What is the exact definition of the Pythagorean Theorem and who invented it.

Answer:

option D.

Step-by-step explanation:

1) cosx=cotx;

[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]

[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]

where n,k∈Z;

2) if x∈[0;2π], then x=π/2; 3π/2.

Note, the greek letter 'Θ' is replaced with 'x'.

Answer:

π/2, 3π/2

Step-by-step explanation:

Given :-

To Solve :-

Solving :-

Answer:( 8,8)

Step-by-step explanation:

Answer:

length of AB is 10

Step-by-step explanation:

rise=8

run=6

[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]

[tex] \sqrt{100} = 10[/tex]

Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]

[tex]\\ \rm\Rrightarrow 13:12[/tex]

#2

Ratio

[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]

[tex]\\ \rm\Rrightarrow 12:25[/tex]

Answer:

a) 13:12

b) 12:25

Step-by-step explanation:

a) ratio of girls to boys

260:240 or 13:12

b) ratio of boys to the total number of pupils

240:(240+260) or 240:500 or 12:25

The basic way to find this is by simplifying.

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Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

Answer:

10

Step-by-step explanation:

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

Answer:

270°

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Answer:

A. y=-2x+1

Step-by-step explanation:

rise over run rise(up or down) 2 run(right or left) 1

The probability that the student was male, given the student chose to fly as their superpower is 2/3.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Total females = 48

Females and invisibility = 32

P(invisibility/female) = 32/48

= 2/3

Thus, the probability that the student was male, given the student chose to fly as their superpower is 2/3.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

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Answer is in the image, proof also has given

▪ Answer:

n = 17

d = 8

▪ Step-by-step explanation:

Hi there !

1 nickel = 5c

1 dime = 10c

$1.65 = 165c

n + d = 25 => n = 25 - d

5n + 10d = 165

replace n

5(25 - d) + 10d = 165

125 - 5d + 10d = 165

5d = 165 - 125

5d = 40

d = 8 (dimes)

n = 25 - d

n = 25 - 8

n = 17 (nickels)

Good luck !

Answer:

C. There is a $2 fee to park, before the number of hours are factored in.

Step-by-step explanation:

Given that the equation, [tex] y = 3x + 2 [/tex], represents total cost charged for at a parking lot for customers to park their car, thus:

the "x" represents the number of hours,

3 represents the charged fee per hour

2 represents the flat fee charged, which is the starting fee, before the number of hours is calculated and added.

Therefore, the answer is "C. There is a $2 fee to park, before the number of hours are factored in."

Answer:

  A.  2/(1 -x)²

Step-by-step explanation:

The derivative of a ratio is given by the formula ...

  d(u/v) = (v·du =u·dv)/v²

Here, we have ...

  u = 1+x; du = 1·dx

  v = 1 -x; dv = -1·dx

Then ...

  [tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]

__

Additional comment

The formula used above is a combination of the power rule and the product rule.

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24

Answer:

You should multiply 5.5 by 7 and it is equal to 38.5 so it is D

explanation:

did the test hope this helps! :D

The constant of proportionality of the given condition is 5.5.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Matthew and Rosa's constant of proportionality is K.

Now,

Matthew bought 2 movie tickets for $11.

So,

11 ∝ 2

11 = K 2 ⇒ K = 5.5

Now,

Rosa bought 7 movie tickets for $38.50.

So,

38.50 ∝ 7

38.50 = K 7 ⇒ K = 5.5

Hence "The constant of proportionality of the given condition is 5.5".

For more information about ratio and proportion,

brainly.com/question/26974513

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Answer:

B) 1 8/27

Step-by-step explanation:

First, change all mixed fractions into improper fractions:

2 1/3 = 7/3

1 4/5 = 9/5

7/3 ÷ 9/5

Next, flip the second fraction, and change the division sign into multiplication:

7/3 x 5/9

Multiply across:

7/3 x 5/9 = 35/27

Change into a mixed fraction:

35/27 = 27/27 + 8/27

1 8/27 is your answer.

~

4

Step-by-step explanation:

The green line has a slope of because it is parallel with the red line

Lines which are parallel have same slope

y=7/4x-3 or y=1.75x-3

Answer:

15

Step-by-step explanation:

first you divison

18 ÷ 3

which equals 6

then you add 9

which equals 15

Answer:

15

Step-by-step explanation:

use PEMDAS so divide 18 by 3 first and the add it to 9

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

• Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

• Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

Answer:

24

Step-by-step explanation:

12 + 12 = 24

Answer:

it is 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]

[tex]v+w[/tex]

[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]

~

Answer:

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Answer:

[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes ⅕. Now, proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Answer:

i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000

estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000

also i'm very sorry if this didn't help you! but i really hope this did help you out a little

Answer:

This depends on the person, try measuring how many calories you eat in 1 day. By gathering that information you can determine if you are either eating more calories or less

9514 1404 393

Answer:

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

__

This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°