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laila [671]
3 years ago
8

50 points + brainliest

Mathematics
2 answers:
attashe74 [19]3 years ago
7 0

Answer:

17.9 is your answer

Hope this helps

Step-by-step explanation:

xxTIMURxx [149]3 years ago
6 0
Solving this problem involves repeated application of the distance formula. In order to figure out which vertices we need to connect to another vertex, we should first plot the points on the coordinate plane to get an idea of what the polygon looks like. To form the sides of this polygon (which is, in our case, a pentagon), we'll need to connect the points in the following pairs:

(-2, -2) and (3, -3)
(3, -3) and (4, -6)
(4, -6) and (1, -6)
(1, -6) and (-2, -4)
(-2, -4) and (-2, -2)

In case you forgot, the distance formula is simply an application of the Pythagorean Theorem that treats the x-distance and y-distance between two points as the "legs" of a right triangle, and the shortest distance between them as the "hypotenuse."

If a and b are the legs of a right triangle, and c is the hypotenuse, the Pythagorean Theorem can be written as:

a^2+b^2=c^2

Or, if we're just looking for the value of c:

c=\sqrt{a^2+b^2}

Since the hypotenuse in our case represents <em>distance</em>, it's more descriptive to rename that variable <em>d</em>. Also, the "legs" a and b in this problem represent the distances between the x and y components of the two points. If we take any two points (x_1,y_1) and (x_2,y_2), the distance between the x components of those points would be their difference, x_2-x_1, and the distance between the y components would be y_2-y_1. Substituting that all in, the distance formula becomes:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

All that's left to do now is substitute our specific points into the formula for each side of the polygon:

(-2, -2) and (3, -3):
d=\sqrt{(3-(-2))^2+(-3-(-2))^2}\\ d=\sqrt{(3+2)^2+(-3+2)^2}\\ d=\sqrt{5^2+(-1)^2}\\ d=\sqrt{25+1}\\ d=\sqrt{26}\\ d\approx5.1

(3, -3) and (4, -6)
d=\sqrt{(4-3)^2+(-6-(-3))^2}\\ d=\sqrt{1^2+(-6+3)^2}\\ d=\sqrt{1+(-3)^2}\\d=\sqrt{1+9}\\ d=\sqrt{10}\\ d\approx3.2

(4, -6) and (1, -6)
d= \sqrt{(1-4)^2+(-6-(-6))^2} \\ d= \sqrt{(-3)^2+0^2} \\ d= \sqrt{9} \\ d=3

(1, -6) and (2, -4)
d= \sqrt{(2-1)^2+(-4-(-6))^2}\\ d= \sqrt{1^2+(-4+6)^2}\\ d= \sqrt{1+2^2}\\ d= \sqrt{1+4} \\ d= \sqrt{5}\\ d\approx2.2

(2, -4) and (-2, -2)
d= \sqrt{(-2-2)^2+(-2-(-4))^2}\\ d= \sqrt{(-4)^2+(-2+4)^2} \\ d= \sqrt{16+2^2}\\ d= \sqrt{16+4}\\ d= \sqrt{20} \\ d\approx4.5

Rounding beforehand and adding up all of the distances gives us a perimeter of 18 units, which is remarkably close to the more precise approximation of 17.96 units. Given your options, 17.9 units would be the closest to the result we obtained here.

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Solve 3x-4=√(2x^2-2x+2)
DiKsa [7]

Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation.  We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

       -b ± √discriminant           -(-22) ± √92             22 ± √92

x = ------------------------------- = ----------------------- = ------------------------

                   2a                                   14                            14

8 0
3 years ago
Without using trignometery tables find value of , cos70/sin20+cos57.cosec33 - 2cos60
Helen [10]
Here  is some thoughts on this:

cos 57  = sin (90-57) = sin 33 

so cos 57 . cosec 33 = cos 57 / sin 33 = sin 33 / sin33 = 1

2 cos 60 = 2 * 1/2  = 1

so the last 2 parts work out to 0 

now we have to find cos 70 / sin 20

sin 20 = cos 70  so this comes to 1


so finally the answer is 1
4 0
3 years ago
F(x) = 11x - 8
meriva

Solution:

100<em>x</em>^2-58<em>x</em>-16

6 0
2 years ago
Johnny is starting a zoo. His favorite animals are lions, tigers and snakes. These are the only animals in the zoo and he has th
Tatiana [17]

The total number of snakes in the zoo is 10.

<h3>How to use ratio to find the number of snake?</h3>

The number of snake can be found using ratio as follows:

The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.

Therefore,

total snakes = 2 / 10 × 50

total snakes = 100 / 10

total snakes = 10

Therefore, the total number of snakes in the zoo is 10.

learn more on ratio here: brainly.com/question/14524026

#SPJ1

6 0
2 years ago
A pole that is 3.1 m tall casts a shadow that is 1.35 m long at the same time a nearby building casts a window that is 37.75 m l
Veronika [31]
Okay so you have to set it up as 3.1 over 1.35 and 37.75 over x then you solve for that by doing 37.75 times 1.35 which is 50.9625 and then divide by 3.1 and you get 16.4
                                                       
8 0
2 years ago
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