MATHEMATICS HIGH SCHOOL

A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank

Answers

Answer 1
Answer:

≈ 3927 litres

the volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius of base and h is the height )

V= π × 100² × 250 = 7853981.634 cm³

(1)/(2) V = 3926990.817 = (3926990.817)/(1000) ≈ 3927 litres

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Can you help me with this question please?

mike constructed a closed box that measures 2.5 feet long by 3 feet wide by 1.5 feet high. what is the total area of the material mike needs to construct the box??

Answers

The total area is 2( 2.5*3 +3*1.5 + 2.5*1.5) =2( 7.5 + 4.5 + 3.75) =2*15.75 = 31.5 ;

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?A. 6.
B. 8.
C. 16.
D. 24.
E. 32.

Answers

Answer:

Option C. 16

Step-by-step explanation:

Number of differents colors = 4

Number of differents sizes = 2

Case 1: 3 notepads of the same size and the same color:

If we have a package with the same size and the same color, the number of possible packages is:

N° packages = 4(colors)*2(sizes) = 8

Case 2: 3 notepads of the same size and different colors:      

In this case, to calculate the number of possible permutations of packages without repetitions we need to use the following equation:    

C_(n)^[p} = (n!)/(p!(n-p)!)

where p: is the number of colors for each package = 3, and n: is the total number of colors = 4.

C_(4)^[3} = (4!)/(3!(4-3)!) = (4*3*2*1)/(3*2*1) = 4

This number calculated is for one size, if the have two different sizes the number of possible packages is:

N° packages = 4(colors)*2(sizes) = 8    

Therefore, the total number of different possible packages is:

N° packages = case 1 + case 2 = 8 + 8 = 16

So, the correct answer is option C = 16.

I hope it helps you!

Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages, with no exception. How many days does it take him to read the entire book

Answers

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

What is the answer to 2x >/= -6 + x-1<0 ?

Answers

Answer:

x  < 7

Step-by-step explanation:

24+ =120÷3
what's supposed to be in the space?

Answers

so first you simplify
24+x=120/3
120/3=40
24+x=40
subtract 24 from both sides
x=16
120/3= 40
40-24=16

16 is in the blank space

It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

Answers

Slope of the line;
slope=(change in y)/(change in x)
Slope=(3--3)/(4-1)
Slope,m =(6)/(3) =2
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5
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