I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.

Answer:

The circumference is 62.8.

Step-by-step explanation:

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

=========================================================

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

--------------------

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

-------------------

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

-------------------

In summary we found

A = 68

B = 22

AB = 2.9

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

Answer:

because the way she asked it and the way she put in in form

Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

It is given that Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. Calculate the ratio now.

The above statement is wrong the ratio will be calculated as:-

12 / 9 = ( 3 x 4 ) / ( 3 x 3 )

Take 3 commons from the numerator and the denominator of the ratio.

         = 4 / 3

Therefore, Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

To know more about ratios follow

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Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

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

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

Answer:  78

Step-by-step explanation:

x² + 12 = 6096

       x² = 6084

    [tex]\sqrt{x^2}=\sqrt{6084}[/tex]

        x = 78

Answer:

4

Step-by-step explanation:

10=z+6 <subtract six to each side

4=z

Answer:

4

Step-by-step explanation:

well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4

Hope I answered ur question

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

Answer:

x=33

Step-by-step explanation:

First you haft to find what x is to find the answer

x - 4 = 29

First add 4 to -4 so the cancel out and then you add 4 to 29.

x - 4 = 29

  +4    +4

-----------------

x     =   33

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]

Step-by-step explanation:

d = 64° ( Being vertically opposite angles )

e = 64 ° ( Being alternate angles )

2. g + 125 ° = 180 ° ( sum of supplementary angle)

Move 125 to right hand side and change it's sign

g = 180° - 125°

Subtract 125 ° from 180 °

g = 55 °

f = g ( being alternate angles )

f = 55 °

Hope I helped!

Best regards! :D

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

learn more about translation here :

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Answer:

11a

Step-by-step explanation:

you can't find the exact answer unless we know what a is equal to

Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

Answer:

its a angle

Step-by-step explanation:

Answer:

0.36  

or

Step-by-step explanation:

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

Answer:

c= hy−w /6y

Step-by-step explanation:This is what i got.

Answer: C

Step-by-step explanation: I am a big brain pro.

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

Answer:

The answer would be 4/11