nth term of -7 -12 -17 -22 -27

Answer:

26

Step-by-step explanation:

Answer:

C. 26 m

Step-by-step explanation:

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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  

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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.

Step-by-step explanation:

one triangle has total 180°. so, 180° - 45° - 30° = 105°

Answer : 105°

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

Answer:

Yeah, math math wu wu

Step-by-step explanation:

Answer:

y+2=.25(x+3)

Step-by-step explanation:

The point slope form is shown as follows

y-y₁=m(x-x₁)

We know that the slope (m) is equal to .25 and that x₁=-3 and y₁=-2

We can plug this in and get

y-(-2)=.25(x-(-3))

Simplify the signs to get

y+2=.25(x+3)

Step-by-step explanation:

C = -11

A = -13

V = 9

E = -9

If you are adding them: -24

Hope this helps!

Answer:

55

Step-by-step explanation:

took the test

Answer:

The second one is correct

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

xf

Answer:

Step-by-step explanation:

a.)

<A = 90 - 67 = 23*      A = (a^2 + 14.72^2 = 16^2) = a = 6.25

<B = 67*                      B = (sin67 = b/16) = sin67*16 = 14.73

<C = 90*                      C = 16

b.)

a = (a^2 + 2^2 = 6^2) = a = 5. 66         <A = (cosA = 2/6) = 70.53*

b = 2                                                      <B = 90-70.53 = 19.47*

c = 6                                                      <C = 90*

Answer:

12

Step-by-step explanation:

[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]

[tex] \frac{36}{3} = 12[/tex]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

[tex]\frac{6^2}{3}[/tex]  Equation

Step 2

[tex]\frac{6^2}{3}[/tex]  Simplify the fraction

[tex]\frac{36}{3}[/tex]

Step 3

[tex]\frac{36}{3}[/tex]  Divide both sides by 3

12

answer

12

Hope this helps

Answer:

x<3

Step-by-step explanation:

-4x>12

-x>3

x<3

Answer:

a 1,5

Step-by-step explanation:

if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5

Answer:

0.527

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term

The sequence given in the above Question is a geometric sequence.

The formula for the nth term of a geometric sequence is given as:

an = a × r ^n - 1

Where

a = First term

r = Common ratio

n = nth term

From the above question, we are asked to find the 7th term

Hence:

a = 6

Common ratio = Second term/first term

= 4/6 = 2/3

n = 7

The 7th term = 6 × (2/3 )^7 - 1

= 6 × (2/3)^6

= 6 × (2/3)⁶

= 0.5267489712

Approximately to the nearest thousandths the 7th term = 0.527

Answer:

5 - 6

(b) since 5 is lesser than 6

the answer is -1

if the question was the other way round; 6 - 5 is 1

Answer:

The member of the art museum can visit 22 times

Step-by-step explanation:

Answer:

2. a. 11/4

    b. 8/6

3. a. 2 1/6

   b.  3 2/3

Step-by-step explanation:

So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.

For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.

Answer:

Step-by-step explanation:

2)a)

[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]

3)

[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]

Answer:

(1.5, -2)

Step-by-step explanation:

First subract -3 from 6 to find the total distance of the line segment.

6 - (-3)

Two negatives make a positive

6 + 3

9 units distance

Knowing this, the midpoint is 4 1/2 units away from either end. (1/2 * 9 = 9/2 = 4 1/2 units) Either add 4.5 to -3, or subtract 4.5 from 6 (keep the -2 though, as this line is straight!) to get the coordinates of the midpoint.

-3 + 4.5

-3 + 3 + 1.5

(1.5, -2)

6 - 4.5

6 - 4 - 0.5

2 - 0.5

(1.5, -2)

The midpoint of segment RS is (1.5, -2).

Answer: 1/5

Step-by-step explanation:

From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.

The probability of getting pink would be:

= 1 - [P(orange) + P(yellow) + P(red)]

= 1 - (2/5 + 1/10 + 3/10)

= 1 - (4/10 + 1/10 + 3/10)

= 1 - 8/10

= 2/10

= 1/5

Answer:

Deepika Deepika use 32% of his salary ^ housed and which is the amount of this is Monica is in driving on the monthly on the this is profit or loss we know don't don't know that we are what we do if x x is value of you don't know why I don't know it's your mistake I don't care

Answer:

x = 15

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × 25 = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

x=-6

Step-by-step explanation:

Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!

ANSWER: x=-6

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

Answer:

B

Step-by-step explanation: