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meriva
3 years ago
8

A fish tank is in the shape of a cuboid.

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Answer:

Length = 0.8m

Breadth = 0.3m

Volume = 108litres = 108÷1000 = 0.108m³

Volume = l x b x h

0.108 = 0.8 x 0.3 x h

0.108 ÷ ( 0.8 x 0.3 ) = h

0.45 = h

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How do you do this problem?
umka2103 [35]

Answer:

Step-by-step explanation:

You are going to work entirely on the right, until you can compare what is on the right with what you are given on the left.

a/1 + b/(x + 2) + c/(x - 8)

The first step is to determine the common denominator which is

(x + 2)(x - 8)

Now put each fraction over the common denominator.

<u>a(x + 2)(x - 8) + b(x - 8) + c(x + 2)</u>

             (x + 2)(x - 8)

The denominators on the left and right are the same, so you need only work with the numerators.

Remove the brackets.

a(x^2 - 6x - 16) + bx - 8b + cx + 2c

ax^2 - 6ax - 16a + bx - 8b + cx + 2c

In that whole expression, there is only 1 term that has an x^2 in it and that is the very first term.

a = 2 when you compare it to the left. You do this so you can get a value for  a.

Now put a = 2 in the first three terms on the expression above

2x^2 - 6*2x - 16(2) + bx - 8b + cx + 2c

2x^2 - 12x - 32 + bx - 8b + cx + 2c

The next thing is to get all the terms containing x together.

-12x + bx + cx = - 14x That's the term on the left (-14x). Divide by x

-12 + b + c = - 14          Add 12 to both sides

b + c = -14 + 12

b + c = - 2                    (x)

======================

Now you equate the terms with no x's in them.

-32 - 8b + 2c = - 76      Add 32 to both sides.

-8b + 2c = - 76 + 32

-8b + 2c = - 44             Divide by 2

-4b + c = - 22               (y)

Subtract (y) - (x)

-4b + c = - 22

 <u> b + c = - 2</u>

- 5b = - 20                   Divide by - 5

-5b/-5 = - 20/-5

b = 4

==============

b + c = - 2                     Find c substitute b = 4

4 + c = - 2                     Subtract 4 from both sides

c = - 2 - 4

c = - 6      

===============  

Answer

a = 2

b = 4

c = -6

6 0
3 years ago
HELP ILL GIVE BRAINLIEST
8090 [49]

Answer:

3/5 as a decimal is 0.6

Step-by-step explanation:

4 0
3 years ago
raul bought 2 packs of erasers he found 2 erasers in his backpack now raul has 8 erasers were in each pack?
r-ruslan [8.4K]
There was 3 erasers in each pack because 2 times 3 is 6 plus 2 equals 8. so there are 3 in each pack.
7 0
3 years ago
Read 2 more answers
SHOW YOU WORK AND EXPLAIN PLS I WILL MARK YOU BRAINLIEST PLEASE.
KatRina [158]

Answer:

a) 1.8 cm^2

b) 3.6 feet^2

Step-by-step explanation:

Conversion and calculation of areas

The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard

a)

We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is

A=(0.5)(0.6)=0.3 cm^2

Assuming there is no overlapping, the 6 stickers have a total area

6*0.3 cm^2=1.8 cm^2

b)

Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have

long=2/5*3=1.2 feet

wide=1/4*3=0.75 feet

Area of each paper=1.2 feet*0.75 feet=0.9 feet^2

Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 feet^2

Area of board=3.6 feet^2

7 0
3 years ago
The pyramid shown has a square base that is 24 inches on each side. The slant height is 20 inches. What is the surface area of t
pashok25 [27]
The surface area for this is 1536 units.
4 0
3 years ago
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