907,701,000,000,00 in scientific notation

1. Use the figure below to answer the questions.<br><br> (a) Solve for x.

Dmitry [639]

Let's see what to do buddy...

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The sum of the angles of each n-sided figure is found in the following equation :

$(n - 2) \times 180$

The question's figure is 5-sindes figure

so the sum the angles equal :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

So we have :

$90 + 107 + 144 + 138 + x = 54 0 \\$

$479 + x = 540$

Subtract the sides of the equation minus 479

$x = 540 - 479$

$x = 61$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0

3 years ago

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>

7 0

3 years ago

Six divided by the difference of a number and 1, minus 5 divided by a number plus 1, equals 5 times the reciprocal of the diff

AleksandrR [38]

I am not very good you should probably ask someone else sorry

3 0

3 years ago

A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the

vladimir2022 [97]

Answer: the distance from one corner of the field to the other corner is 136 m

Step-by-step explanation:

The distance from one corner to the other corner is the diagonal and it

divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 110² + 80²

d² = 12100 + 6400 = 18500

d = √18500

d = 136 meters

5 0

2 years ago

Help please ASAP thx all of them

Radda [10]

Hi, these equations are pretty easy actually, first thing you should know when working with variables is that you always want to leave the variable alone, let's take the third excersise for example, 12x + 2 = 146. Here you just do the opposite on the other side of the equation depending if the number is positive or negative. Since x is being multiplied by 12 you first get rid of the 2, since its positive you subtract it to 146. Now the answer should be 12x = 144. Now since you're multiplying 12 to x you just divide 12 from 144, 144/12 = 12
x = 12

6 0

3 years ago