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gayaneshka [121]

2 years ago

5

Please help and explain your work

1 answer:

Ilia_Sergeevich [38]2 years ago

6 0

Answer:

416mm³

Step-by-step explanation:

Volume of rectangular prism

= 10.4mm × 5mm × 8mm

= 416mm³

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A regular polygon had n-folds rotation symmetry. how many line of symmetry must it have

VashaNatasha [74]

6.6 Symmetries of Regular Polygons A Solidify Understanding Task A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line segment that connects non-consecutive vertices of the polygon. For each of the following regular polygons, describe the rotations and reflections that carry it onto itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation) 1. An equilateral triangle 2. A square 3. A regular pentagon 4. A regular hexagon

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2 years ago

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To the Pythagorean Theorem

Aloiza [94]

Answer:

x = 29

Step-by-step explanation:

$c^{2} = a^{2} + b^{2}$

$c^{2} = 20^{2} + 21^{2}$

$c^{2} = 400 + 441$

$c^{2} = 841$

$\sqrt{c^2} = \sqrt{841}$

$c = 29$

4 0

2 years ago

Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25

Sergio039 [100]

Answer:

1. $137.75

3. $149.15

Step-by-step explanation:

1.

12.25+125.50=137.75

3. 8.25% of 137.75= 11.4

137.75+11.4=149.15

3 0

2 years ago

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I NEED HELP PLEASE, THANK YOU!

bixtya [17]

Answer:

$\sqrt{37}$

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = $\frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = $\frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{37}{\sqrt{37} }$

Rationalise the denominator by multiplying numerator/ denominator by $\sqrt{37}$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

5 0

2 years ago

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A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = $length*width$

= $72\times56=4032$ cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

$4032=x*21$

$x=\frac{4032}{21}=192$

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

$\frac{192}{72}=\frac{8}{3}$ or $\frac{56}{21}=\frac{8}{3}$

Hence, the constant of variation is $\frac{8}{3}$

7 0

2 years ago