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Gelneren [198K]
3 years ago
12

The volume of a model of a puzzle cube is 110,592 cubic inches. It is made up of 27 smaller cubes. What is the length of one sid

e of each smaller cube?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

16 inch

Step-by-step explanation:

Total Volume = 110,592 inch ^3

total cubes = 27

Volume of 1 cube = \frac{tptal volume}{number of cubes}

volume of 1 cube = 4096 inch^3

length of a cube is a cube root which is \sqrt[3]{4096}

which is equal to 16 inch

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You have A picture or something of what you mean?
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At the pet store 25 bunnies were examined and 7 of them had blue eyes.
expeople1 [14]

Given

\begin{gathered} 25\text{ }bunnies=7blue\text{ }eyes \\ 60\text{ }bunnies=xblue\text{ }eyes \\  \\ x=\frac{60\times7}{25} \\  \\ x=16.8 \\  \\ x\approx17 \end{gathered}

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5 0
1 year ago
If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessar
allsm [11]

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4

4 0
3 years ago
What is the solution for the equation 2x - 3 = - 8
almond37 [142]

2x - 3 = -8

    +3     + 3

2x = -5

/2    /2

x = -2.5 (Answer)

Prove.

2(-2.5) - 3 = -8

-5 - 3 = -8

-8 = -8

True.

6 0
3 years ago
Read 2 more answers
A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or
goldenfox [79]

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

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Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

5 0
2 years ago
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