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Brums [2.3K]
3 years ago
7

Find the volume of a solid

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:Volume = Area of the base × height

Step-by-step explanation:

If the rectangular box were filled with 1 cm cubes, there would be:

6 × 2 cubes in the bottom layer

As there are 3 layers,

Volume = 36 cubic centimetres

Now note that the area of the box's base is given by:

Area = 12 square centimetres

From the above discussion, we can derive a formula for the volume of a rectangular box as follows:

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(3)/(2x+3)=(2)/(10x+4)
RoseWind [281]

Answer:

x = -3/13

Step-by-step explanation:

cross multiply

4x + 6 = 30x + 12

combine like terms

-6 = 26x

x = -6/26 = -3/13

7 0
3 years ago
Find the perimeter and the area of the given figure:<br><br> PLSSSSSSSSSSSSSSSSSS
Lera25 [3.4K]

Answer:

perimeter: 26

area: 16 + 10 =26

perimeter: add all lengths.

area: multiply LxW

5 0
3 years ago
Read 2 more answers
576 bottles of water at the snack shop people bought 469 bottles of water how many bottles of water are there now
Vedmedyk [2.9K]
Subtract 469 from 576
576
-469
--------
107

6 0
3 years ago
Round 2.71828 to the hearest thousandth.
Colt1911 [192]

Answer:

2.718

Step-by-step explanation:

The thousandths place is 3 to the right of the decimal (the 8).

Since the next number is 2, the number stays the same and does not round up.

Hope this helps :)

4 0
3 years ago
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
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