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katrin [286]
3 years ago
6

In the diagram, the length of segment TQ is 40 units.

Mathematics
2 answers:
allsm [11]3 years ago
8 0

Answer:

The answer is 44.

Step-by-step explanation:

stiks02 [169]3 years ago
8 0

Answer:

40 units

Step-by-step explanation:

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ArbitrLikvidat [17]

Answer:

4 by 8 or 4*6 is bigger

Step-by-step explanation:

4 by 8 or 4*8= 32

4 by 6 or 4*6= 24

Therefore 4 by 8 is bigger ;)

6 0
3 years ago
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The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month,x, that the instrument is rent
kompoz [17]
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4 0
3 years ago
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You and your friends have just measured the heights of your dogs. The heights are 600mm, 470mm, 170mm, 430mm and 300mm. Find out
Rufina [12.5K]

Answer:

To find the mean, you have to add all numbers together and divide them by the number of data points.

let me show what I mean:

The heights of the dogs are 600,470,170, 430,300.

Step-by-step explanation:

600+470+170+430+300.

1970.

Now we have to divide 1,970 by 5 ( because we are given 5 data points)

The mean is:

1970/5=394

Variance: First, arrange the data from least to greatest.

s2 = 27130

Standard Deviation: 164.71187

3 0
3 years ago
Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
Nehal is a real estate developer, and he is designing a new neighborhood. The neighborhood will have four streets, each of which
ololo11 [35]

Answer:

240 houses

Step-by-step explanation:

Given that:

Number of streets = 4

Length of each street = 3/4 miles long

Street is divided into lots with one house built per lot

1 mile = 5289 feets

3/4 miles = (3/4) * 5280 = 3960 feets

Hence, street is 3960 feets long

Since each lot must have at least 65 feet frontage along the street:

Number of lots per street :

Length of street / frontage length

3960 ft / 65 ft = 60.92

Hence, maximum number of lots per street = 60 lots per street

Maximum number of houses in New neighborhoods :

Number of lots per street × number of streets

= 60 × 4

= 240 houses

4 0
3 years ago
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