3. The trapezoid below contains a square and two right triangles. Find the perimeter of the trapezoid.

Answer:

3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²

x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Step-by-step explanatation:

Let's set unknown variables as y (and y₁, y₂, etc)

Question 1:

y *  (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

So, divide both sides by (6x² + 4x - 8)

y = 3x²

Question 2:

2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '

Divide both sides by 2x.

(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x

y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12

Question 3:

x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

Divide both sides by (18x² + 12x - 24)

x^y = x²

Question 4:

y₁  * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Divide both sides by (3x² + 2x - 4)

y₁  * x^y₂ = 6x²

y₁ = 6, y₂ = 2

I hope this helps! Feel free to ask any questions!

Answer:2.4 chapters

Step-by-step explanation:

Answer:A≈254.47m²

Step-by-step explanation:

Step-by-step explanation:

A=pi(r^

[tex]\pi {r}^{2} \\ \\ diameter \: is \: 18 \: meters \\ to \: find \: the \: radius \\ divide \: diameter \: by \: 2 \\ since \: the \: radius \: is \: \\ half \: the \: diameter18 \div 2 = 9 \: meters \\ \\ \pi {r}^{2} \\ \pi( {9}^{2} ) \\ \pi(81) \\ \\ area = 81\pi[/tex]

The logarithm base 10 of 0.00001 is -5.

The logarithm of 0.00001 can be evaluated using the base 10 logarithm, commonly denoted as log10.

In this case, log10(0.00001) is asking "What power of 10 gives us 0.00001?"

To understand this, let's rewrite 0.00001 in scientific notation.

0.00001 can be expressed as 1 x 10⁻⁵, where -5 is the exponent.

Therefore, log10(0.00001) = -5.

This means that 10 raised to the power of -5 equals 0.00001.

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Answer:

[tex]m=6+2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Given function:

Subtract the two fraction:

Therefore, the fraction that is left would be 1/4..

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

Given:

A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.

To find:

The value of x.

Solution:

From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.

Length of altitude = 18

If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.

By using geometric mean theorem,  we get

[tex]18=\sqrt{x\times 8}[/tex]            [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]

[tex]18^2=8x[/tex]

[tex]324=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{324}{8}=x[/tex]

[tex]40.5=x[/tex]

Therefore, the value of x is 40.5.

Answer:

it is a, or n=15

Step-by-step explanation:

Answer:

n=15 (No it's not cap)

Step-by-step explanation:

if the interior angle is 156 then to find the exterior angle we just do 180-156 which equals 24

360/24=15 so there are 15 sides

Answer:

17 gallons.

Step-by-step explanation:

was this a trick question

Answer:

2.83 3 repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

728 answer is C

Answer:

Step-by-step explanation:

[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]

Answer:

15x+8=180-97 , solve for x and u shall get the answer

Answer:5

Step-by-step explanation:

Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.

Answer:

C) [tex]s\geq 5[/tex]

Step-by-step explanation:

The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.

Hope it helps!

MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

Answer: $50

Step-by-step explanation:

From the question, we are informed that a certain man has a negative balance of P250 in his back account and that he then deposits P300 in his back account.

The current balance in his account? will then be gotten by adding the negative balance of $250 to the $300 deposited. This will be:

= -$250 + $300

= $50

Therefore, his current balance will be $50

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

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Answer:

Step-by-step explanation:

see calculate bro 3 = 100%

1.5 is 50%

0.50 is then 25%

Answer:

33.75

Step-by-step explanation:

The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.

It is required to find the volume of the prism.

It is defined as a three-dimensional space enclosed by an object or thing.

We have 5 feet tall prism ie.

height of the prism h = 5 feet

and base b = 3/2 feet

and length = 9 feet

We know the volume of the right triangle prism is given by:

[tex]\rm V = \frac{b\times h\times l }{2}[/tex]

Putting the values of b, h, and l, we get:

[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]

V = 33.75 cubic feets

Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

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Answer:

Step-by-step explanation:

44b-33