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3 years ago

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

Answer:8picm3

Step-by-step explanation:

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Company has 189 employees that share an office that has 32 floors. If they built another building for 50 employees, how high sho

iris [78.8K]

Answer:

8 floors

Step-by-step explanation:

The number of employees is directly proportional to the number of floors that each building has.

The first building has 32 floors and it occupies 189 employees. Therefore:

189 α 32

=> 189 = k * 32 = 32k

where k = constant of proportionality

=> k = 189/32

The new building has 50 employees, therefore:

50 = kN

where N = number of floors

=> 50 = 189/32 * N

N = (50 * 32) / 189 ≅ 8 floors

The new building should have 8 floors

5 0

3 years ago

Simple geometry problem

vova2212 [387]

Answer:

Step-by-step explanation:

I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).

The area of a sector is:

$A=\frac{\theta}{360}\pi r^2$ where our angle is given as 34, pi is 3.1415, and the radius is 5:

$A=\frac{34}{360}(3.1415)(25)$ and if you multiply and divide that all out you get that the area of the sector is:

A = 7.417

Now subtract from it the area of the segment, 2.209. to get the area of the triangle:

7.417 - 2.209 = 5.208

7 0

3 years ago

Read 2 more answers

Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)

k0ka [10]

2 ( k-5) 13 you don't need two k-5 you can simplify it so you just know to do it twice

6 0

3 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

3 years ago

Violet is baking a mixed berry pie that contains blueberries, cherries, blackberries, and raspberries. She uses three times as m

erastova [34]

Answer:

Blackberries= 30

Rasberries=30

Blueberries=60

Step-by-step explanation:

10 x 3 = 30 blackberries

Black berries is the same amount as rasberries

30 x 2= 60 blueberries

7 0

3 years ago

Read 2 more answers