“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.” a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm

Answer:

The mean score would decrease more than the median score

Step-by-step explanation:

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

The parent function given is

The transformed function given is

There is a reduction in the slope of the functions which makes the transformed function become less steep

The slope reduced from

There is also a change in the intercept from

And this indicates that the transformed function has been shifted up by 7 units

With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is

The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up

Hence, The correct answer is OPTION C

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Answer:

7.722 cm^2

Step-by-step explanation:

To find the area of the shaded area, you need to subtract the area of the circle from the area of the square. The area of the square is easy: just the square of the side length. In this case, the area is 6^2=36 square centimeters. The area of the circle is:

\(\pi r^2 = \pi (3)^2 = 9\pi \approx 28.278\)

Thus, the area of the shaded region is 36-28.278 = 7.722 square centimeters.

Answer:

x=-4

Step-by-step explanation:

this is if by roots, the problem is asking for the zeros of the equation

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

here's the answer

2.4×10×12=288Miles

Answer:

Step-by-step explanation:

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

Read more on average here: brainly.com/question/878454

#SPJ1

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

Read more about box plot at

https://brainly.com/question/3473797

#SPJ1

Answer:

mom this u?

Step-by-step explanation:

Answer:

0,00567×10¹

Step-by-step explanation:

Para convertir a notación decimal:

0.00567×10¹

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

Read more about triangles at:

brainly.com/question/17972372

#SPJ9

Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

The inverse of a function is the relation that is formed when the function is transformed over the line \(y=x\)

Explanation:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

\(f(x)= 5x + 10\)

\(y= 5x + 10\)

\(x= 5x + 10\)

\(x-10=5y\)

\(\dfrac{x-10}{5}=y\)

So, \(f^{-1}(x)=\dfrac{x-10}{5}\)

Answer:

7 degrees

Step-by-step explanation:

ANSWER: The glass window will cost $252.00 for window replacement.

EXPLANATION:

The area of a square is given by the formula:

s^2

where s is the side length.

If we were to replace the glass window, and it will cost $7.00 per square foot, the total price will be:

FIND AREA OF THE GLASS WINDOW:

6^2 = 36 square feet

$7 per square foot so:

36 x 7 = 252

Therefore it will cost $252.00 to replace the glass window.

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

\(\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)\)

\(\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\\)

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

\(\boxed{x = 3 \ ; \ y = 4}\)

The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

Learn more about inequalities at.

https://brainly.com/question/24372553

#SPJ1

Ms.Javori decides to make a total of 45 cupcakes for a fun Friday celebration! 1/3 of the cupcakes had chocolate frosting and the rest had vanilla frosting. out of the cupcakes that have vanilla frosting, 2/5 of them also had sprinkles and the others had no sprinkles. how many cupcakes had vanilla frosting but did not have any sprinkles?​

we have that

1) total 45 cupcakes

2) 1/3 of the cupcakes had chocolate frosting -----> (1/3)(45)=15

3) 2/3 0f the cupcakes had vanilla frosting -----> (2/3)(45)=30

4) 2/5 of 30 had sprinkles------> (2/5)(30)=12

5) 3/5 of 30 had no sprinkles ------> (3/5)(30)=18

therefore

Answer:

For question 1, the correct answer is option C

For question 2, the correct answer is option B

Step-by-step explanation:

Problem A

A phenomenon is observed many times, under identical conditions. The proportion of times a particular event occurs is referred to as the probability of the event.

The correct option is C

* Use the instance of the tossing of a coin. The phenomenon that is observed here could be "the face of the coin that shows up after each toss". The number of times this is observed is = number of times the coin is tossed. The phrase "Under identical conditions" would mean that the coin is tossed in an identical manner e.g. 6feet high each time. The proportion of times a particular event (either HEAD showing up or TAIL showing up) occurs is the probability of that event's occurrence!

Problem B

The collection of all possible outcomes of a random phenomenon (in a given experiment) is called the distribution of the random phenomenon.

The correct option is B

Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

The function represents f ( x ) is f ( x ) = 32 ( 3x - 1 )

Given :

The table represents some points on the graph of linear function f.

Table :

x        -2         1        5       10

f ( x ) -224   64     448   928

take two points ( 5 , 448 ) and ( 1 , 64 )

slope m = 64 - ( 448 ) / 1 - ( 5 )

= 64 - 448 / 1 - 5

= -384 / -4

= 384 / 4

= 192 / 2

= 96

( 1 , 64 ) on

y -  64 = 96 ( x - 1 )

y - 64 = 96x - 96

y = 96x - 96 + 64

y = 96x - 32

take 32 as common

= 32 ( 3x - 1 )

Learn more about the function here:

https://brainly.com/question/9046022

#SPJ4

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

for more such questions on domain

https://brainly.com/question/2264373

#SPJ8

We can use logical reasoning to conclude that the order is "teenager, little boy, tall man, and woman" as per the explanation below, based on the clues.

Logical reasoning is a process of using rational thinking and deduction to arrive at a conclusion based on available information. In the given problem, logical reasoning is used to analyze the provided clues and determine the order of the four people standing in line.

By carefully examining the clues and using a process of elimination, we can deduce the position of each person in the line. We use logical reasoning to eliminate the possibilities that contradict the given information, and to arrive at the correct sequence that fits all of the provided conditions.

First, we know that the tall man is between the woman and the little boy. So, they can appear in either of the following orders:

However, we are told that the little boy is next to a teenager who is not last. So:

Thus, we can conclude that we have correctly answered this question.

Learn more about logical reasoning here:

https://brainly.com/question/30064323

#SPJ1

Answer:

340 pages total

Step-by-step explanation:

52+46+51+42+30+44+75=340

hope this helped!

Answer:

340 pages total

Step-by-step explanation:

Just add all the numbers together :)

We have that   the percent of increase in the temperature   is mathematically given as
P=81.376%

Question Parameters:

During an experiment, the temperature of a solution changes from 945°F to 1714°F.

Generally the equation for the Rise in temperature is  is mathematically given as

945=1714*x

x=0.55

Therefore

55% of 1714 gives 945

Hence, The parentage increase is

P=(1714-945)/945*100

P=81.376%

For more information on Temperature

https://brainly.com/question/13439286

Answer:

the answer is 76.02

Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease