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3 years ago

Calculating Distance around a Polygon

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

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Simplify: (8x4)(4x3)/7x2 A. 32x5/7 B. 1/28x C. 1/3x D. 7/9x4

BlackZzzverrR [31]

The Answer is A:

Simplify the following:
(8×4 x^4 x^3)/(7 x^2)

Combine powers. (4 x^3×8 x^4)/(7 x^2) = (4 x^(4 + 3 - 2) 8)/7:
(4×8 x^(4 + 3 - 2))/7

4 + 3 - 2 = 5:
(4×8 x^5)/7

4×8 = 32:
Answer: (32 x^5)/7

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2/5x+y=3 solve the equation for y.

stira [4]

2/5x+y=3

-2/5x -2/5x

y=-2/5x+3

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

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3 years ago