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Lyrx [107]
3 years ago
6

David has a piece of wood measuring 12 1/8 feet that he wants to use for a project he needs to cut the wood into pieces that mea

sure 1 13/16 feet how many pieces of wood can he cut measuring exactly 1 13/16 feet
Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

6 pieces

Step-by-step explanation:

The length of the whole piece of wood =12 \dfrac{1}{8} feet

The length of each small piece of wood =1 \dfrac{13}{16} feet

Find the number of pieces that can be cut:

12\dfrac{1}{8}:1\dfrac{13}{16}\\ \\=\dfrac{12\cdot 8+1}{8}:\dfrac{1\cdot 16+13}{16}\\ \\=\dfrac{97}{8}:\dfrac{29}{16}\\ \\=\dfrac{97}{8}\cdot \dfrac{16}{29}\\ \\=\dfrac{97\cdot 2}{29}\\ \\=\dfrac{194}{29}\\ \\=6\dfrac{20}{29}

Therefore, 6 pieces of wood can be cut.

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The answer should be "filtration" because distillation is for liquids. Filtration filters out the unwanted products.
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The table below shows which hand is favored by each person from a sample of 100 people (50 male and 50 female). Use the informat
Yuliya22 [10]

The probability that a randomly selected person from the sample will be female or left-handed will be 0.05.

<h3 /><h3>What is the probability?</h3>

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

Given data;

Total number of sample,n(S) = 100 person

No of female or left-handed is,n(E) =5

P(E) is the probability that a randomly selected person from the sample will be female or left-handed

The probability that a randomly selected person from the sample will be female or left-handed is found as;

P(E) = n(E)/n(S)

P(E) = 5 / 100

P(E) = 0.05

Hence the probability that a randomly selected person from the sample will be female or left-handed will be 0.05.

To learn more about probability, refer to the link: brainly.com/question/795909.

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6 0
2 years ago
A _________ of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the fi
goldfiish [28.3K]

Answer:

Translation is such a transformation which shifts all the points in a plane figure, without altering the shape of the figure.

Step-by-step explanation:

<em>" In a translation transformation all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object "</em>

Hence, Translation is the answer.

( i.e. A Translation of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure )

3 0
3 years ago
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Three solid shapes A,B and C The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of
dmitriy555 [2]

Answer:

9:20

Step-by-step explanation:

Given:

Surface area of shape A = 9 cm²

Surface Area of shape B = 16 cm²

Ratio of volume of shape A to B = 27:125

Required:

Find the ratio of the height of shape A to the height of shape C.

Ratio of surface area (A:B)² = ratio of linear measures (A:B)

Thus,

(A:B)² = (A:B)

(A/B)² = (A/B)

(\frac{A}{B})^2= (\frac{9}{16})

Take the square root of both sides:

(\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}})

\frac{A}{B} = \frac{3}{4}

Ratio of volume of shape B to C = 27:125

Thus,

(B:C)³ = 27:125

(\frac{B}{C})^3= (\frac{27}{125})

Take the cube root of both sides:

(3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})

\frac{B}{C} = \frac{3}{5}

Therefore, ratio of lengths A:B:C =

3:4:C

A:3:5

To make them equivalent, we have:

9:12:C

A:4:20

Therefore, the ratio of the height of shape A to the height of shape C =

9:20

6 0
4 years ago
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