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3 years ago

Which statements about a square are always true?

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Answer:

All statements are true.

Step-by-step explanation:

In a square, we have

all sides equal

all angles equal to 90 degrees

diagonals always bisect each other and at right angles.

Only square is the quadrilateral which satisfies all the above properties.

A parallelogram has diagonals which do not cut at right angles.

A rhombus has all sides equal but not all angles. Neither diagonals are equal in a rhombus.

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What expression represents a number one fourth as great as 10-2

Bad White [126]

Answer:

8+1/4

Step-by-step explanation:

8+1/4 because 10-2 is 8.

6 0

3 years ago

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Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7

vlabodo [156]

Answer: 17.75

Step-by-step explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

10.4, 16, 21.7

Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

Then to get the IQR subtract 6.95 from 24.7 to get 17.75

Hope it helps <3

5 0

4 years ago

Find the mean absolute deviation for the set s={85, 90, 68, 75, 79}

FromTheMoon [43]

Answer: 6.48

Step-by-step explanation:

Mean is 79.4, population size is 5

MAD formular is addition of variance point /population size

n∑∣xi−xˉ∣

8 0

4 years ago

Write the missing addend that makes the number sentence true. 8+5=10 + -------

stepan [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

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The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder is 1628 m

MA_775_DIABLO [31]

Answer:

4618.14 $m^{3}$ or 4618 $m^{3}$

Step-by-step explanation:

From T.S.A = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

where T.S.A = 1628 $m^{2}$

1628 = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

1628 = ( rh + $r^{2}$ ) 2 $\pi$

by dividing both side by 2 $\pi$

$\frac{1628}{2\pi }$ = rh + $r^{2}$

259.10 = rh + $r^{2}$

rh = 259.10 - $r^{2}$

h = $\frac{259.10 - r^{2} }{r}$ (1)

From Radius + Height = 37

r + h = 37 (2)

by substituting eqn 1 into 2

r + $\frac{259.10 - r^{2} }{r}$ = 37

by multiplying r to both side

$r^{2}$ + 259.10 - $r^{2}$ = 37r

259.10 = 37r

r = $\frac{259.10}{37}$

r = 7.00 ≅ 7

From Eqn 2

r + h = 37

7 + h = 37

h = 37 - 7

h = 30

so Volume of a cylinder = $\pi r^{2} h$

V = $\pi$ * $7^{2}$ * 30

V = 4618.14 $m^{3}$ ≅ 4618 $m^{3}$

4 0

4 years ago

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