Trigonometry Functions of Any Angle CAA point on the terminal side of angle O is given. Find the exact value of the indicated trigonometric function of e.1) (12, 16) Find csc 0.I need help with #2

The difference between the population in City A and City B is 8.27 x [tex]10^{4}[/tex] and 82,700.

The numbers are written in scientific notation. Scientific notation is a method that is used in mathematics to compress large numbers. In order to write a number in scientific notation, the number is written as a decimal number between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300

Subtraction is the mathematical operation that is used to determine the difference between two or more numbers.

8.59 x [tex]10^{4}[/tex] - 3.2 x 10³

(0.859 x [tex]10^{4 - 1}[/tex]) - ( 3.2 x 10³)

(0.859 x  10³)- (3.2 x 10³)

0.827 x  10³

8.27 x [tex]10^{4}[/tex] = 82,700

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1 = 0.76r - 9 - 0.36r

1 + 9 = 0.76r - 0.36r

Simplify like terms

10 = 0.4r

Solve for r

r = 10/0.4

r = 25

Result

r = 25

b)

Result

z = 20

One of the terms equals 0.85, so do the other two:

sample size

proportion

probability

How can sample size be determined?

to calculate the sample size in five easy steps

Calculating sample size requires knowledge of or estimation of three or four factors:

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The shadow of the 4 feet stick is 3/4 feet or 0.75 feet.

It is a question of ratio and proportion.

It is given in the question that the 32 feet tall building had a shadow 6 feet long.

We have to find the length of the shadow of a 4 ft stick.

Let the  length of the shadow of a 4 ft stick be x.

We know that length and shadow of a 4 feet stick and a 32 feet building will be in proportion.

Hence, we can write,

Length of building/Length of stick = shadow of building/shadow of stick

32/4 = 6/x

8 = 6/x

x = 6/8 feet = 3/4 feet = 0.75 feet

x = 0.75 feet.

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The latest time that the staff member can leave home to make it in time for the meeting in Birmingham is 8.30 am.

Time

Time is used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events.

Given,

A staff member lives in Bermondsey and has to be in Birmingham for 10.45 am.

Here we need to find the latest time that the staff member can leave home to make it in time for the meeting in Birmingham

From the given details we know identified that,

The staff members has to be present in Birmingham at 10.45am.

But they are all in Bermondsey, it will take 1 hour 10 mins travel to arrive the destination.

So, the time before 1 hour is 9.35 am.

The travel time between train station from home is 1 hour is,

So, the time is 8.35 am.

Venue distance is 5 minutes from station.

So, when we include this then the time to leave the home is,

=> 8.30 am.

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The solution to the given expression (x + 20 - 1) when x = 9 is: A. 28.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to evaluate the given expression and determine its solution. Therefore, we would evaluate the given expression  as follows:

x + 20 - 1

Substituting the value of x into the given expression, we have:

Expression = 9 + 20 - 1

Expression = 29 - 1

Expression = 28.

In conclusion, we can reasonably and logically deduce that 28 is the  solution to this expression (x + 20 - 1).

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Answer:

a) 28

Step-by-step explanation:

Now we have to,

→ evaluate the expression.

The expression is,

→ x + 20 - 1

Solving the expression,

→ x + 20 - 1

→ 9 + 20 - 1

→ 9 + 19

→ 28

Hence, solution is 28.

Answer: 700

Step-by-step explanation:

105-35=70

0.10Xx=70

x=700

700

Step-by-step explanation:

I assume you need the slope-intercept form

y = ax + b

"a" is the slope of the line, "b" is the y- intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

for l we go from (5, 20) to (8, 80) and get

x changes by +3 (from 5 to 8)

y changes by +60 (from 20 to 80)

the slope is therefore

+60/+3 = 20/1 = 20 = a

so, we have

y = 20x + b

the y- intercept looks to be -80, but to be sure we use a point (e.g. 5, 20)

20 = 20×5 + b = 100 + b

b = -80

yes, the equation is

y = 20x - 80

for m we go from (5, 20) to (8, -40) and get

x changes by +3 (from 5 to 8)

y changes by -60 (from 20 to -40)

the slope is

-60/+3 = -20/1 = -20

we have therefore

y = -20x + b

we use the same trick for b as before

20 = -20×5 + b = -100 + b

b = 120

and our full equation is

y = -20x + 120

Answer:

Sum of two rational no. = 17/4

One rational no. = 5/2

So, Let the other rational no. be "x".

Therefore,

\begin{gathered} = > \frac{5}{2} + x = \frac{17}{4} \\ \\ = > x = \frac{17}{4} - \frac{5}{2} \\ \\ = > x = \frac{17 - 10}{4} \\ \\ = > x = \frac{7}{4} \end{gathered}=>25+x=417=>x=417−25=>x=417−10=>x=47

Answer:

Hope the picture will help you

Using equation;

The monthly payment is 67.5 dollars

The hours of labour that is required to replace the water pump is 4 hours

The purchase of the large TV including finance charges is 1615 dollars . A down payment of 400 dollars was paid. The remainder was paid in 18 monthly instalment payment.

Therefore, using equation,

let

x = amount paid each month

The monthly payment can be found as follows:

1615 = 400 + 18x

1615 - 400 = 18x

1215  = 18x

divide both sides by 18

x = 1215 / 18

x = 67.5 dollars

Therefore,

monthly payment = 67.5 dollars

The cost of replacing a water pump was 465 dollars. This include 145 dollars for water pump plus 80 dollars per hour for labour .

The number of hours for labour that was used to replace the water pump can be calculated as follows:

Using equation,

465 = 145 + 80h

where

h = number of hours for labour

465 - 145 = 80h

320 = 80h

h = 320 / 80

h = 4 hours

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The written and solved equation to determine the cost of the desserts, d is  5(9.75 + d) = 63.75; d = 3.00

Five friends ate lunch and spent a total of $63.75.

They each bought the same meal for $9.75, and they each bought the same dessert.

The equation to determine the cost of the dessert, d can be represented as follows:

They are 5 friends,

Hence,

5 (9.75 + d) = 63.75

48.75 + 5d = 63.75

Therefore, let's use the equation to solve for d.

48.75 + 5d = 63.75

63.75 - 48.75 = 5d

15 = 5d

divide both sides by 5

15 / 5 = 5d / 5

d = 3

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Answer: 0

Step-by-step explanation: We have to 2 answers to choose between, 0 and 1. 0.0379 is closer to 0 because if your decimal was more than 0.5 it would round to 1 as its nearest whole number. Hope this helps!

60,636.048 people are french speakers when the population is 5,053,004 and only 1.2% are the french speakers.

Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage. A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; thus, 100 percent represents the entire amount.

To manually calculate percentages, follow these steps:

1. Determine the number's initial format to be converted to a percentage.

The decimal or fraction format of the number to be converted to a percentage can be used. The next mathematical process to be performed on the number will be determined by the initial format.

2. Perform a mathematical calculation on the number to be converted to a percentage.

If the number to be converted to a percentage is a decimal number, such as 0.57, you may not need to proceed to the next step.

3. Multiply the result by 100.

To convert a decimal number, such as 0.57, to a percentage, simply multiply it by 100.

here we need to calculate 1.2% of 5053004

(1.2*5053004)\100

=60636.048

60636.048 people speak french in the country with population of 5053004.

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If the bank deposit paying simple interest grew from an initial amount of $1100 to $1265 in 6 months, then the interest rate is 30%

The initial amount = $1100

The  final amount = $1265

So simple interest = 1265-1100

= $165

Time period = 6 months = 6/12 years

We know

Simple interest I = P×r×t

Where P is the initial amount

r is the interest rate

t is the time period

Substitute the values in the equation

165 = 1100×r×(6/12)

165 = 550×r

r = 165/550

r = 0.3

r = 30%

Hence, If the bank deposit paying simple interest grew from an initial amount of $1100 to $1265 in 6 months, then the interest rate is 30%

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The domain of the function is (-1, 3, 5).

Hence the correct answer is Option(C).

Given function: (-1 3 5) (2 6 8).

Domain is the input values in a function i.e. here it is (-1 3 5).

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The correct connections for AC will be option b) AB+3.7 = 1.5. Two expressions joined by the equals symbol ("=") form an equation.

Hence, The correct connections for AC will be option b) AB+3.7 = 1.5.

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Using the binomial distribution, the probabilities are given as follows:

1) Three girls in a family of five children: 0.3125 = 31.25%.

2) At least two boys in a family of seven children: 0.9375 = 93.75%.

3) Total of 15 when four dice are thrown:  0.1080 = 10.80%.

4) At least two left-handed people in a group of 7: 0.1497 = 14.97%.

5) At least five of them have the same birth date: 0%.

The formula for the probability of x successes is:

[tex]P(X = x) = C(n,x).p^{x}.(1-p)^{n-x}[/tex]

[tex]C(n,x) = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

A children is equally as likely to be a boy or a girl, hence the parameters are given as follows:

n = 5, p = 0.5.

The probability is P(X = 3), hence:

P(X = 3) = C(5, 3) x (0.5)³ x (0.5)² = 0.3125 = 31.25%.

The parameters are:

n = 7, p = 0.5.

The probability of at least two boys is:

P(X >= 2) = 1 - P(X < 2).

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

This one is simple probability, number of desired outcomes divided by the number of total outcomes.

When 4 dice are thrown, we have that:

Hence the probability is:

p = 140/(6^4) = 0.1080 = 10.80%.

The parameters are:

n = 7, p = 0.1.

Hence, similarly to item 2:

The parameters are:

n = 75, p = 1/365 = 0.0027.

Then the probability is:

P(X >=5) = 1 - P(X < 5).

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Using a calculator, it is found that P(X < 5) = 1, hence the probability is of 0%, as P(X >=5) = 1 - 1 = 0.

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Answer:

y=-x^2+16x-55

Step-by-step explanation:

Since two intercepts are given (the two x-intercepts in this case), we should probably use intercept form.
y=a(x-b)(x-c)
plug in the intercepts which are 5 and 11 in this case
y=a(x-5)(x-11)
to solve for a, use the remaining point and set x to 6 and y to 5. we can do this because (6,5) is given to us as a solution of one of the points on the graph.

5=a(6-5)(6-11)
5=a*(-5)
a=-1
so, the equation should be:

y=   -  (x-5)(x-11)
expand the parentheses to get:

y=-x^2+16x-55


(also 5 points isn't a lot of points...)

Using it's formula, the bond's price in the context of this problem is given as follows: $5350.

To calculate the bond price, we need to know the face value(given in the missing information subsection at the end of the answer) and the yield rate, given at the problem.

The bond price is the given by the multiplication of the face value and 100% plus the yield, hence, in the context of this problem, it is given as follows:

Bond Price = 5000 x 1.07 = $5350.

The complete problem is given as follows:

"A bond with a face value of $5,000 has a current yield of 7% and a coupon rate of 8%, what is the bonds yield?"

As the face value is needed to calculated the bonds price.

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The current price index is mathematically given as,

$538.194

This is further explained below.

The index value may be calculated by taking the ratio of the current value to the reference value and multiplying that ratio by 100.

In regard to this issue, we have that:

Current value = $3.10

Reference value: $0.576

Generally, the  Index price for the is mathematically given as,

I = (3.10/0.576)*100

I= $538.194

The current price index number is 538.194

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Types of angles are given below

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. The plane that contains the rays is where two rays' angles are located. Two planes intersecting at an angle also produces an angle. We call to these as dihedral angles.

Given Data

∠1 and ∠4 are vertical opposite angles.

∠2 and ∠7 are alternate exterior angles.

∠4 and ∠8 are corresponding angles.

∠3 and ∠5 are co interior angle.

∠6 and ∠8 are co linear angles.

∠1 and ∠7 are alternate exterior angle.

∠3 and ∠6 are alternate interior angle.

∠1 and ∠3 are co linear angle.

∠2 and ∠6 are corresponding angles.

∠6 and ∠7 are vertical opposite angle.

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Answer:

-11/12

Step-by-step explanation:

The volume of the given cylinder is 37.68ft³.

So, according to the given image, the given solid is a cylinder.

Now, insert values in the formula as follows:

Therefore, the volume of the given cylinder is 37.68ft³.

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From the graph of the function, it's behavior on the intervals is given as follows:

Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast" along the xy-plane, that is, to the right and up on the graph, meaning that when x increases, y increases.

Hence, from the graph of the function, it is increasing for the values to the right of x = 0, that is, on the interval x > 0.

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast" along the xy-plane, that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence, from the graph of the function, it is decreasing for the values to the left of x = 0, that is, on the interval x < 0.

The graph of the function is shown at the end of the answer.

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Answer:

6 pieces of candy will be left.

Step-by-step explanation:

45×2 = 90

20×3 = 60 +

15×4 = 60

Ttl. of candies= 210

Candies ÷ people

210 ÷ 12 = 17.5

17-12= 5.5 (round to the tenth) 5.5-> 6

210-6= 204

you'll get 6 as the difference which is your answer.

Given:

There is an expression given in the question as,

Required:

We need to find the equal equation in the given option.

Explanation:

First we simplify the given equation

Final answer:

Answer:   20 is the answer hope you have a great day

!!!!!

Step-by-step explanation:

The scale factor used in the dilation through point c is 3/4.

Using the Scale Factor, shapes in various dimensions can be scaled. In geometry, we examine a wide variety of two- and three-dimensional geometrical forms.

Comparing figures with similar appearances but different scales or measures is possible using the scale factor. Take into account two circles that resemble one another but could have various radii. The scaling factor shows how much a figure has grown or shrunk from its starting point.

Any original shape can be designed as an extended or condensed version by using a scaling factor. In the equation y = Kx, K is the scaling factor for x.

The scale factor formula is provided by:

dimensions of the first form  x scale Factor = Dimension of new shape

Scale factor equals Dimension of New Shape divided by Dimension of Original Shape

Given, dimension of trapezium WXYZ = 8 m
Dimension of trapezium W'X'Y'Z' = 6 m
Using above literature and necessary assumptions:
WXYZ * scale factor = W'X'Y'Z'
Therefore, scale factor = W'X'Y'Z'/WXYZ ⇒ scale factor = 6m/8m = 3/4
Thus, the scale factor is 3/4.

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