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3 years ago

What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

$Perimeter=UV+VW+WX+XY+YZ+ZU$

$Perimeter=9+2+3+3+6+5$

$Perimeter=28$

Therefore, the perimeter of UVWXYZ is 28 units.

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zmey [24]

Answer:

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3 years ago

Simplify the expression.

alexira [117]

we have

$\sqrt[4]{768x^{8}y^{5}}$

we know that

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$({768x^{8}y^{5})^{\frac{1}{4}}=({2^{8}3x^{8}y^{5})^{\frac{1}{4}}$

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An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length

shutvik [7]

Options A,B and D. The correction about the area of the triangle are

The apothem can be found using the Pythagorean theorem.
The apothem can be found using the tangent ratio.
The length of the apothem is approximately 2.5 cm.

<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>

Firstly this is an equilateral triangle

3 of the sides have the length of 8.7cm

b = half of 8.7

= 4.35cm

To get A we have

a² + b² = c²

a² + 4.35² = 5²

When we solve this out we would have

a² = 25 - 18.9225

a ≈ 2.5 cm.

Hence we have proved that the first option is correct.

For B,

In an equilateral triangles, each of the angles = 60 degrees

60/2 = 30 is the angle that is made from the base

<h3>using tangent ratios </h3>

a / 4.35 = tan 30

then a = 4.35 tan 30

This would also give us an approximate of 2.5

For D

The calculations we have done based on the statements in A and B shows that D is correct as 2.5.