale model, the height of the television is 6 centimeters.

6 centimeters x 5 = 30 inches.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Step-by-step explanation:

So, factor each of the expressions and find out.  Why should anyone else factor the expressions for you?  Come on and don't be so lazy!

Answer:

here’s the graph

Answer:

0.6x - 12.88

Step-by-step explanation:

Start by distributing the values outside the quantities to the values inside the quantities.

0.4(-3.6-0.5x) + 0.8(1.9 + x)

-14.4 - 0.2x + 1.52 + 0.8x

Combine like terms

-12.88 + 0.6x

Answer:

- 2/7

Step-by-step explanation:

-√4 ÷ 49

-√4/49

= -2/7

0: 3000

5: 500

.

.

.

..

.

.

Answer:

Diameter is twice the radius. 76 cm

Step-by-step explanation:

Answer:

The answer is

[tex]2 \times 38 = 76[/tex]

Answer: Same

Step-by-step explanation: They are both 120

Answer:

Step-by-step explanation:

Don't get it

Answer:

Step-by-step explanation:

[tex]\sqrt{-40}\\ \\ \sqrt{4(-10)}\\ \\ 2\sqrt{-10]\\ \\ 2i\sqrt{10}[/tex]

Answer:

a6b40c70

Step-by-step explanation:

a6b40c70

Answer: the first one!

Step-by-step explanation:

Answer:

1 ounce of mealworms for $2.50

Step-by-step explanation:

3.5/3.5 = 1 oz

8.75/3.5 = $2.50

1 ounce of mealworms for $2.50

Answer:

t ≤ 350

Step-by-step explanation:

Answer:

The answer is t_<350

Step-by-step explanation:

According to a past brainly and an answer from estudyassistant.com. This answer is correct. I will put the proof below

https://brainly.com/question/16925612

https://estudyassistant.com/mathematics/question15520698

Answer:

36°

Step-by-step explanation:

Given,

Measurement of <3 = 2x+8

Measurement of <4 = 6x+12

Since both are supplementary,

Therefore,

<3 + <4. = 180° [linear pair]

=> 2x + 8 + 6x + 12 = 180

=> 2x + 6x + 8 + 12 = 180

=> 8x + 20 = 180

=> 8x = 180 - 20 = 160

[tex] = > x = \frac{160}{8} [/tex]

=> x = 20

Now as we have got the value of x,

According to the question measurement of <4 is,

<4 = 6×4 + 12 = 24 + 12 = 36° (Ans)

Answer:

D

Step-by-step explanation:

The square is shown with a side length of 8 inches.

The area of a square is s^2, which can also be written as s x s, where a is the length of the side.

Area of the square would be 8 x 8 = 64 square inches.

The area of a circle is pi x r^2, where r is the radius. R is given as 3 inches.

The area of the circle is 3.14 x 3^2 = 28.26 square inches.

The shaded area is the square minus the circle.

The shaded area = 64 - 28.26 = 25.74 square inches.

The answer is 25.74 square inches.

Look at my explanation to know the answer clearly.

So, we're supposed to find the area of the shaded part.

In the problem, the shaded part is the square, and the side is 8 in.

Let's apply this formula, A = L · W or A². So, we can multiply the Length and Width to get the area.

The length is 8.

Since we don't have a width, we can use A². We can find 8 to the 2nd power to get the answer.

8 to the 2nd power is 64. How?

1. Break the exponent down.

8² ⇒ 8 × 8

2. Solve.

8 × 8 = 64

Hence, 64 is the answer. Hence, 64 is the answer. Now, we'll need to find the circumference of the circle.

The formula for that is 2 π r²

The radius is 3 in, so let's multiply 2 by 3² by 3.14.

3² × 3.14 = 28.26

Lastly, subtract 64 by 28.26.

64 - 28.25 = 25.74

Hence, your final answer is 25.74in.

Answer:

-50%

Step-by-step explanation:

hope this helps :)

Answer:

It would be - 50% because 11 is half of 22

Step-by-step explanation:

Answer:

64,800

Step-by-step explanation:

The computation of the number of purchased by the whole country in one year is shown below:

= Average person purchase per year × number of people in the country

= 240 × 270 million people

= 64,800

Answer:

A= no solution

Step-by-step explanation:

Answer:

f. statement #1 is wrong. the probability would be 3/7 since o and e are the only vowels in october

g. statement #3 is wrong. it should be 21 times since there's 3 diamonds and 7x3=21

h. statement #3 is wrong. he's twice as likely to choose a $5 bill since he has twice the amount of $5 bills than $10 bills.

i. statement #2 is wrong. but im not sure about the calculation

j. statement #1 is wrong. the probably should be 3/11 (6/22 = 3/11)

Step-by-step explanation:

Answer:

81.76in^2

Step-by-step explanation:

Given data

Lenght of book=  11.2 inches

WIdth of book= 7.3 inches

We know that Area= Length* Width

Area= 11.2*7.3

Area= 81.76 in^2

Hence the area of the front of the book is is 81.76in^2

Answer:

27

Step-by-step explanation:

Let d = number Of drama club members

let y = number of yearbook club members

now you can write two equations, one for the total number of students, and one for the difference between them.

d + y =64

d - y = 10

to solve for d, add these two lines together (so as to remove the y’s)

2d + 0y = 74

d = 37

now substitute back into one of the formulas

d+y=64

37+y=64

subtract 37 from each side,

y = 27

Answer:

Step-by-step explanation:

eact from : x= 2, 6/5

decial from : x= 2, -1.2

mixed number from  :x=  2, - 1 1/5

Answer:

No Solution for x ∈ All Real Numbers

Step-by-step explanation:

-3|5x-2|>4 [multiply either side by -1]

|5x-2|<-4

Now since absolute value expressions are always greater than or equal to 0, 5x-2 can't possibly be negative. Solution: No Solution

Answer:

EGF= 27°

Step-by-step explanation:

EGF=FEG (opp ∠'s equal in isos triangle)

126 + 2x = 180° (int ∠' s of triangle =)

2x= 180-126

x= 54/2

x= 27

Therefore

EGF=FEG= 27°

Answer:

8:6, 20:15, and 32:24

Step-by-step explanation:

Answer:

8:6 ,. 20:15,. 32:24. ,

Step-by-step explanation:

hope it helps and your day will be full of happiness

Answer:

24

Step-by-step explanation:

the simplified version of this expression would be 24 x  +  1

Answer:

9.9823

Step-by-step explanation:

iven a role of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.

*use π on your sci calculator.

Surface Area =

Answer:

The answer is 0.8 in^2

Step-by-step explanation:

Data

diameter = 0.835 in

thickness = 0.077in

Roll of $ 2.00

Procedure

1.- Find the total number of nickels

# of nickels = 2/ 0.05

# of nickels = 40

2.- Calculate the Circumference

C = 2*pi*r

r = 0.077/2

r = 0.0385

C = 2*3.14*0.0385

C = 0.242 in

3.- Calculate the area of the thickness

Area = 0.242* 0.077*40

Area = 0.745 in^2

4.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*(0.0382)^2

Area = 0.0093 in^2

5.- Calculate the total area of the roll

Total area = Area of the thickness + Area of the base and top

Total area = 0.745 + 0.0093

Total area = 0.7543 in^2 This is the result

Rounding to the nearest tenth = 0.8 in^2