A triangle has sides with lengths of 12 meters, 19 meters, and 20 meters. Is it a right triangle?

Answers

Answer 1
Answer: No it is not a right triangle.

======================================================

Work Shown:

[tex]a = 12\\\\b = 19\\\\c = 20\\\\a^2+b^2 = 12^2+19^2 = 505\\\\c^2 = 20^2 = 400\\\\[/tex]

The values of [tex]a^2+b^2[/tex] and [tex]c^2[/tex] are not the same number

Therefore, there's no way that [tex]a^2+b^2 = c^2[/tex] is possible, which means we do not have a right triangle.

Put another way: since [tex]a^2+b^2 \ne c^2[/tex], this means we don't have a right triangle.

Refer to the converse of the pythagorean theorem for more information.

Side note: because of that same theorem, and because [tex]a^2+b^2 > c^2[/tex] is the case, this means we have an acute triangle based on what is shown below.

A Triangle Has Sides With Lengths Of 12 Meters, 19 Meters, And 20 Meters. Is It A Right Triangle?

Related Questions

which unit of measure would be appropriate for the area of a bulletin board that is 2 meters tall and 6 meters wide

Answers

Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.

In how many ways can the letters of the word COMPUTER be arranged in a row if the letters C and O can not stand next to each other

Answers

Answer:

35280ways

Step-by-step explanation:

let X be the number of ways the letters can be arranged with no restriction,

let M be the number of ways they can be arranged if the letters C and O must stand together,

and let the number of ways the letters C and O can be arranged if they can not stand together.

X=8!

M= 7!

N=X–M=8!–7!=35280 ways

what is the answer for 0.32+12.965+1.1 and could you explain how you got the answer​

Answers

answer: 14.385

Add the numbers as if they were whole numbers.Place the decimal point in the sum  so that it lines up vertically with the numbers being added.

hope this helps:)

PLEASE HELPPPPPPPPPPPP!!!

Answers

a) 1+7n
b) 12+4n
Where in both cases n starts from 0

Any ideas for this question

Answers

Answer:  36pi (choice b)

===========================================================

Explanation:

Let x = length of side BC

This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD

If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly [tex]\sqrt{12-x}[/tex]

This is the radius of the cylinder

The volume of a cylinder is [tex]V = \pi*r^2*h[/tex]

Plug in the radius and height mentioned to get this function in terms of x

[tex]V = \pi*\left(\sqrt{12-x} \ \right)^2*x[/tex]

That simplifies to

[tex]V = \pi(12-x)x[/tex]

or

[tex]V = \pi(12x-x^2)[/tex]

Ignore the pi portion for now.

We wish to maximize the function f(x) = 12x-x^2

Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)

This means x = 6 leads to the largest f(x) value being 36.

Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.

Is renters insurance a fixed or variable expense?​

Answers

[tex]\huge\purple{Hi!}[/tex]

renters insurance is a Fixed expenses

math 7 grade eog 2022 ansers

Answers

Answer: N/A

what is that dude

Question 3

the three straight paths, ab, bc, and ac meet each other at three points, a, b, and how do these points of intersection differ from each

other? explain the differences in terms of the angles that you see. also look at the length of the side opposite each angle. what pattern do you see

regarding the measurements? in what situation would all the points of intersection resemble one another modify the triangle in geogebra to

help you with your answers

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font sizes

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characters used: 0 / 15000

submit

airfax county public schools

Answers

To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

What is a triangle?

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

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HELP ASAP

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27

Rewrite the formula in factored form and select each true statement below.

The swimmer is underwater for 12 seconds.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The swimmer dives into the water 12 seconds after the timer was started.

Answers

The correct true statement is the swimmer comes back up 9 seconds after the timer was started.

Maximum height of a function

The maximum height of a function is the  point where the velocity the body is zero.


Given the function that represent the height of the swimmer as  h(t)=t^2−12t+27

If the velocity of the function is zero, hence;

h'(t) = 2t - 12

0 = 2t - 12

2t = 12

t = 6secs

Substitute t = 6 into the function as shown:

h(6) = 6^2−12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.

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A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

to determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.

Answers

The correlation coefficient between the student's height and the distance they were able to jump is 0.86.

What is the correlation coefficient?

The correlation coefficient is a number that ranges from -1 to 1. It shows the strength of the relationship between two variables. It also shows the direction of the relationship.

Positive correlation is when the two variables move in the same direction. If one variable increases, the other variable also increases. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. Zero correlation is when there is no relationship between the variables.

The correlation coefficient is calculated using a financial calculator.

Here is the complete question:

A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.

Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.

Enter the correlation coefficient. Round your answer to the nearest hundredth.

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Answer:

It's 0.92

Step-by-step explanation:

I took the test already

For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .


Which statement verifies that quadrilateral WXYZ is a parallelogram?

The difference of the slope of adjacent sides is .
The slopes of adjacent sides are opposite reciprocals.
The opposite sides have the same slope.
XY and YZ have the same slope.

Answers

The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.

What is a Parallelogram?

This refers to a four-sided figure that is used in geometry and has parallel opposite sides.

Hence:

Remember that the opposite sides of a parallelogram are parallel.

We would solve:

Slope WX = 0

Slope XY= 5/2

Slope XZ= 0

Slope ZW= 5/2

The next step would be:

Slope WX= Slope YZ

Slope XY = Slope ZW

Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram

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Solve 2x + 5y = −13
3x − 4y = −8
(4, 1)

(−4, 1)

(4, −1)

(−4, −1)

Answers

Answer:

Step-by-step explanation:

6x + 15y = -39

-6x + 8y = 16

23y = -23

y = -1

2x - 5 = -13

2x = -8

x = -4

(-4, -1)  

Option 4

Answer:

(−4, −1)

Step-by-step explanation:

I got it right on the test

(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answers

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√

Answers

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

Please Help I Don't Understand!

Answers

Answer:

a reduction

Step-by-step explanation:

this is because its growing smaller

Answer:
Reduction

Explanation:
The heart reduced its size (went smaller).

Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]

Answers

Step-by-step explanation:

the right answer is 1.714

How can I solve this:

Simplify

Answers

Answer:

see the attachment photo!

Answer:

the answer is 7! hope this helps

Step-by-step explanation:

Solve the system of equations x + y = 14 and 5x - 3y = 38 by combining equations. +y = 14) -3y =38) (5x X +y = 14 5x -3y = 38 try 0x0y= You must answer all questions above in order to submit. ​

Answers

Answer:

6x+2y=52

Step-by-step explanation:

If you just drop down the answers, like for the first set x+5x=6x, so thats the first term and so on.

6x+2y=52


What he said

A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be blue?

Answers

Step-by-step explanation:

7red marbles,3 blue marbles,4 green marbles

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?

Answers

Similar triangles are triangles that has all sides and angles to be equal. The value of x if , ΔGEF and ΔHEF are congruent is 28

Similar triangles

Similar triangles are triangles that has all sides and angles to be equal. From the given diagram;

<GFE = <EFH

Given

<GFE = 60 degrees

<EFH = 2(x+2)

Substitute

2(x+2) = 60
2x + 4 = 60

2x = 60 - 4

2x = 56

x = 28

Hence the value of x if , ΔGEF and ΔHEF are congruent is 28

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The diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations

Answers

Try maybe just try hello reply back asap

Anyone know how to do this?

Answers

Answer:

the tangent ratio should be the length of the leg opposite to angle D to the length of the leg adjacent to angle D

Step-by-step explanation:

tangent is opposite over adjacent

What is the slope of the line containing (-3, 1) and (1, -2)?
O A
OB.
O C.
O D.
314
413
-
314
43

Answers

(-3,1)(1,-2)

Slope:-

m=y2-y1/x2-x1m=-2-1/1+3m=-3/4

The slope of the given function is -3/4.

What is a slope?

Slope is a value that describes the steepness and direction of a line.

Given are the points that lie on line, we need to find the slope of the line,

So,

m = y₂ - y₁ / x₂ - x₁

The ordered pairs are :-

(-3, 1) and (1, -2)

So, the slope (m) = -2-1 / 1+3 = -3/4

Hence, the slope of the given function is -3/4.

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(72 divided by 8-x2x3+1

Answers

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

Identify the type of function represented by
f(x) = 4.2x
OA. Decreasing linear
OB. Exponential growth
OC. Exponential decay
OD. Increasing linear

Answers

The function is an increasing linear function

How to determine the function type?

The function is given as:

f(x) = 4.2x

The above function is a linear function, because linear functions are represented as:

f(x) = mx + b

Where m represents the slope.

A positive slope represents an increasing linear function.

By comparison;

m = 4.2

4.2 is positive

Hence, the function is an increasing linear function

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To predict the outcome of the vote for the town budget, the town manag assigned random numbers and selected 12F registered voters. He then called these vote and asked how they planned to vote. Is th town manager's sample representative of population? Explain.

Answers

The town manager's sample is not representative of population as he only picked females.

What is a sample representative?

It should be noted that a sample representative simply means a subset of a population which seeks to reflect the characteristics of the larger group.

In this case, the town manager's sample is not representative of populationas he only picked females. The males too ought to be given an equal chance.

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Write in point-slope form an equation of the line that passes through the given point and has the given slope. Point: (4, 8); m = 3/4

Answers

Answer:

[tex]\mathsf{y-8=\cfrac{3}{4}(x-4)}[/tex]

Step-by-step explanation:

Hi student, let me help you out!

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

First, let's recall the point-slope form equation: ↪ [tex]\mathrm{y-y_1=m(x-x_1)}[/tex].

where: y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).

Let's stick in the values accordingly. We obtain the following: [tex]\mathrm{y-8=\cfrac{3}{4}(x-4)}[/tex], which is our point-slope form equation.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{4}}[/tex]

which two ratios represents quantities that are proportional? A. 15/10 and 10/15 B. 20/25 and 16/20 C. 5/6 and 17/12 D. 15/21 and 20/24

Answers

Answer: B
20/25 = 4/5
16/20 = 8/10 = 4/5

Please help y’all I’ll do anything!!

Answers

Answer:

555

Step-by-step explanation:

If each side of a square is 15 miles, we can find the total distance travelled by finding how many sides of squares were travelled.

You could either count the boxes, or, as I'm going to do, you could calculate the length of each straight line.

I switch between the y axis and the x axis, because we are travelling in different directions (if moving up/down we pay attention to y-axis, if moving right/left we pay attention to x-axis)

From 'Home' to the 'Restaurant', we are travelling from 6 to -7 on the grid. So, if we want to know the distance between them, we need to figure out how far apart they are. This is similar to figuring how far apart any two numbers are--we find the difference. (6) - (-7) [6 + 7] = 13. So, the amount of squares travelled from home to the restaurant is 13.

[I pay attention to the values along the x-axis for these two points because we are considering the distance along the x-axis]

[y-axis because it is vertical travel]

Restaurant (at -5) to campground (at 2) has a distance of : 7

[x-axis because it is horizontal travel]

Campground (at -7) to Rest Area (at -3) has a distance of : 4

[y-axis travel]

Rest Area (at 2) to the endpoint of that line segment (at 8) has a distance of: 6

[x-axis travel]

Endpoint of line segment (at -3) to endpoint below destination (at 3)  has a distance of : 6

[y-axis travel]

Endpoint below destination (at 8) to destination (at 9) has a distance of : 1

We can then add all of the distance travelled:

13 + 7 + 4 + 6 + 6 + 1

= 37

37 sides of boxes were travelled, so we can multiply:

37 x 15

= 555

because each box length is 15 miles.

So, the family travelled 555 miles

Martin had 100 trees in his orchard the first year. Each year after that, he
increased the number of trees in his orchard by 10%, rounded to the nearest
whole number. How many trees did he have in his orchard in the sixth year?

Answers

Rate of increase=10%=0.1Time=t=6

So trees after 1 year

100+10=110

Trees after 2 years

110+0.1(110)=121

Trees after 3 years

121+0.1(121)133(Whole no)

Trees after 4years

133+0.1(133)146

Trees after 5 years

146+0.1(146)161

Trees after 6 years

161+0.1(161)177trees

Answer:

177

Step-by-step explanation:

This scenario can be modeled as an exponential function.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the number of trees increase by 10% each year, then the number of trees each year will be 110% of the number of trees the previous year.  Therefore, the growth factor is 110%.

Given:

a = 100 treesb = 110% = 1.10 (in decimal form)x = time (in years)y = number of trees in the orchard

Substituting the given values into the function:

[tex]\implies y=100(1.10)^x[/tex]

(where x is time in years and y is the number of trees in the orchard)

To find how many trees are in the orchard in the 6th year, input x = 6 into the found equation:

[tex]\implies 100(1.10)^6=177.1561=177\: \sf (nearest\:whole\:number)[/tex]

Therefore, Martin had 177 trees in his orchard in the sixth year.

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