A triangle has sides with lengths of 12 miles, 84 miles, and 85 miles. Is it a right triangle?

Answers

Answer 1
Ggggggghhhhggffggtfgugggh
Answer 2

Answer:

[tex]\boxed {\boxed {\sf No}}[/tex]

Step-by-step explanation:

If a triangle is a right triangle, it can satisfy Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.

[tex]a= 12 \\b=84 \\c=85[/tex]

Substitute the values into the formula.

[tex](12)^2+(84)^2=(85)^2[/tex]

Solve the exponents.

12²= 12*12=14484²=84*84=7056 85²= 85*85=7225

[tex]144+7056=7225[/tex]

Add on the right side.

[tex]7200\neq 7225[/tex]

7220 is not equal to 7225, so these sides cannot be a right triangle.


Related Questions

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it

Answers

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

HELP MEEEE PLEASEEEEEEEEEEEEEE

Answers

Answer:

a = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a= ?

b= 3

c= 5 (c is always the hypotenuse)

*plug in given values

a^2 + 3^2 = 5^2

a^2 + 9 = 25

-9 -9

a^2 = 16

*find the square root

sqrt(a) = sqrt(16)

a = 4

Answer:

a = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = a

Leg b = 3

Hypotenuse c = 5

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                          a² + 3² = 5²[Subtraction Property of Equality] Isolate a term:                                         a² = 5² - 3²Evaluate exponents:                                                                                       a² = 25 - 9Subtract:                                                                                                          a² = 16[Equality Property] Isolate a:                                                                          a = ±4

Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.

∴ a = 4

Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х

Answers

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

To learn more about the Pythagoras theorem;

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A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.

Answers

Answer:

900

Step-by-step explanation:

The area of the final triangle would be 900 cm².

What is scale factor?

Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -

{K} = {final dimensions/initial dimensions}

Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -

{1/2}{x}{y} = 36

{x}{y} = 72

After the scaling, we can write the final area as -

A = {1/2}{5x}{5y}

A = {25/2}{x}{y}

A = 12.5 x 72

A = 900 cm²

Therefore, the area of the final triangle would be 900 cm².

To solve more questions on scale factor, visit the link below-

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The sum of two numbers is 10. Their difference is 2. What are the numbers?

Answers

Answer:

6 and 4

Step-by-step explanation:

6+4 = 10

6-2 = 4

A bookstore carries 70 magazines. 70% of the magazines are women's magazines. How
many women's magazines does the bookstore carry?

Answers

70 percent *70 =

( 70/100)*70 =

( 70*70)/100 =

4900/100 = 49

They have 49 women’s magazines

Answer:

49

Step-by-step explanation:

70% of 70 = 0.7 × 70 = 49

1. Find the value of sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°
a. -√5
b. √5
c. -5
d. 5

2. Find the value of cos Θ if sec Θ = 5/3 270 ≤ Θ ≤ 360°
cos =

Answers

9514 1404 393

Answer:

  1. (a) -√5

  2. 3/5

Step-by-step explanation:

1. sec²(θ) = tan²(θ) +1

  sec²(θ) = (-2)² + 1 = 5

  sec(θ) = ±√5

In the second quadrant, secant is negative, so ...

  sec(θ) = -√5

__

2. cos(θ) = 1/sec(θ)

  cos(θ) = 1/(5/3)

  cos(θ) = 3/5

The tallest mountain in the world is Mt. Everest. It is about
140% as tall as the tallest mountain in the United States. Mt. Mckinley.
Write 140% as a mixed number in simplest form.

Answers

Answer:

7/5

Step-by-step explanation:

140 by 100

cutting methord

cut the zeros, then divide by 2.

Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were surveyed about the cost of admission to the show. Matilda incorrectly stated that the sample in this situation was represented by 900 visitors at the craft show.
a. what is Matilda's error?

b. what is the actual sample?

Answers

Answer:

A. Her error was that she thought that they were surveying the whole town so 900 would be the sample.

B. The actual sample is 45.  

Step-by-step explanation:

The actual sample is 45 because 45 people out of the 900 visitors (population) were surveyed.

72 paper clips decreased by 63% paper clips

Answers

Answer:26

Step-by-step explanation:

got a decimal but you cant have a decimal of a paper clip

Answer:

72 x 63% = 45.36 paper clips

or; 72  x .63 = 45.36 paper clips

either one will work...

Step-by-step explanation:

have a good day

A car travels 88 miles in 1 hours
(with a constant speed). How far
can it travel in 2 hours (with the
same speed)?

Answers

Answer:

176 miles

Step-by-step explanation:

88x2=176

Lily took a loan of $1200 with simple interest for as many years as the rate of
interest. If she paid $432 as interest at the end of the loan period, what was the
rate of interest? *

Answers

Answer:

sax

SI = $432

P = $1200

rate = x

time = x

= 432 = t×p×r / 100

= 432 = x × 1200 × x / 100

= 432 = x × 12 × x

= 432 = 2x × 12

= 432/12 = 2x

= 6 = 2x

= 6 ÷ 2 = x

= 3 = x

The rate of interst is 3%

Step-by-step explanation:

do you think this answer is referring to 11 or 12 ?

Answers

Answer:

11

Step-by-step explanation:

I need help simplifying it​

Answers

Answer:

D: 13b^3 - 18b^2 - 7b + 12

Step-by-step explanation:

First expand the brackets by multiplying (10b^2+7b-3) by -1

Then rearrange the terms so you can see where you have to add them together.

Then simplify

Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

Answers

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Substitute in variables [Average Rate of Change]:                                       [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function:                                                                    [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents:                                    [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply:                                                        [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract:                                                       [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative:                  [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add:                                                                                [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide:                                                                            [tex]\displaystyle -11[/tex]

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

Answers

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?

Answers

1. 15.99+(2.75x)
2. 15.99+(2.75 * 7)
= 15.99+19.25
=35.24

What is the leading coefficient of this polynomial?
f(x) = 3x2 -
175 + 7x10
Answer here

Answers

Answer:

7

Step-by-step explanation:

Because it is the coefficient that has the variable with the greatest exponent

A store donated cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?​

Answers

Answer:

They recieved 192 crayons?

Answer:

The Answer Is 192

Step-by-step explanation:

A robot's height is 120 centimeters. How tall is the robot in millimeters? Record your answer and fill in the bubbles on your answer document, Be sure to use the correct place value.​

Answers

1,200 millimeters is the correct answer!1 centimeter = 10 millimeters120 x 10 = 1,200Please let me know if I am wrong.

in triangle pqr the measure of r=90 rp=3.7 and pq=9.5 find the measure of <Q to the nearest tenth of a degree​

Answers

Answer:22.9

Step-by-step explanation:

pls help plsssssssssssssssssssssssssssssssssss

Answers

Answer:

i belive its 1

Step-by-step explanation:

Because its SUM so its adding and the sum is 22 and 20+2=22.

9.999 round off to the nearest 1000​

Answers

Answer:

0

Step-by-step explanation:

9.999 rounded to the nearest 1000 is 0

It is 0 good luck!!

I need help quick!!!!

Answers

Answer: I cant see the picture

Step-by-step explanation:

Answer:

Number 8 is 28% because it’s only 28 gallons out of 100.

do kramagat dhanatmak purnanko ka yog 145 hai purnank gyat kijiye​

Answers

Answer:

hssssskwkwkkkayak toa

ehekkekekekek

eemeeememe

Step-by-step explanation:eeekekekee dd ejndkekd3kd3kd3kd3kdb3

wkwdwugudhwkwkwkekekwkwka,akkKKkKSNBEVEVVRTTVKALALALAL

Answer:

72, 73

Step-by-step explanation:

माना दो क्रमागत धनात्मक पूर्णाक x और (x + 1) हैं |

इसलिए...

प्रश्नानुसार,

x + (x + 1) = 145

2x + 1 = 145

2x = 145 - 1

2x = 144

x = 144/2

x = 72

x + 1 = 72 + 1 = 73

What is the reading on the dial?


A) 40
B)45
C)50
D) 65

Answers

Answer:

c:50

Step-by-step explanation:

the dial between them is the number that’s equal to them..so if it is 20 to 40, the middle line would be 30this means that for this dial, it is pointing at 50.

Therefore, it would be c:50.

Write down the percentage multiplier to find 3% of a quantity

Answers

Answer:

0.03

Step-by-step explanation:

Hope this helps.

You have to spend less than $500 at the mall. Each pair of pants costs $25 and each shirt costs $10. Write an inequality to represent the situation. Let x represent the number of pants you buy and let y represent the number of shirts you buy.

Answers

Answer:

25x+10y<500

Step-by-step explanation:

Answer:

25x+10y<500

Step-by-step explanation:

25 times number of pants purchased plus 10 times number of shirts purchased must be less than 500

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer is the 3rd one

Will the sum of 56+ (-56) be Positive negative or zero

Answers

0 is the answer! U can type it in the calculator

Answer:

zero

Step-by-step explanation:

56+(-56),thus

the negative overcomes the positive,

56-56

0

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