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3 years ago

11

Can somebody please help

2 answers:

ASHA 777 [7]3 years ago

8 0

It should be :

2 x 10^5

WARRIOR [948]3 years ago

4 0

Answer:

yea what she put try taking a picture

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Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

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

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

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3 years ago

Name the set(s) of numbers to which 1.18 belongs.

FrozenT [24]

Answer:

Rational numbers

Step-by-step explanation:

Since 1.18 is a decimal number, it cannot belong to the set of integers or whole numbers.

However, also because it's a decimal number, it is rational because it can be written in the form p/q: $1.18=\frac{118}{100}$ .

Thus, 1.18 is only a rational number.

Hope this helps!

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3 years ago

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Answer:

$a^2 + b^2 = c^2\\6^2 + 10^2 = c^2\\36 + 100 = c^2\\136 = c^2\\\sqrt{136} = \sqrt{c^2} \\11.66 in = c$

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2 years ago

What is a direct proportion.

kipiarov [429]

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant. Hope this helps!

Step-by-step explanation:

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X + 8 = -7 help me our only got 5 more minutes !

Nastasia [14]

x + 8 = -7

move +8 to the other side

sign changes from +8 to -8

x+8-8= -7-8

x=-7-8

Answer:

x= -15

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