The difference of two complementary angles is 70 degrees. Find the measures of the angles.

Answer:

D

As temperature increases, so does mpg meaning better milage in warmer temperatures

Answer:

380%

Step-by-step explanation:

Turn into an improper fraction:

3x5=15 15+4= 19/5

You can do two ways

multiply by 20

19      x20            380

------                = ----------

5        x20           100

Other way: put into calculator

3,8

Turn into percent by multiplying by 100

=380

                                                    Question 1

Given the sequence

31, 61, 91, 121,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30

The difference between all the adjacent terms is the same and equal to

d = 30

As the first term of the sequence is:

a₁ = 31

now substituting a₁ = 31 and d = 30 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=30\left(n-1\right)+31[/tex]

[tex]a_n=30n+1[/tex]

Now, putting n = 36 to determine the 36th term

[tex]a_n=30n+1[/tex]

[tex]a_{36}=30\left(36\right)+1[/tex]

[tex]a_{36}=1080+1[/tex]

[tex]a_{36}=1081[/tex]

Thus,  the 36th term is:

[tex]a_{36}=1081[/tex]

                                               Question 2

Given the sequence

-34, -44, -54, -64, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-10[/tex]

As the first term of the sequence is:

a₁ = -34

now substituting a₁ = -34 and d = -10 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=-10\left(n-1\right)-34[/tex]

[tex]a_n=-10n-24[/tex]

Now, putting n = 26 to determine the 36th term

[tex]a_n=-10n-24[/tex]

[tex]a_{26}=-10\left(26\right)-24[/tex]

[tex]a_{26}=-260-24[/tex]

[tex]a_{26}=-284[/tex]

Thus, the 26th term is:

[tex]a_{26}=-284[/tex]

Answer:

3/12

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

Answer:

64a^2c^4

Step-by-step explanation:

To figure out how many of the 70 comments were those about questions for Gwen about camping gear, you need to first find the decimal of 30%, which is 0.3. Then the equation should be:

70 x 0.3

Answer: 21

Answer:21 comments about camping gear

Step-by-step explanation: Because percentages are just fractions out of 100, we know that 30% is 30/100. If you multiply 30/100 by 70, you get 21.

Answer:

No real solutions

Step-by-step explanation:

0=x^2+6x+13

Step 1: Subtract x^2 from both sides.

0−x^2=x^2+6x+13−x^2

−x^2=6x+13

Step 2: Subtract 6x from both sides.

−x^2−6x=6x+13−6x

−x^2−6x=13

Step 3: Since the coefficient of -x^2 is -1, divide both sides by -1.

−x^2−6x/−1 = 13/−1

x^2+6x=−13

Step 4: The coefficient of 6x is 6. Let b=6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x^2+6x+9=−13+9

x^2+6x+9=−4

Step 5: Factor left side.

(x+3^)2=−4

Step 6: Take square root.

x+3=±√−4

Step 7: Add -3 to both sides.

x+3+−3=−3±√−4

x=−3±√−4

Answer:

0.075

Step-by-step explanation:

You can do it the bus way method(on paper')

or use a calculator

hope this helped have a great day

0.075

0.075

40 / 3.  

       2.80

___________

       200

        200

_____________

Answer:

24.187

Step-by-step explanation:

Answer:

1. x=1

2. y=5

3. m=-6

4. z=3

Step-by-step explanation:

Answer:

I don't know because i am doing math along the way to solve answer.

Step-by-step explanation:

4x+8=2x+10

4x-2x+8=10

2x=10-8

2x=2  

x=1 ANSWER FOR 1

2.)

Same thing as 1.

9y-3=6y+12

3y=15

Divide both by 3 and you get

y=5 Answer For 2

________________________

3.)

8m+4=4m-20

4m=-24

m=-6 Answer For 3

_________________________

4.)

11z-14=5z+4

6z=18

z=3 Answer for 4

Answer:8+2x

Step-by-step explanation:

Answer:

Area of the 2 circles

= 2 pi r square root

= 2 x 3,14 x 21 x 21

=6,28 x 441

=2769.48inches square

Area of the rectangle

= L x h

= where is the other number bc then u cant solve it

Step-by-step explanation:

Answer:

x = -17

Step-by-step explanation:

11 - 2x = 45

We first want to subtract 11 from both sides, so that we have the variable and it's factor on its own side. Making the equation:

-2x = 34

Next, we are going to divide each side by the variables' factor, which in this case is -2. However, there is a slightly longer way to do this, but when you're doing it by hand, it is much easier. I will be showing that way below.

So, instead of dividing either side by -2, we are going to divide both sides by 2. Giving us:

-x = 17

This next step is easy peasy. Since the negative is on the variables side and we need the variable to be positive, we just switch the position of the negative to the numerical side. Shown below.

-x = 17

to

x = -17

So, our final answer is x = -17

Hope this helps!

Answer:

Step-by-step explanation:

Solution

11 - 2x = 45

or, 2x=11-45

or, 2x=-34

x=-17

Hope it helped you!!

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:

CD=66

Step-by-step explanation:

12x-30=6x+18

6x=48

x=8

12(8)-30=66

CD=66

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:

13.5 lbs

Step-by-step explanation:

The number of pounds to be added with 36 lb to make cashews nut 60% is 12 pounds.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

45% cashew nuts = 36 lb

Multiply 60/45 on both sides.

60% = 60/45 x 36 lb

60% = 48 lb

The number of pounds to be added.

= 48 - 36

= 12 lb

Thus,

12 pounds of cashew should be added to 36 lb to make it 60% cashews.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

9514 1404 393

Answer:

  $875

Step-by-step explanation:

The account pays simple interest, so the formula for the balance is ...

  A = P(1 +rt)

  A = $500(1 +0.025×30) = $500(1.75) = $875

There will be $875 in the account at age 30.

Answer: 25

Step-by-step explanation:

the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.

Answer:

65

Step-by-step explanation:

delta math said it lol

Answer =:70

Step-by-step explanation: