Which of the following would be an acceptable first step in simplifying the expression
sinx/1- cosx?

A. sinx - sinx/1- cos x
B. 1/cscx - cosx
C. Cannot be simplified further
D. sin x(1+cosx)/(1-cosx)(1+cosx)

Answer:

13

Step-by-step explanation:

This problem is a type of puzzle called a Number Pattern. Number patterns always follow a specific pattern. In this case, its +9, -3.

The first number in this pattern is 1.

The second number in this pattern is 10.

That is an increase of +9.

The third number in this pattern is 7

That is a decrease of -3.

The fourth number in this pattern is 16.

That is an increase of +9.

Therefore, we can conclude that the next number will have to be a decrease of -3.

16 - 3 = 13

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Answer:

Volume=96.7

Step-by-step explanation:

V=πr^2h=

V=π·1.8^2·9.5=

96.69822

A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance.

A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance. It is an essential type of motion used in geometry due to the rigid transformation of objects considered in the topic.

Rigid transformation is a method required to change the position, size, orientation, or dimensions of a given shape. This implies that the given shape (object) undergoes the appropriate transformation into its image. Types of rigid transformation are translation, rotation, dilation, and reflection.

Considering the given question, the quadrilateral performed a rigid motion. This was done by first reflecting it about the vertical axis, and now translating it 2 units downwards towards the horizontal axis.

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Step-by-step explanation:

that question is fundamentally wrong.

"appropriate" completely depends on the situation and circumstances.

if we are dealing with a weight that a human can feel, lift and distinguish from other weights without any special tool, then we are usually using kg. because then we humans can "connect" with the case, and deal with every day numbers.

if we are dealing with tiny little quantities like dosages of substances in a pill or other medication, then milligram is more than "appropriate".

because then, as humans, we are still dealing with numbers we can understand. like tens or hundreds.

if we kept kg in such situations, we would have to deal with numbers like 0.000008 kg vs. 0.000021 kg, where we could not see the magnitude of difference right away.

Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

x = 3

Step-by-step explanation:

3x + 3   =  6 + 6

3x + 3   =  12

3x         =  12 - 3

3x         =  9

   x        =  3

3 (3) + 3   =  6 + 6

   9  + 3   =  12

       12     =  12

Answer: y = 3x+5, 3, (-1,2)

Step-by-step explanation:

y = mx + c where m is the slope, so we must find the slope

Slope = rise/run = (5-2)/(0-(-1)) = 3

So y = 3x + c

To find c, we have to substitute one of the coordinates on the graph into the equation, (-1,2), the point that is marked

2 = 3(-1) + c

c = 5

So the equation of the graph is y = 3x + 5

The value of the stock a year ago is $7778

The given parameters are:

Depreciation rate, r = 10%

Value of investment today, V(t) = $7000

The value of the stock a year ago is then calculated as:

Value of investment today = Value of investment last year * (1 - Depreciation rate)

Substitute the known values in the above equation

7000 = Last year * (1 - 10%)

Evaluate the difference of 1 and 10%

7000 = Last year * (90%)

Divide both sides by 90%

Last year = 7778

Hence, the value of the stock a year ago is $7778

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Answer:

Step-by-step explanation:

The probability and the parameter

Step-by-step explanation:

The formula for probability  in a binomial distribution is where p is the probability of success (ticket with popcorn coupon), n is the number of trials (tickets bought) and x the number of successes desired. In this case p=0.629 (probability of buying a movie ticket with coupon), n=29,  and x=17,18,19, ...29.

The probability of more than 16 is equal to the sum of the probability of x=17, 17,18,19, ...29.

Answer:

yes

Step-by-step explanation:

yes

Answer:

3.36 cm

Step-by-step explanation:

24 - 5 1/2 = 18.5

To find the distance on the map, we can set up a proportion:

1 cm / 5.5 miles = x cm / 18.5 miles

5.5 times 37/11 equals to 18.5; 1 times 37/11 is approximately equals to 3.36 cm (rounded to the nearest hundredths).

Answer: [tex]\Large\boxed{y-2=-\frac{6}{5} (x-0)}[/tex]

Step-by-step explanation:

Given the requirement of function form

Point-slope form: y - y₁ = m (x - x₁)

Given information

Slope (m) = -6/5

Y-intercept (x₁, y₁) = 2 = (0, 2)

Substitute values into the required form

y - y₁ = m (x - x₁)

y - (2) = (-6/5) (x - 0)

[tex]\Large\boxed{y-2=-\frac{6}{5} (x-0)}[/tex]

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Answer:

A and D

Step-by-step explanation:

Let's find the slope of the functions in all tables.

A. -1/2

B. -1/2

C. -1/2

D. 1

E. -1/2

Option D. is out since it has a different slope.

The answer has to be two tables out of A, B, C, and E.

Start with Table A.

As x goes from 8 to 6, y goes up by 1.

We can create points for x = 0 and x = 2

x = 2, y = 9

x = 8, y = 6

This is exactly table D.

Answer: Tables A and D

If three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.

Given:

3 hens lay 3 eggs in 3 days

First step is to determine the number of egg one hen lay in 3 days

1 hen in 3 days lays 3/3

1 hen in 3 days lays=1 egg

Second step is to determine the number of egg 3 hens lay 1 day

1 hen in 1 day lays 1/3 egg

3 hens in 1day lay=(1×3)/3

3 hens in 1day lay=1 egg

Third step is to determine the number of eggs 3 hens lay in 9 days

3 hens in 9 days lay=(1×9)

3 hens in 9 days lay=9 eggs

Therefore assuming three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.

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Answer:

130

Step-by-step explanation:

let the inside value be,x

x+30°+20°=180°(Being sum of interior angle of triangle)

or,x+50°=180°

or,x=180°-50°

or,x=130°

Now,

let the exterior angle be,a

a=x(VOA)

a=130°

Therefore the value of a is 130°.

The theorem used and the angle measures are:

D. corresponding angles postulate

m∠1 = 150°, m∠2 = 150°

According to the corresponding angles postulate, if two angles lie on same relative corner along a transversal that cuts two parallel lines (corresponding angles), then their measures are equal.

Thus, ∠1 and ∠2 are corresponding angles, therefore:

m∠1 = m∠2 [corresponding angles postulate]

Given the following:

m∠1 = (50x − 50)∘,

m∠2 = (20x + 70)∘

Therefore, we would have:

50x − 50 = 20x + 70

Subtract 20x from both sides

50x − 50 - 20x = 20x + 70 - 20x

30x − 50 = 70

Add 50 to both sides of the equation

30x − 50 + 50 = 70 + 50

30x = 120

Divide both sides by 30

30x/30 = 120/30

x = 4

Plug in the value of x

m∠1 = (50x − 50) =  50(4) − 50 = 150°

m∠2 = (20x + 70)∘ = 20(4) + 70 = 150°

Thus, the answer is: D. corresponding angles postulate

m∠1 = 150°, m∠2 = 150°

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Answer:

Step-by-step explanation:

98-7=91

165-9=156

(91/156)/13=7/12

Answer = 13

It is divided by a positive integer a, which will equal the number 13.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the data provided by the question,

The number are 98 and 165.

The remainders are 7 and 9.

So, the actual number is,

98 - 7 = 91 and,

165 - 9 = 156

They are divided by the number 13, so the value of a will be equal to 13.

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Answer:

IT HAS A SLOPE OF -2

Y INTERCEPT IS 0,0

Step-by-step explanation:

Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.

Therefore, the required proofs for each question are shown below:

Problem 1:

Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.

Thus,

                     STATEMENT                          REASON

1. <NMQ ≅ <NPQ                            Any point on a perpendicular bisector      

                                                        makes equal measure of angle with the

                                                        two ends of the line segment.

2. NQ ⊥ MP                                     Definition of a line.

3. MQ ≅ PQ                                     Equal segments of a bisected line.

4. MN ≅ PN                                     Any point on a perpendicular bisector    

                                                        is at the same distance to the

                                                        two ends of the line segment.

5. <MNQ ≅ <PNQ                           Equal measure of the bisected angle.

Problem 2:

A line segment is the shortest distance between two points.

            STATEMENTS                    REASONS

1. m<PSR  ≅ m<PSQ                A perpendicular bisector is always at a right  

                                                  angle to the bisected line segment.

2. m<RPS ≅ m<QPS                 Equal measure of the bisected angle.

3. RS ≅ QS                                Property of a bisected line segment.

4. PR ≅ PQ                                Any point on a perpendicular bisector    

                                                  is at the same distance to the two ends of  

                                                 the line segment.

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Answer:

10 ≤ f(x) < 52

Step-by-step explanation:

the range is the values of f(x) given by the domain - 2 ≤ x < 5

substitute the end points of the interval into f(x)

f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10

f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52

then range is 10 ≤ f(x) < 52

Answer:

30 cm

Step-by-step explanation:

every 5 cm of a belt, 16 more green beads are used.

there are 96 more green beads than silver, so it will take 6 5 cm belts in order to have equal numbers of green and silver beads left

Answer:

Step-by-step explanation:

After Aspen sews 30 cm of the belt, they have equal numbers of green and silver beads left. ANSWER:30

Answer:

23 24

it is the answer it is answered

JD Scott I have no idea how to go but she is kind I don't really care about

After half of the men go away, the provisions will last for another 16 days.

First, we know that the garrison has provisions for 10 days.

2 days after that, the garrison has provisions for another 8 days. Here we know that the number of men on the garrison is reduced to its half. Then, the time that the provisions in the garrison will last is multiplied by 2.

So we just need to solve the product:

2*8 days = 16 days.

After half of the men go away, the provisions will last for another 16 days.

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See attachment for the graph of the function y = 5 sin(4x)

The trigonometry function is given as:

y = 5 sin(4x)

To plot the graph, we use the following domain:

x > 0

This represents the minimum value of x

Also, we use

x < π/2

This represents the maximum value of x

When the domain are combined, we have:

0 < x < π/2

This means that the domain that gives a complete cycle is 0 < x < π/2

See attachment for the graph of the function

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Answer:  11

Step-by-step explanation:

XY + YZ = XZ

  XY + 3 = 14

         XY = 11

By secant line formula, the slope of the line represented in the table is equal to - 2.

In this problem we must determine the slope of a function based on the secant line formula. After a quick glance at the table, we find that the slope formula can be used as Δx and Δy are constant at every pair consecutive points. Then, the slope of the line is:

m = (- 3 - 9)/(9 - 3)

m = - 12/6

m = - 2

By secant line formula, the slope of the line represented in the table is equal to - 2.

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Answer + Step-by-step explanation:

1) The probability of getting 2 white balls is equal to:

[tex]=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053[/tex]

2) the probability of getting 2 white balls is equal to:

[tex]=C^{2}_{5}\times (\frac{8}{20} \times \frac{7}{19}) \times (\frac{12}{18} \times \frac{11}{17} \times \frac{10}{16})\\=0.397316821465[/tex]

3) The probability of getting at least 72 white balls is:

[tex]=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72} \times \left( \frac{7}{20} \right)^{78} +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73} \times \left( \frac{7}{20} \right)^{77} + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149} \times \left( \frac{7}{20} \right)^{1} +\left( \frac{8}{20} \right)^{150}[/tex]

[tex]=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}][/tex]

First of all, we would determine the total number of balls in the urn as follows:

Total number of balls = 8 + 7 + 5

Total number of balls = 20 balls.

Next, we would determine the probability of getting two (2) white balls without replacement:

P(2 white balls) = 8/20 × 7/19

P(2 white balls) = 2/5 × 7/19

P(2 white balls) = 0.1474.

When 5 balls are selected without replacement, the probability of getting two (2) white balls would be calculated as follows:

P = [⁵C₂ × (8/20 × 7/19) × (12/18 × 11/17 × 10/16)]

P = [5!/(2! × (5 - 2)!) × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]

P = [5!/(2! × 3!) × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]

P = [20/2 × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]

P = [10 × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]

P = 0.3456.

When 150 balls are randomly selected with replacement, the probability of getting at least seventy two (72) white balls would be calculated by applying binomial probability equation. Mathematically, binomial probability is given by this equation:

[tex]P =\; ^nC_r (p)^r (q)^{(n-r)}[/tex]

Substituting the given parameters into the formula, we have;

P = [¹⁵⁰C₇₂ × (8/20)⁷² × (8/20)⁽¹⁵⁰ ⁻ ⁷²⁾]

P = [150!/(72! × (150 - 72)!) × (8/20)⁷² × (8/20)⁽¹⁵⁰ ⁻ ⁷²⁾]

P = [150!/(72! × (78)!) × (4/5)⁷² × (4/5)⁽⁷⁸⁾]

P = 0.7948.

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Answer:

i belive its graph B