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3 years ago

a polygon has the following coordinates: A(-4,-5), B(-2,-3), C(4,-3), D(6,-2), E6,6), F(-1,6), G(-4,2). Find the length of GA.

1 answer:

3 0

GA = 7.

We use the distance formula to answer this:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}
\\
\\=\sqrt{(2--5)^2+(-4--4)^2}
\\
\\=\sqrt{(2+5)^2+(-4+4)^2}=\sqrt{7^2+0^2}=\sqrt{49}=7$

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16/25 divided by 15/8

MA_775_DIABLO [31]

Answer:

i think it's 20/8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Given that <img src="https://tex.z-dn.net/?f=z%3Dx%2Biy" id="TexFormula1" title="z=x+iy" alt="z=x+iy" align="absmiddle" class="l

Mnenie [13.5K]

Answer:

$z= 5-2i$

Step-by-step explanation:

Start replacing!

$(x+iy) + 4i (x-iy) = -3+18i \\ x+iy +4ix -4i^2 y = -3 + 18i \\\\x + i (4x+y) +4y = -3 + 18i\\x+4y + (4x+y) i = -3 + 18i$

Now two complex numbers are equal if both the real and imaginary parts are equal, which gives you the system of equation $\left \{x+4y=-3} \atop {4x+y=18} \right.$

Pick any method to solve it and you'll get $x=5, y= -2$

6 0

3 years ago

A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches. Which is the best estim

OverLord2011 [107]

Given: In Δ ABC, ∠B =90° , ∠C = 30° , ∠A = 60° and Hypotenuse AC = 10 inches

It has been described in the attachment.

Now, we shall calculate side AB and BC by using Trigonometric Ratios.

Sin 30° = AB / AC

or, AB = 10 × Sin 30° = 10 × 0.5 = 5 inches

And, Cos 30° = CB / AC

or, CB = 10 × Cos 30° = 10 × 0.866 = 8.66 inches

Now, we shall calculate the perimeter of the given triangle

Perimeter of the triangle = AB + BC + CA

or, = (5.0 + 8.66 + 10.0 ) inches

or, = 23.66 inches ≈ 23.7 inches

Hence, the best estimate for the perimeter of the triangle ( round to the nearest tenth will be 23.7 inches.

8 0

3 years ago

Read 2 more answers

Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 we

Brut [27]

Answer: 1008 letters

Step-by-step explanation:

From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:

= 1 - (1/6 + 1/12)

= 1 - (3/12)

= 9/12 = 3/4

We will now multiply 3/4 by 1344 to get the number of letters delivered.

= 3/4 × 1344

= 1008 letters

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3 years ago

What is the equivalent expression of 8x+7y+5x+4y+2y

Natalija [7]

Answer:

13x+13y

Step-by-step explanation:

(combine like terms)

8x+5x=13x

7y+4y+2y=13y

hope this helped you!

4 0

3 years ago