21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright

Answers

Answer 1
Right triangle
Right answer
Answer 2

The solution is Option C.

The triangle with sides 6 , 8 and 9 is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the sides of the triangle is

The measure of side AB = 6

The measure of side BC = 8

The measure of side AC = 9

Now , for a triangle

a² + b² > c² , the the triangle is an acute triangle

a² + b² = c² , then the triangle is right triangle,

a² + b² < c² , then it is an obtuse triangle

Now , If it is an equilateral triangle , a = b = c

Substituting the values in the equation , we get

AC² < AB² + BC²

9² < 6² + 8²

81 < 36 + 64

81 < 100

Hence , the triangle ABC is an acute triangle

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Related Questions

Hi if i have 8,000 saving for 12,000 how much more do i need?

Answers

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

It costs $7.75 to enter an arcade and $0.25 to play an arcade game. You have $8.25. Write an
equation that represents the number g of games you can play.
An equation is = 8.25.

Answers

Answer:

0.25g+7.75 less or equal to 8.25

Step-by-step explanation:

Answer:

The equation can be written as 7.75+0.25g=8.25 and in this case g would represent 2  

Step-by-step explanation:

An experiment has four groups and six observations in each group. What are the treatment degrees of freedom?a. 19b. 3c. 4d. 23e. 20

Answers

Answer:

3

Step-by-step explanation:

This experiment has four groups. Each of these groups have six observations

Total number of observations = 4 x 6 = 24

Treatment degrees of freedom can be gotten by using this formula

Df1 = K - 1

= 4-1

= 3

Therefore for this question, the treatment degrees of freedom is given as 3 and the correct answer option is b.

Answer:

Step-by-step explanation:

Hehe

The rabbit population in a certain area is 200% of last years population there are 1,100 rabbits this year, how many were there last year?​

Answers

Answer:

550

Step-by-step explanation:

1100/2=550

(can I get brainliest please)

I really need help with this assignment!

Answers

Answer:

hold up Im bout to help u give me a sec

Step-by-step explanation:

but yea imma see how this go let me read and I got u

х
(a) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches

Answers

Answer:Use the map of Maine to estimate the distance between the towns of China and New ... Since there are 4.5 centimeters between China and New Sweden, we can use a ... The scale model is a model of an object with dimensions that are in ... The child's picnic table is 22 inches tall, and the adult picnic table is 33 inches tall.

Step-by-step explanation:

Which fraction and decimal forms match the long division problem? A. B. C. D.

Answers

Answer:

C 4/15 and 0.266 repeating

Step-by-step explanation:

I used a calculator

Quadrilateral CARD is similar to quadrilateral SNOW.
4 mm
13 mm
15 mm
6 mm
Sim
What is the length of SW in millimeters?

Answers

Answer:

13 I think if i´m right please mark me brainliest please thank you and have a great day

Step-by-step explanation:

What is the 51st term of the arithmetic sequence 29,9,-11

Answers

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

29, 9, -11

The above sequence represents an arithmetic sequence:

The common difference d = 9 - 29

d = -20

The first term a = 29

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the AP:

a(n) = a + (n-1)d

a(n) = 29 + (n - 1)[-20]

a(n) = 29 -20n +20

a(n) = 29 -20n +20

a(n) = 49 - 20n

Plug n = 51

a(51) = 49 - 20(51)

a(51) = -971

Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

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John can jog 3,000 feet in 5 minutes if she jogs at the same rate how many feet can she jog in 8 minutes

Answers

Answer:

4,800 ft

Step-by-step explanation:

Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56

Answers

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

11x + 12 = 56

Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

whats 35% as a decimal.(show your work)

Answers

Answer: 0.35

Step-by-step explanation:

35÷100 = 0.35

Answer:

.35

Step-by-step explanation:

Honestly, the easiest way to do this is just to move the decimal two places right. Every (whole) number has a decimal behind it, including 35%. So...

35%=.35

I hope this helps you!! Have an amazing day ^^

Help guys, I’m sure it’s easy for y’all

Answers

Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

Profit is the amount of money that remains after all expenses of a project have been paid. The year has just​ ended, and Ajax​ Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling​ $7,435,000. The costs associated with each project​ were: Project​ 1: $1,245,000 Project​ 2: $985,689 Project​ 3: $1,723,000 Project​ 4: $2,567,054 Project​ 5: $633,768 How much profit did the company​ earn?

Answers

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project​ 1 = $1,245,000

Cost of Project​ 2 = $985,689

Cost of  Project​ 3 = $1,723,000

Cost of Project​ 4 = $2,567,054

Cost of Project​ 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

Imagine that you are of traditional college age and you apply for a direct marketing position, and in the interview for the position, you are told that you look to young for the position. You have been discriminated against. This is a violation of:___________

Answers

Answer:

when grounds intersect.

Step-by-step explanation:

Analyzing the information related to the question above, it is possible to identify that the candidate for the direct marketing position suffered a violation when the grounds intersect.

It is correct to state this on the basis that the candidate was of traditional university age, but in the interview it is said that young people are sought for the position.

This type of discrimination can occur when the individual is discriminated against due to overlapping of several reasons, in the case of the candidate he was seen as a person older than he appeared to be, even though he was a requested age.

Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?

Answers

Answer:

0.3

Step-by-step explanation:

Identify a diameter of circle E.

Answers

Answer: B) HI

Step-by-step explanation:

helpppppppppppppppp​

Answers

Answer:

the answer to the first question is the first one and the second answer might be the second one

1. A
2. B
hope this helped! merry christmas btw. <3

There are 40 marbles in a bin and 25% of the marbles are red how many in the bin are red

Answers

10 marbles are red.
25% of 40=10

Answer:

10 marbles

Step-by-step explanation:

25% * 40= 1000

1000/100=10

=10 marbles

How many moles are in 4.23 x 1024 formula
units of NaCl

Answers

Answer:

mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?

Step-by-step explanation:

There are approximately 7.035 moles of NaCl in 4.23 x 10²⁴ formula units of NaCl.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

An expression is 4.23 x 10²⁴

To determine the number of moles of NaCl in 4.23 x 10²⁴ formula units of NaCl:

We need to use Avogadro's number, which is defined as the number of particles (such as atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 x 10²³ particles per mole.

To convert the given number of formula units of NaCl to moles, we divide by Avogadro's number:

Number of moles of NaCl = (4.23 x 10²⁴ formula units of NaCl) / (6.022 x 10²³ formula units/mol)

Number of moles of NaCl = 7.035 moles (rounded to three decimal places)

Therefore, the required value is 7.035 moles.

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Solve the equation and determine how many solutions for the equation.

4c-20=-20+4c

Answers

Answer:

16c

Step-by-step explanation:

m+x=n- p , for x
A) X=-p+n+m
B) x=-m+n-p
C) x=m- n + p
D) x=-m-n+p

Answers

Answer:

x = n - m - p

Step-by-step explanation:

Solve m+x=n- p for x.

Start by subtracting m from both sides.  This isolates x as desired:

m + x = n - p

-m       = -m

--------------------

x = n - m - p


Sales tax is ,
to the price

Answers

Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

what is the common ratio for the geometric sequence 32,8,2,1/2?

Answers

The answer you will be dividing by is 4. hope this helps

A taxi hurries with a constant speed of 38 miles per hour. How long will it take to travel a distance of 95 miles? O A. 40 minutes B. 13 minutes OC. 2.5 hours OD. 1.5 hours​

Answers

C. 2.5 hours

95 miles/x h = 38 miles/h
x = (95 miles/h)/(38 miles) = 2.5 hours

What is the value of |5| - | -5| - (-5)? The solution is​

Answers

Answer:

5

Step-by-step explanation:

when we simplify it we get 5-5+5 which equals 5

A function is graphed below.



Which of the following represents the range of the function?

Answers

Answer:

el ranho de algo que esm ansgwne

PLEASE HELPPPPP
Find the sale price of the item. Round to two decimal places if necessary.

Original price: $208.34

Markdown: 72%
what is the sale price

Answers

The sale price is $58.34

Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).​

Answers

Answer:

y=-4x-4

Step-by-step explanation:

m=-4

point(-2,4)

y-4 = -4 (x- (-2) )

y-4 = -4 (x+2)

y-4 = -4x -8

y = -4x -4

Step-by-step explanation:

we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)

therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)

x square -4x+2x-8

therefore the equation is nothing but x square-2x-8

Does the point (8,0) lie on the line represented by 3x + 2y = 16?
O True
False

Answers

Answer:

false

Step-by-step explanation:

(0,8) is on the line, not (8,0) :)

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