-12 = 4x + 1
solve
algebra

Answer:

45.987

Step-by-step explanation:

Because its the number you get by rounding up

Answer:

742.6 your answer as you tell mark me brainlest

Answer:

84

Step-by-step explanation:

13^2+84^2=85^2

Answer:

26.40+257.60=

284

284÷18

15.7

Answer:

26

Step-by-step explanation:

Answer:

C. 26 m

Step-by-step explanation:

home / math / pythagorean theorem calculator

Pythagorean Theorem Calculator

Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.

Result

abc

Given a=24 and b=10,

c = 26

∠α = 67.38° = 67°22'48" = 1.17601 rad

∠β = 22.62° = 22°37'12" = 0.39479 rad

area = 120

perimeter = 60

h =  

120

13

= 9.2307692307692

+ Show Calculation Steps

a =  

24

√  

b =  

10

√  

c =  

√  

Calculate  

Related

Triangle Calculator | Right Triangle Calculator

Pythagorean Theorem

The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:

In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:

a2 + b2 = c2

This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if

a = 3 and b = 4

the length of c can be determined as:

c = √a2 + b2 = √32+42 = √25 = 5

It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:

a = √c2 - b2

b = √c2 - a2

The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.

There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.

Algebraic proof:

In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.

In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:

(b + a)2 = c2 + 4  

ab

2

= c2 + 2ab

which yields:

c2 = (b + a)2 - 2ab

= b2 + 2ab + a2 - 2ab

= a2 + b2

which is the Pythagorean equation.

In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab  2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:

(b - a)2 + 4  

ab

2

=

(b - a)2 + 2ab

= b2 - 2ab + a2 + 2ab

= a2 + b2

Since the larger square has sides c and area c2, the above can be rewritten as:

c2 = a2 + b2

which is again, the Pythagorean equation.

There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.

Answer:

A

Step-by-step explanation:

A is correct on Khan academy!

Answer:

50 &15

Step-by-step explanation:

Answer:

(-6,2)

Step-by-step explanation:

for the reflection just go on the opposite side of the y axis and then it would be negative but then going left 2 more would add to 4.

Answer:

-10

Step-by-step explanation:

Answer:

Greater than.

Step-by-step explanation:

Let the original value be x.

A 50% increase in x is given by

x + 50%x

=> x + 0.5x

=> 1.5x

Followed by a 33 [tex]\frac{1}{3}[/tex] % decrease in the value gives:

1.5x - 33 [tex]\frac{1}{3}[/tex] %(1.5x)

=> 1.5x - 0.33(1.5x)

=> 1.5x - 0.495x

=> 1.005x

Since 1.005x is greater than the original value, x, then:

A 50% increase followed by a 33 [tex]\frac{1}{3}[/tex] % decrease gives a value that is greater than the original.

Answer: 41,250$ (I think)

Step-by-step explanation:

1 hour —> 825$

40 hours —> 825$ x 40 = 33,000$

The after the 40 hours he gets paid x2 and he works for 5 hours

1 hour —> 825$ x 2 = 1,650$

5 hours —> 1650$ x 5 = 8,250$

33,000 + 8,250 = 41,250$

Answer:

Step-by-step explanation:

2 is the Greatest common factor

Given numbers:

30 , 48 , 2

Find:

Greatest common factor

Computation:

By taking LCM of given numbers

30 = 2 × 3 × 5

48 = 2 × 2 × 2 × 2 × 3

2 = 2

From the above LCM taking '2' as common factor.

So,

we say that, 2 is the Greatest common factor

Learn more:

https://brainly.com/question/11221202?referrer=searchResults

Answer:

Step-by-step explanation:

Alright so just like the other problem we have to use ratios to find if it is parallels or not. In order for AC and DE to be parallels the sides CE and AD and DB and EB have to have the same ration. So in answer c if you do 24/22.5 you would get 1.066666667. So then to find the length of EB we subtract 24 from 40 to get 16 and then we do 16/15 to find out if the ratios are the same. And indeed they are the same both equaling 1.066666667. If you were to divide CE/AD and DB/EB none of the answers would be the same leading to c being the correct answer

Answer:

14w + 3

Step-by-step explanation:

6w + 4 + 8w -1 (Given)

14w + 3 (combine like terms)

"The Kid Laroi" - Rapper-Songwriter.

Answer:

14w+3

Step-by-step explanation:

6w+4+8w-1

(6w+8w)+(4-1)

14w+3

Answer:

2+6=9 that give u 816

Step-by-step explanation:

Answer:

The total monthly cost would be $214

Step-by-step explanation:

This is rather simple. They gave us 1,250, which is half of 2,500. Simple multiplication:

1,250  =   2,500

107    =      x

2 ×  1,250 = 2,500

2 × 107 = 214

Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.

Answer:

240

Step-by-step explanation:

24 students sold 10 tickets so 24x10

Answer:

E. 443.4 ft²

Step-by-step explanation:

Since it is a regular triangle, it means all three sides are of equal lengths and all angles are of the same degree measure.

Therefore, all sides = 32 ft each

Each equal angle = 60° (sum of all angles = 180)

The area of the triangle can be calculated using the formula, ½*a*b*sin(C),

Where,

a = 32 ft

b = 32 ft

C = 60°

Plug in the values

Area = ½*32*32*Sin(60)

Area = 443.4 ft² (nearest tenth)

Answer:

105

Step-by-step explanation:

[tex]g(x)=x^{3}-9x[/tex]

rate of change of g(x) is

[tex]g^{,}(x)=3x^{2} -9[/tex]

for x=1

[tex]g^{'}(1)=3(1)^{2} -9=-6[/tex]

for x=6

[tex]g^{'}(6)=3(6)^{2} -9=99[/tex]

Answer:

D

Step-by-step explanation:

Answer:

36mimutes

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}[/tex]

Answer:

B. (k+2)(k+5)

Step-by-step explanation:

Answer:

B. (k+2)(k+5)

Step-by-step explanation:

Answer:

Line B → y = ½x + 1

_______________

For question 12, the answer is y = ½x + 1.

None of the lines graphed on question 12 have an equation of y = -2x + 2.

Answer:

x=-3..hope this is right

Answer:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Step-by-step explanation:

Given in the question:

a) A family paid $96 for 4 pool passes and 2 gym memberships.

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60.

Let's write the system of equation for each purchase that happened in the scenario.

Let,

P= Price of each pool passes

G= Price of each gym membership

We get,

a) A family paid $96 for 4 pool passes and 2 gym memberships:

[tex]4P+2G=96[/tex]

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60:

[tex]3P+1G=60[/tex]

Therefore, the equations generated in the scenario were:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Where,

P=Price of each pool passes

G=Price of each gym membership

PLEASE MARK ME AS BRAINLIEST

Answer:

=x-1

Step-by-step explanation:

x2+2x−3

x+3

=

x2+2x−3

x+3

=

(x−1)(x+3)

x+3

=x−1

Answer:

a)60°

b)BD=10

c)AB=20

d)100√3

Step-by-step explanation:

B

let's BD be x

according to the question

[tex] \tan( {30}^{o} ) = \frac{x}{10 \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{3} }{3} = \frac{x}{10 \sqrt{3} } [/tex]

[tex]3x = 10 \sqrt{3} \times \sqrt{3} [/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

c)

according to Pythagoras theorem

a²+b²=c²

c=√a²+b²

c=√10²+(10√3)²

c=√100+300

c=√400

c=20

D)

the two triangles are congruent

so AC=2(10√3)

=20√3

as we know

area of a triangle =

½bh

=½×20√3×10

=10√3×10

=100√3

Answer:

100(g+b)=307

Step-by-step explanation:

equation

g=307÷1000