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kow [346]
3 years ago
15

Find the volume of the cube. * Answer choices: 30 1/2, 33 3/4, 31 1/4, 32 1/3

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

volume = wide x length x deep

            = 3{1/3} ft x 2{1/2} ft x 3{3/4}ft

             = 10/3ft  x 5/2ft    x 15/4ft

             = (10 x 5 x 15)/(3 x 2 x 4) ft^3

              = 125/4 ft^3

               = 31{1/4} ft^3

Step-by-step explanation:

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Can someone help me understand how to add and subtract negatives and positives?
IgorC [24]
Okay, as you know, adding a positive and a positive gives you a bigger positive number. e.g 21 + 19 = 40.

Subtracting a positive from a positive might give you a negative number or a smaller positive number. e.g 21 - 19 = 2 or 20 - 24 = -4. That's simple, we all learned this! :)


Adding two negatives (e.g -4 + -5) will always give you a negative number. To make it easier, just think of the numbers only (4, 5), add them together, and then just put a negative sign by the answer (e.g 4 + 5 = 9 so put - to make -9).

Subtracting two negatives can be a bit tricky! When we say, for example, -5 - -4, we must turn the negative number that was to the right of the minus ( -4) into a positive number! So now it becomes -5 +4 ! And then you get your answer. (which is -1).


Adding a positive to a negative can give you a positive or a negative answer. It just depends which number is "bigger". E.g -20 + 31. << 31 is the "bigger" number, and it is a positive, so we know that our answer will be positive. E.g -20 + 9. << 20 is the "bigger" number (even though it's a negative but forget about that) and it is negative, so we know that our answer will be negative.

Adding a negative to a positive can give you a negative or a positive answer. Like I said, it depends on which number is "bigger". e.g 20 + -9 . We can just remove the + sign and it now becomes 20 -9, which is easier to understand. 20 is the bigger number, and it is positive, so we get a positive answer. e.g 20 + -30 becomes 20 -30 and -30 is the "bigger" number and it is negative, so we'll get a negative answer.

Subtracting a negative from a positive does the thing I mentioned earlier: e.g 20 - -9. The -9 is right of the minus sign and becomes positive: 20 +9! :)

Subtracting a positive from a negative, like I said, depends on which number is "bigger". e.g -30 - 9 (we know 9 is positive even though we don't show the + sign).  Now, to make it simple, just block out the - sign by the 30 so it becomes 30 - 9. You know what that answer is: 21. But because -30 is "bigger", and it is a negative number,  the answer will be negative so it's -21. E.g -30 - 42 <<  Block out the - sign by the 30, and 42 is the "bigger" number, so the answer will be a positive. Just look at the difference between "bigger" number and the smaller number (without signs) . That'll give your answer. 42 - 30 = 12. 42 was the "bigger" number and a positive, and we looked at the difference. :)
3 0
4 years ago
The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
katrin2010 [14]

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

<u>Given that:</u>

tan x = 21

where interval of x is [0,\dfrac{\pi}{2}].

We know that the trigonometric identity for tan x is:

tan\theta = \dfrac{Perpendicular}{Base}

Comparing with:

tan x = \dfrac{21}{1}

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\

\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units

interval of x is [0,\dfrac{\pi}{2}] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}

So, sine x :

\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998

Similarly, value of cos x :

\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046

3 0
3 years ago
Round 913,610 to nearest ten
Harlamova29_29 [7]
913,610 it is the same number because 0 is less than 5 so you don't have to round the tens place up by one
7 0
3 years ago
Can you find x for number 8? If right u get brainest and 5 stars.
cluponka [151]

Answer:

x = 26

Step-by-step explanation:

8)

6x + x - 2 = 180

7x - 2 = 180

7x = 182

x = 26

7 0
3 years ago
Read 2 more answers
I dont really understand this stuff
viva [34]
The area of a parallelogram is the base times the height.

Area and base is given so we can use that to solve for the height:
72 = 6* h

h = 72/6
h = 12

The height is 12 units.


8 0
3 years ago
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