Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational​

Answer:

C

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )

We are only given 1 side (AC) so require to find AB or BC using the Sine rule

the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°

using the Sine rule to find AB

[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )

AB × sin65° = 15 × sin67° ( divide both sides by sin65° )

AB = [tex]\frac{15sin67}{sin65}[/tex]

Now

A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°

   = [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°

  = [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C

Answer:

B

Step-by-step explanation:

First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.

Hope this helps!

The exact height of the triangle is 20.8ft

The area of the right tringle in radical form is 72√3 ft²

The area of the triangle in decimal form is 124.7 ft²

The side XY or height of the triangle can be found as follows:

Using trigonometric ratios,

tan 60° = XY / 12

XY = 12 tan 60°

XY = 12 × 1.73205080757

XY = 20.7846096908

height = 20.8ft

The area of XYZ = 1 / 2 bh

where

Therefore,

The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145  = 124.7 ft²

The area in radical form = 1 / 2 × 12 × 12 tan 60°

The area in radical form =  1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²

learn more on triangles here: brainly.com/question/2773823

#SPJ1

Answer:

  B

Step-by-step explanation:

A box and whisker plot is a graphical representation of the 5-number summary of a data set. It shows the minimum, maximum, median, and the values of the 1st and 3rd quartiles. Here, you're asked to identify the data set having the same 5-number summary as that shown in the plot.

__

The minimum of the data set is shown by the end of the left "whisker." The plot shows a minimum value of 41. Choice C has a minimum of 40, so is not the data set we're looking for.

The maximum of the data set is shown by the end of the right whisker. The plot shows a maximum of 50, matching all of the answer choices shown.

The median of the data set is shown by the vertical line in the middle of the box. Here, the median of the data set is indicated as 44. This will be the middle value, or the average of the two middle values of the set of data.

These sets of data have 10 values, an even number, so the median is the average of the middle two.

Choices A and B have a middle pair of 43 and 45, which means their median is (43+45)/2 = 44. Choice D has a middle pair of 43 and 47, so a median of (43+47)/2 = 45. Choice D is not the data set we're looking for.

The 1st and 3rd quartiles of the data set are shown by the left and right ends of the box, respectively. They are indicated as being 43 and 48.

The median divides the data set into two parts. It is not considered to be a member of either part. The 1st quartile is the median of the lower (left) part. The 3rd quartile is the median of the upper (right) part.

Here, each part has 5 data values, so the quartile values are 3rd from the ends of the data set. In choice A, they are 43 and 49, not a match to the given plot. In choice B, they are 43 and 48, matching the values in the given box plot.

The data set in choice B could be represented by the box plot shown.

Answer:

2/

For all values of x,

f(x)=2x-3

and

a) Find fg(x).

Simplify and give your answer in the form ax² + b

b) Find gf(x).

Simplify and give your answer in the form ax² + bx + c

g(x) = x² + 1

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

24x = 17 ×12

24×= 204

divide each side to get your awnser.

XD

Answer:

same rin tayo ganyan rin akin ang hirap

Step-by-step explanation:

good evening po

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

8x - 4y = 16

3x + 4y = 17

11x = 33

x = 3

12 - 2y = 8

-2y = -4

y = 2

(3, 2)

answer is C

Answer:

x = 142

Step-by-step explanation:

The sum of the internal angles in a hexagon is 720°

2x° + 150° +56° + 140° +90° = 720

2x° + 436° = 720°

2x° = 720 - 436

x° = [tex]\frac{284}{2} =142[/tex]

Hope this helps

Answer:

the mean is the average of a set of numbers

Step-by-step explanation:

for example, if a set of numbers were 1,2, and 3, the mean would be 2 because the average is 2.

This can be calculated by adding 1, 2, and 3, and dividing them among all three numbers

1+2+3 = 6

6/3 =2

there are three numbers in the data set that we were trying to get the mean from

give brainliest, please! hope this helps :)

Answer:

  generally, the sum divided by the number of summands

Step-by-step explanation:

In math the term "mean" can have different meanings, depending on the context. It will generally refer to the arithmetic mean, if no additional qualifiers are given. The arithmetic mean is also called the average.

__

The arithmetic mean of a set of numbers is their sum, divided by the number of numbers. It is sometimes represented by the Greek letter μ or a variable with an overbar.

  [tex]\overline{x}=\dfrac{x_1+x_2+\dots +x_n}{n}[/tex]

The geometric mean will be the n-th root of the product of n numbers.

  [tex]\text{geometric mean}=\sqrt[n]{x_1\cdot x_2\dots\cdot x_n}[/tex]

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.

  [tex]\text{harmonic mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dots+\dfrac{1}{x_n}}[/tex]

In a proportion written as ...

  a/b = c/d

The two values closest to the middle of the expression (b and c) are called the "means". Those farthest away (a and d) are called the "extremes". It is said that ...

  the product of the means is equal to the product of the extremes

Answer:

put formula a square minus b square

Answer: Transitive property of congruence

Answer:

x = 6, -3

Step-by-step explanation:

. . . . . . . . . . . . . . . . .

Answer:

x= 1.99

f(x) = 1.99x + 3

Step-by-step explanation:

Hope this helps! (;

By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.

Here we know that the initial height of the egg is 40ft, so the equation for the height will be:

[tex]h(t) = -16*t^2 + 40[/tex]

The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:

[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]

This means that the egg will hit the ground after 1.58 seconds.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Step-by-step explanation:

there is a problem here. based on your textual description none of the 4 answer possibilities are right.

you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.

so, everything -12 and smaller.

that is a <= -12

the other line starts with a closed (filled) point at -5 and goes to the right without end.

this is a >= -5

so, if your textual description is right, you need an answer option

a <= -12 or a >= -5

FYI

the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.

Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.

This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.

☆...hope this helps...☆

_♡_mashi_♡_

A face of solid is given by

" Faces are defined as the flat surfaces of any object enclosed by its edges or sides . It is always 2-dimensional."

According to the question,

A face of a solid,

It is a correct answer.

It is a correct answer.

It is not a correct answer.

It is not a correct answer.

Hence, a face of solid is given by

Learn more about faces here

https://brainly.com/question/15974556

#SPJ3

Answer:

the second one

Step-by-step explanation:

Answer:

by using pythagoras theorem

Step-by-step explanation:

the distance between sun and moon is hypoteneous

the distance between earth and sun is perpndicular

and distance between earth and moon is base

we can use,

tanx°=distance betwwen earth and sun/ distance betweenearth and moon

or,

sinx°= distance between earth and sun/ distance between sun and moon

we can use other formulas also same as above 2 examples

Hope ithelps

Answer:

The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).

Step-by-step explanation:

Label the triangle first.

- x should be theta

- y would be opposite (o) as it is across/opposite from the side where x is

- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.

The calculation that has o and h in it's formula is sine. The formula looks like :

Sin(Ф) = [tex]\frac{o}{h}[/tex]

To solve for the distance between the Sun and Moon, we plug it into the formula and solve

Sin(x) = [tex]\frac{d}{y}[/tex]

- where d is the distance between the Sun and Moon

hope this helps !! :D

Answer:

358 , 1790

Step-by-step explanation:

The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

a)Given polynomials;

⇒(3x − 2x² + 4) + (x² - 4x - 5)

⇒− 2x²+x²+3x-4x+4-5

⇒-x²-x-1

b)The opposite of the given polynomial is found by changing the sign in the polynomial as;

⇒3x² - x + 1

⇒(-3x²) -(- x) + (-1)

⇒-3x²+x-1

c)The subtraction operation in the polynomial is found as;

(x² + 3x-4) - (4x-2x²-3)

(x²-2x²)+(+3x-4x)+(-4+3)

-x²-x-1

Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).

To learn more about polynomials, refer to:

https://brainly.com/question/17822016

#SPJ1

Answer:

Angle of Elevation

If a person is looking up at an object, the angle of elevation is the angle between the horizontal line of sight and the object.  Angle of elevation problems can be solved by using trigonometry as the problem can be modeled as a right triangle.

The MIB agent is on the ground looking up at the alien at the top of the CN tower, and we need to find the angle he should shoot his laser gun.  Therefore, we need to find the angle of elevation.

Diagram attached, where [tex]x[/tex] is the angle of elevation.

To find the angle of elevation, use the tan trig ratio:

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the formula and solving for x:

[tex]\implies \tan(x)=\sf \dfrac{553.3}{67}[/tex]

[tex]\implies x= \tan^{-1} \left(\sf \dfrac{553.3}{67}\right)[/tex]

[tex]\implies x=83.09557654...^{\circ}[/tex]

Therefore, the angle of elevation is 83°  (to the nearest degree).

Answer:

12x7 4 times add it up u got the anwser

The symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

A polygon is a plane figure with at least three straight sides and angles, typically five or more.

In this case, the symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

Learn more about polygon on:

https://brainly.com/question/1592456

#SPJ1

Answer:d

Step-by-step explanation:

I don’t know but I got it right:)

From the below graph option B is correct.

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

It is also define as the graph of f to be the graph of the equation y = f(x).

Given,

Three different function for h(x)

[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]

From the above function,

x ≤ 0, the slope of the graph of h(x) is  [tex]\frac{1}{4}[/tex]

0 < x ≤ 3, the slope of the graph of h(x) is  [tex]\frac{1}{3}[/tex]

x ≥ 4, the slope of the graph of h(x) is  [tex]\frac{1}{2}[/tex]

As we progress from left to right,

The slope of h(x) increases  and the slope of the graph becomes steeper.

Therefore,

The graph starts at (4,0) and goes to the right.

Graph is missing in this question, So you might be referring to the one attached.

Learn more about function of graph here:https://brainly.com/question/27757761

#SPJ1

Answer:it’s option 2

Step-by-step explanation:

Answer:

y=48

Step-by-step explanation:

Answer:

$910

Step-by-step explanation:

there are 52 weeks in a year

52/2 = 26

if someone spends 35 every two weeks then

35x26=910

Answer:

840$

Step-by-step explanation:

2*2= 1 month (4weeks)

35*2= 70

70*12 (months of the year) = 840$