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enyata [817]
3 years ago
13

The perimeter of a regular hexagon depends on the length of its side. Write the formula that describes this perimeter as the fun

ction of side’s length.

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

Step-by-step explanation:

A. Write an equation to represent this direct variation. Make sure to define your variables.

 We define the variables:

 P = perimeter

 L = sides of the square

 The equation that represents this proportional variation is:

 P = 4L

 B. In complete sentences, use a specific example to justify your equation from part A. Include a drawing in your answer.

 Example: consider a square of sides 4 units. Find the perimeter.

The perimeter of the square can be found in two ways:

 Way 1:

 P = 4 + 4 + 4 + 4 = 16

 Way 2: 

 Using equation of part A:

 P = 4L

 P = 4 * (4)

 P = 16

 Note: see attached image.

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At the start of the year a summer holiday to Spain cost £650. It increased by 11% in
olga nikolaevna [1]

Answer:

Final cost = £779

Step-by-step explanation:

It is given that:

Cost of summer holiday =  £650

Amount increased by 11%

Increased cost = 11% of 650

Increased cost = \frac{11}{100}*650

Increased cost = 0.11 * 650 =  £71.50

Amount after increment = 650 + 71.50 = £721.50

Further increase = 8%

Amount = 0.08 * 721.50 = £57.72

Final cost = 721.50 + 57.72 =  £779.22

Thus,

Final cost = £779

5 0
3 years ago
The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8,
vichka [17]

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64

6 0
3 years ago
what effect does doubling the radius of a cone have on the volume of the cone if the height remains the same
Butoxors [25]
V=(1/3)hpir^2
lets say this is original, undoubled volume
so o=v=(1/3)hpir^2

so for new volume, or n, that is r to 2r, doubled radius
n=(1/3)hpi(2r)^2
n=(1/3)hpi4r^2
n=4((1/3)hpir^2)
remmember that o=(1/3)hpir^2
n=4(o)

it is 4 times the old one
4 0
3 years ago
Quadrilateral RSTU has vertices R(1,3), S(4,1), T(1,-3) and U(-2,-1). Is it true or false that this is a rectangle because the d
Alex777 [14]

Given vertices ofQuadrilateral RSTU as R(1,3), S(4,1), T(1,-3) and U(-2,-1).

We need to check if diagonals are congruent.

The coordinates of verticales diagonal RT are R(1,3) and  T(1,-3).

The coordinates of verticales diagonal SU are S(4,1), and  U(-2,-1),

By applying distance formula:

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

RT = =\sqrt{\left(1-1\right)^2+\left(-3-3\right)^2}=\sqrt{36}

RT = 6

SU  =\sqrt{\left(-2-4\right)^2+\left(-1-1\right)^2}.

=2\sqrt{10}.

Diagonal RT is not congruent to Diagonal SU.

Therefore, Quadrilateral RSTU  is not a rectangle because the diagonals are not congruent.

So, it is False.

6 0
3 years ago
2.5 is what percent of 4?
vladimir1956 [14]

Answer:

0.4%

Step-by-step explanation:

is the wright answer

8 0
3 years ago
Read 2 more answers
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