Mathematics High School

triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle

Answers

Answer 1

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Triangle ABC Has Perimeter 22cmAB= 8cmBC= 5cmby Calculation Deduce Whether Triangle ABC Is Right-angled

Related Questions

How do you write 872.8% as a decimal?

Answers

Answer:

.82

Step-by-step explanation:

Answer:

8.728

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.

Write an inequality that is represented by the graph.

Answers

Answer:

ff

Step-by-step explanation:

Does the order of operations apply to algebraic expressions?

Answers

Answer:

yes it does for algebraic expressions

Yes, it still applies to algebraic expressions.

O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?

Answers

Answer:

The artist's salary in the month is 8000.

Step-by-step explanation:

The salary of an artist is given by the function :

y = 2000 + 500x ....(1)

where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.

We need to find the artist's salary in the month she performed 12 shows.

Put x = 12 in equation (1)

y = 2000 + 500(12)

= 2000 + 6000

= 8000

Hence, the artist's salary in the month is 8000.

Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,

Answers

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct


I am a number. I am the
difference between the side
length of a square with area
81 cm^2 and a square with
area 36 cm^2?

Answers

Answer:

3

Step-by-step explanation:

to find side length of squares take square root of areas

first square side length: 9

second square side length: 6

difference between 9 and 6 is subtraction, 9-6=3

Your receipt for your visit at a restaurant is
shown below. If you leave a 15% tip, what is the
new total amount? Explain your method.

pls hurry

Answers

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.

What is the theoretical probability of selecting a rough bead?

Answers

The theoretical probability of selecting a rough bead is 1/2.

Total number of beads = 52

Number of rough beads = 26

Number of smooth beads =26

What is the probability?

Probability is the measurement of possibilities.

P(event) = favorable outcomes/total outcomes

P(rough) = number of rough beads/ total beads

P(rough) =26/52

P(rough) =1/2

Therefore, the theoretical probability of selecting a rough bead is 1/2.

To get more about probability visit:

https://brainly.com/question/24756209

Answer: 1/2

Step-by-step explanation:

Can someone help me with this I tried everything

Answers

Answer:

x < 11

Step-by-step explanation:

2x - 22  =   2 • (x - 11) 

Divide both sides by  2 

Add  11  to both sides

so your answer is

 x < 11

Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
OA. y- 4 - 3(x+2)
OB. y+2 = 3(x- 4)
OC. y-2 - 3(x- 4)
OD. y- 4 - 3(x- 2)

Answers

Answer:

A. y - 4 = 3(x + 2)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

Plug in the slope and given point:

y - y1 = m(x - x1)

y - 4 = 3(x + 2) is the equation

So, A is the correct answer.

Hey and help me help me help plzzzzzzzzz

Answers

Answer:17

Step-by-step explanation:

First you subtract 13-9 to find the distance between the 2 numbers. That gets you 4 but if the numbers are 2 spaces away from one another then that means that the number line increases by 2. Then you add 4 to 13 and that’s how you get 17.

You spend 264 dollars on clothes. Shirts cost 24 and pants cost :2 you buy a total of 9 items

Answers

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

7 + 24 .3
31
55
c
96
112

Answers

Answer:

The answer is 325.3

Step-by-step explanation:

I hope this helped I used a calculator sorry if I'm late and I hope this isn't wrong

8 to the 7th power/ 8 to the second power

Answers

Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                         

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

10 POINTS BEST ANSWER GETS BRAINLY

Answers

Answer:

b

Step-by-step explanation:

the y coordinate stays the same (same vertical thing) but x coordinate changes (goes horizontal)

I hope this helped, and if it did, please mark this as brainliest! Thanks!

what does b equal. 2/3b +19=35

Answers

2/3b + 19 = 35

          -19    -19

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

2/3b  =  16

÷2/3    ÷2/3

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

b  =  24

what is the slope of (-3,5) and (2,0)

Answers

Answer:

is there anymore to the question?

Step-by-step explanation:

The wholesale cost of a pair of PUMA sneakers is $28. Academy Sporting Goods sells the sneaker for 74.99. Rounded to the nearest 10th of a percent, which choice best represents the markup rate?

Question 4 options:

37.8%


.6%


167.8%


62.7%

I WILL GIVE BRAINLIST IF YOU PUT THE RIGHT ANSWER BUT IF U DONT KNOW IT DO NO ANSWER OR I WILL REPORT U

Answers

Answer:

167.8

Step-by-step explanation:

Answer: 167.8

Step-by-step explanation:

The diagram shows the governing system of a municipal government.



What does the diagram show about the strong mayor system?

The city council is elected and the mayor is not.
The mayor is elected and the city council is not.
The mayor has more power than the city council.
The city council shares equal power with the mayor.

Answers

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

Evaluate the following using
powers of ten rules.
9.4326
x 100

Answers

Answer: 943.26

Step-by-step explanation:

9.4326

x 100

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

943.26

what function is the sequence 5, 10, 15, 20, 25, 30

Answers

its f(x)=5x+5 (this is filling spaceskalekkejdkskwnedododkw)

Answer:

a[tex]n[/tex]=5n

Step-by-step explanation:

Please help! The first one to answer correctly I'll give 200 points and the brainliest
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15

Answers

Answer:

fgfhdfg

Step-by-step explanation:

c

Please I need help


What is the perimeter of the parallelogram

Answers

Answer: the answer is 12 cm

20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answers

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Need help ASAP!! I'll give brainliest to the correct answer!!!

A.) 18.7 units
B.) 10.5 units
C.) 9 units
D.) 13 units

Answers

Answer:

B.) 10.5

Step-by-step explanation:

Use ratios, but be careful.

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

The value of x in the given figure is 10.5 so, option B.) 10.5 units is correct.

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Using ratios;

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

Thus, option B.) 10.5 units is correct.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

Rewrite the following polynomial in standard form.
1 + 10x3 + x2

Answers

Answer:

31 + x

Step-by-step explanation:

1) 1 + 10 × 3 + x

2) 1 + 30 + x

3) 31 + x

Answer:

X2+10x3+1....…...…............

Use the bar graph to find the experimental probability of the event.

The experimental probability of spinning a number less than 3 is __.


Please help, I'll give brainliest and 20 points

Answers

2 would be the lesser one

What inequality is represented by the graph below

Answers

Answer:

A

Step-by-step explanation:

when the line is solid its greater, smaller or equal to

when the line is dashed its greater or smaller

When the shade is above the y is greater

When the shade is coming from down its less than

so like can anybody solve this?
ill give the first person to solve this crown

Answers

Answer:

11/5

This is what M a t h w a y says

Step-by-step explanation:

1.5 x -3 4/5

multiply

Answers

Answer:

I'm pretty sure it's -5.7

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