A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer 2

The given sides  form a right angled triangle , beacuse  (hypotenuse)^2 = (base)^2 + (height)^2

What is Pythagoras theorem ?

The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

According to the Pythagoras theorem ,

In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.

⇒ (hypotenuse)^2 = (base)^2 + (height)^2

∴ (65)^2 + (72)^2 = (97)^2

⇒ 4225 + 5184 = 9409

⇒ (97)^2 = 9409

∴ 9409 = 9409

Hence, the given sides  form a right angled triangle.

To learn more about the  Pythagoras theorem   here:

https://brainly.com/question/12381687

#SPJ3


Related Questions

Middle School
Mathematics

Find x.

A. 8
B. 12​

Answers

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

pls help me with this lol

Answers

Answer:

a) 95 miles

b) Chester

c) 194 miles

Step-by-step explanation:

Chart Reading

From the chart, we can know the relative distances from each place as follows:

a) From Hereford to Chester there are 95 miles

b) Kendal is 99 miles from Chester

c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles

Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.

9. Matt bought a new crate for his dog. The old crate was 8 square feet, and the new crate was 12 square feet. What is the percent increase in the space?

Answers

Solution:

It is given that :

Area of old crate = 8 square feet

Area of the new crate = 12 square feet

Therefore difference in the area = 12 - 8

                                                     = 4 square feet

Now the percentage increase in the area of the crate is given by :

[tex]$=\frac{\text{difference in the area of crate}}{\text{original area of crate}} \times 100$[/tex]

[tex]$=\frac{4}{8} \times 100$[/tex]

= 50%

So the percentage increase in space is 50%

The measures of the angles of a triangle solve for X

Answers

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

PLEASE HELP NOW LIKE LITERALLY. ILL GIVE BRAINLIST AND FULL STAR!!

Answers

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Let f be the function with derivative given by f'(x)=cos(2x^2 -1). How many relative extrema does f have on the interval 2 < x < 4?

Answers

It would have 7 because you are looking for the extreme.

I need the answer to this question please 4(3 - 2x) = 15

Answers

The correct answer would be -3/8 or in decimal form -0.375 :)

Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?

A. (-3,-5), because the point satisfies ONE of the equations

B. (-3,-5), because the point lies between the two axes

C. (-4,-8), because the point satisfies BOTH equations

D. (-4,-8), because the point does not lie on any axis

Answers

Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

PLEASE HELP!!! WILL MARK BRAINLEST!!
The solution of an equation with two variables, x and y, is:
1) The set of all x values that make y = 0
2) The set of all y values that make x = 0
3) The set of all ordered pairs, (x,y), that make the equation true
4) The set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis

Answers

Answer:

3

Step-by-step explanation:

3) because thhe solution should be equal to the values that x and y could take to make the equation true

What is the value of x that makes the statement true?

7x + 9 = 5x + 39

x =

Answers

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15

7x + 9 = 5x 39
7x -5 = 39-9
2x =20
30\2 x=15

In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.​

Answers

Step-by-step explanation:

c is greatest angle

where as b is smallest

what is the product of

(2x+3)(4x²-5x+6)

Answers

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

An equation is −109.3=
.

The outside temperature is
∘F.

Answers

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

HELP !!!!!40 POINTS AVAILABLE


2. d+g/h. When d=29, g = 16. and h=9
(1 point)
A.8
B.2.375
C.5.375
D.5

Answers

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

It’s 5 when you add them together then you divide them you get 5

Determine the correlation:
How much you study vs. The grade you get on your test

A- positive correlation
B- negative correlation
C- no correlation

Answers

a - positive correlation

teachers are just like that sometimes man

they are saying that the more you study the higher your grade is, so positive correlation

At Springfield Middle School, there are ​n​ 7th graders, and ​p​% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©​Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p

Answers

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

Strugglingggggg.....

Answers

Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

i need desperate help i dont care abt work

Answers

Answer:

75%

Step-by-step explanation:

add them together

Thanks for the help UwU

Answers

Answer:

a is the answer you are looking for

Step-by-step explanation:

A

Answer:

C

Step-by-step explanation:

The equation is y = 75x + 250. The y intercept is 250, and it is stated that Carlos bought the phone for $250.

A watercooler contains 160 cups of water. During practice, each person on a team fills a water bottle with 3 1/3 cups of water from the cooler. How many water bottles can a team fill from a single watercooler?

Answers

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.

Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]

Now , Number of water bottles a team can fill  from a single watercooler = [tex]160\div \dfrac {10}3[/tex]

[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?

Answers

Umm you can say if you enter a taxi you have to pay 15 dollar for the taxi cab and u have to pay additional 4 dollars every mile you travel . X would represent miles traveling

what takes money out of your savings account? debit card or credit card

Answers

Answer:

Debit cards have a savings account

Step-by-step explanation:

i learned this in school

how would the school work differently if any of the locations above were missing ​

Answers

Answer:

huh what locations

Step-by-step explanation:

Answer:

Above what?

Step-by-step explanation:

posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT

Answers

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

for f(x) = -8x +8, find f(-3)

Answers

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

the slope of (2,11) and (10,4)

Answers

See the attachment...

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

(y2-y1)/(x2-x1)

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

WORTH BRAINLIEST!

of you help me

Answers

Answer:

8. [tex]\frac{55}{-11} \\[/tex]

9. -38 ÷ 19

10. -4 ÷ -2

11. 190° im pretty sure

Step-by-step explanation:

Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed

Answers

Answer:

45 students passed the test

Step-by-step explanation:

900/100x5/1=45

Convert 75% into a fraction and shade the circle according to the result.

Answers

Answer:

The answer is literally 3/4 as a fraction and you have to shade 15 parts.

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