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Art [367]
3 years ago
8

How many groups of 4/5 in 2

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0
2 1/2 groups of 4/5 fill in two. Another way of saying that is what is 2 divided by 4/5. The answer is 2 1/2.
~Deceptiøn
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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
Sphinxa [80]

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

8 0
2 years ago
Explain how to find the mean of a data set.
mezya [45]
You must add up all of the values and then divide them by the number of the values.
5 0
3 years ago
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Which expression equals a number that is NOT a rational number?
rewona [7]
  • \frac{3\pi.3^3}{7}  is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

  • \frac{3\pi . 3^3}{7\pi}  :

Let's evaluate this expression

⇒ \frac{3(\pi) ( 3^3)}{7(\pi)}

⇒ \frac{3^4}{7}

Therefore , It is a rational number ! .

  • \frac{-18}{5} :

Let's evaluate this expression

⇒ \frac{-18}{5}

Therefore , It is a rational number ! .

  • \frac{5}{3-7-9} :

Let's evaluate this expression

⇒ \frac{5}{3-16}

⇒ \frac{-5}{13}

Therefore , It is a rational number ! .

  • \frac{3\pi.3^3}{7} :

Let's evaluate this expression

⇒ \frac{3\pi.3^3}{7}

⇒ \frac{\pi.3^4}{7}

Therefore , It is not a rational number , as pi is included ! .

4 0
3 years ago
Read 2 more answers
Me pueden resolver estos ejercicios porfa​
Misha Larkins [42]

Answer:

Bluhiii2i2i2iwuiijju8

8 0
2 years ago
greg has building blocks.his sister gives him 17 more blocks. he uses 38 blocks to make a tower.how many blocks are not used in
sp2606 [1]
21 blocks, because if he uses 38 you subtract 17 and you get 21

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3 years ago
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