What is 106/200 written as a decimal

The equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.

The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given is the following specifications for a sine wave -

Amplitude: 3

Period: 3π

Phase Shift: π/8

Vertical Shift: -2

The general equation for sine wave is -

y = A sin(ωx + Ф) + k

Now, we know -

ω = 2π/T

ω = 2π/3π

ω = 2/3

And -

A = 3

Ф = π/8

k = - 2

y = 3sin[(2/3)x + π/8) - 2

Therefore, the equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.

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Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

According to the question,

We have the following information:

Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.

Now, we know that the following formula is used to find the simple interest on an investment:

Interest = principal*rate*time/100

Principal = $5500

Rate = 3.5

Time = 12 years

Interest = (5500*3.5*12)/100

Interest = $2310

Now, the total amount in his account will be:

5500+2310

$7810

Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

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The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = [tex](\frac {1}{4} x+8)[/tex]°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

[tex](\frac {1}{4} x+8)[/tex]° = x+2°

Calculating,

[tex]\frac{1}{4}x-x[/tex] = 2-8

[tex]-\frac{3}{4}x[/tex] = -6

x = [tex]-6*(-\frac{4}{3})[/tex]

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  [tex](\frac {1}{4} x+8)[/tex]° +( x+2°)

          =  [tex](\frac {5}{4} x+10)[/tex]

Now, substitute the value of x,

∠STU =  [tex](\frac {5}{4} )*8[/tex]°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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Answer:

h=11x3

Step-by-step explanation:

trust me, I have done this problem already

The value of sinθ is -15/17

From the question, we have

the point (8, -15) is on the terminal side of an angle [tex]\theta[/tex].

the point (8, -15) lies in the fourth quadrant

Using Pythagoras theorem,

hypotenuse = √(8² + 15²) = 17

Sine ratio is the ratio of perpendicular side to hypotenuse side.

sinθ = -15/17

Addition:

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.

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The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .

In the question,

it is given that ,

number of appetizers that catering service can offer = 6

number of main courses that catering service can offer = 8

number of desserts that catering service can offer = 4 ,

The number of ways 4 appetizers can be selected out of 6 = ⁶C₄

number of ways 4 main courses can be selected out of 8 = ⁸C₄

number of ways 4 desserts can be selected out of 10 = ¹⁰C₄

So , total number of ways = ⁶C₄ × ⁸C₄ × ¹⁰C₄

= 15 × 70 × 210

= 1050 × 210

= 220500 ways

Therefore , The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .

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Answer:

X= -40/3

Step-by-step explanation:

2x= 7/8x-15

1. Combine the multiplied terms into just one fraction: 2x= 7x/8-15

2. Find the common denominator: 2x= 7x/8 + 8(-15)/8

3. Combine those fractions with the common denominator(as shown from step 2, above): 7x+8(-15)/8

4. Multiply the numbers: 8 times -15= 120

The rest are simple. Remember to cancel out, multiply, subtract, simplify and divide. If you want the full completion of these steps: https://brainly.ph/question/10069564#:~:text=Answer%3A,Combine%20the%20constants.  

Answer:

it has none

Step-by-step explanation:

Answer:

6√-729 is : 4.88147452844536

We have that BC = BA and m

We will have that the angle DAB and BAC are supplementary, therefore:

DAB + BAC = 180°

And replecing the value of DAB, we will get:

120 + BAC = 180 => BAC = 60.

By theorem the angles that oppose equal sides are equal, therefore: ACB = 60.

From this, we will also get that ABC = 60.

And B = 90.

Triangle ABD will be a scalene triangle.

Triangle DBC will be a rectangle triangle.

Answer: 8.953333333.

Step-by-step explanation: All I know is that a negative divided (or times) a negative is always a positive.

Answer: I genuinely believe the answer is c

Answer:

The point should be plotted at (5, -1).

Step-by-step explanation:

You have the following function:

f(b) = 3b ÷ 45/60

Consider Emma put way 3 carts of books in 45 minuntes.

The factor 45/60 means the conversion to hours of the number of books Emma put way. 45 minutes in hours is the same as 45/60.

the factor 3b means that Emma put way 3 carts of books, and the division stablish the rate of time in one hour. This means b is the number of book on one cart.

Hence, the following statement is a correct interpretation of the function f(b):

b) the variable b represents the number of book on one cart.

The expression to represent the change in elevation would be 13 - 150.

The change in elevation would be - 137 feet.

The change in elevation refers to the difference between the elevation that a person ends up in, from the elevation that they started out at.

The change in elevation for the goat would therefore be:

= Ending elevation - Starting elevation

= 13 - 150

= - 137 feet

In conclusion, the change in elevation of the goat in its travels was - 137 feet.

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What is the approximate area of this figure

Step 1

divide the figure in

By using a trigonometric equation, we can see that the correct option is the first one:

cos(20°) = 12/x

We have a right triangle where x is the hypotenuse, we know that one angle measures 20° and the adjacent cathetus to that angle measures 12 units.

Then we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know:

cos(20°) = 12/x

This is the equation in the first option, so that is the correct one.

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1) Considering the table and the data, we can see that there was a positive 40% percent change in the table, for the Healthcare workers altogether

2) So we can write out the following:

Notice that to find the final result, we add 0.4 +1 and then multiply by 18237.

Note that there was an increase from 2008 and 2018, and since we can only work with whole numbers for people, we need to round it up to the nearest whole number. Thus, in 2018 there will be 25532 workers

Answers:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Explanation:

The angles formed by two parallel lines and a transversal that are on the same side of the transversal and in the same position from the parallel lines are called corresponding angles. These angles have the same measure so they are also congruent.

So, we can fill the first part as:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

On the other hand, two opposite angles formed by two lines that cross are called vertically opposite. So, these angles have the same measure.

So, we can fill the second part as:

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

Finally, we can fill the third part as:

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Because alternate interior angles are the angles that are inside the parallel line and on opposite sides of the transversal.

Answer:

D. trapezoids

The other expression for this scenario is 5.25 + 5.25 + 5.25 + 5.25

From the question, we have the following parameters that can be used in our computation:

Cost of cotton candy = $5.25

Number of friends = 4

So, the expression is given as

Expression = 5.25(4)

Express 4 as 1 + 1 + 1 + 1

So, we have the following representation

Expression = 5.25(1 + 1 + 1 + 1)

Open the bracket

Expression = 5.25 + 5.25 + 5.25 + 5.25

Hence, the other expression is 5.25 + 5.25 + 5.25 + 5.25

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The equation of the line will be y = 2x + 3. Then the correct option is B.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

From the graph, two points are taken as (0, 3) and (1, 5). Then the equation of the line is given as,

(y - 3) = [(5 - 3) / (1 - 0)](x - 0)

Simplify the equation, then we have

y - 3 = 2x

y = 2x + 3

The equation of the line will be y = 2x + 3. Then the correct option is B.

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Answer:

c

Step-by-step explanation:

Answer:

Price after discount: $120.00

You saved: $30.00

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

150*20%

150*20/100

150*1/5

30

150-30=120

Given the equation system:

You can find the solution to this equation system using the subtitution method.

Since the first expression is written in terms of y, you can replace it into the second expression and calculate for x

-Distribute the multiplication on the parentheses term:

-Simplify the x-terms, by solving the operation between them

-Pass 21 to the right side of the equation by applying the opposite operation to both sides of the equal sign

-Finally, divide both sides of the equation by 34 to determine the value of x

Now that we have determined the value of x, we can replace it into the first equation to calculate the value of y:

This system has one solution at the point

-6 = 3x - 6y

4x = 4 + 5y

ok

x = (4 + 5y)/4

Substitution

-6 = 3[(4 + 5y)/4] - 6y

-6 = [12 + 15y]/4 - 6y

-6 + 6y = [12 + 15y]/4

-24 + 24y = 12 + 15y

24y - 15y = 12 + 24

9y = 36

y = 36/9

y = 4

x = (4 + 5(4))/4

x = [4 + 20)/4

x = 24/4

x = 6

Solution x = 6, y = 4

If Jenna has 6 packs of 7 pencils. to find the answer to how many pencils she has to add 7 + 7 + 7 + 7 + 7 + 7

6 stacks of 7 pencils means that each stack contains 7 pencils

since there are 6 stacks then adding each stack will give

7 + 7 + 7 + 7 + 7 + 7

= 2( 7 + 7 +7 )

= 2 * ( 3 * 7 )

= 6 * 7

42

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divyaraval92, this is the solution:

False

x could be either 6 or -6

Statement. (Reasons are in boldfaced words)

1. H is the midpoint of AD. By given.

2. AD bisects GC. By given.

3. HA = HD. By definition of midpoint.

4. GH = CH. By definition of the bisector.

5. Angles AHG and DHC are congruent. By vertical angles theorem.

6. AG = DC. They are the height of the figure.

7. Triangles GHA and CHD are congruent. By Side-Angle-Side postulate of congruence.

SOLUTION

We use sin

This is because the opposite and the adjacent sides are where we have known and unknown values

You can use the code SOH/ CAH / TOA to make the right choice of trigonometric ratio to use

Answer:

3.88

Step-by-step explanation:

Find the number in the hundredth place (7) and look one place to the right for the rounding digit 5. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer: TRUE

Step-by-step explanation:

12g+21 equals to 3(4g+7) because you have to multiply 3 and 4g which will equal 12g and then multiply 3 and 7 which will equal 21.

So your final answer would be 12g+21 equals to 12g+21.

Hope it helps!!