Started at 10° and rose 1° each minute

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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Answer:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

Diameter is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].

Geometrically speaking, a translation is determined by following formula:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:

[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]

[tex]V'(x,y) = (0, 1)[/tex]

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]

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Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

Answer:

5

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5

Answer:

Facts.

Step-by-step explanation:

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Answer: 275

Step-by-step explanation:

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

Answer:

40 tablespoons of vinegar

Step-by-step explanation:

the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be

2-5

16-x

16-5^8

16-40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

5 tablespoons = 2 color tablets.

40 tablespoons = 16 color tablets

The number of tablespoons of vinegar required is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

She needs 5 tablespoons of vinegar for every 2 color tablets she uses.

This means,

5 tablespoons = 2 color tablets.

Multiply 8 on both sides.

8 x 5 tablespoons = 8 x 2 color tablets.

40 tablespoons = 16 color tablets

Thus,

The number of tablespoons of vinegar required is 40.

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Answer:

60

Step-by-step explanation:

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Answer:

14 gallons

Step-by-step explanation:

Answer:

14 gallons

Step-by-step explanation:

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

answer :

x = 10, x = 124