Given csc0=178, determine the values for "a" and "b" in cos0=ab

Answers

Answer 1

The value of a and b are respectively 15 and 17 respectively.

What are trigonometry ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Given that csc θ = 17/8 and cos θ = a/b.

The reciprocal of sin θ is csc θ.

Therefore,

1/sinθ = 17/8

or, sin θ = 8 /17

Applying the trigonometry identity cos²θ = 1- sin²θ

cos²θ = 1- (8/17)²

cos²θ = 1- 64/289

cos²θ = 225/289

cos θ = 15/17

The value of a is 15 and the value of b is 17.

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Related Questions

Graph the system.



What is the estimated solution of the system?

Enter your answer in the blanks. Round each coordinate to the nearest integer.

The lines intersect closest to the integer coordinates

Answers

The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

What is Graph of System of Linear Equations

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

Kindly find attached graph below.

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If a_1=7a

1



=7 and a_n=a_{n-1}+5a

n



=a

n−1



+5 then find the value of a_5a

5


Answers

The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.

Using the recursive formula:

a_2 = a_1 + 5a = 7a + 5a = 12a

a_3 = a_2 + 5a = 12a + 5a = 17a

a_4 = a_3 + 5a = 17a + 5a = 22a

a_5 = a_4 + 5a = 22a + 5a = 27a

so a_5 = 27a

This is the final result and no need to calculate more.

Thus the final value of a_5 is 27a.

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Which angle measures are correct? Select three options.
O m 2= 125°
m 3 = 55°
O m 8= 55°
O m 12= 100°
O m14 = 100°

Answers

Answer:

Step-by-step explanation:

analyze the graph, we found ∠1=∠5,∠2=∠6,

one.because ∠5+∠6=180, so ∠2=∠6=180-∠5=180-55=125

two.∠3=∠2=125

three.∠8=∠5=55

four.∠12=∠9=80

five.∠14=∠10=180-∠9=100

so, the three options are ∠2,∠8,∠14

What does exponential growth look like on a logarithmic graph?

Answers

Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.

Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.

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If AnB= {2,4}
AnB'= {0,1}
AUB= {0,1,2,3,4,5}, Then what is B\A?

Answers

Answer:

I don't know I'm just a grade 6 girl

F(x)=Sin2x ,x0=pi:3

f(x)=3x-x^2 ,x0=-1

Pleae help and if omeone ha dicord erver to help olve math problema pleae give me invite

Answers

The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.

What in mathematics is trigonometric?

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

if x⁰=π in eq1

then [tex]f(x)= sin\ 2 \pi[/tex]

[tex]f(x) = 0.109[/tex]

if x⁰= -1 in eq2

then [tex]f(x)=3(-1)-(-1)^2[/tex]

[tex]f(x) = -4[/tex]

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can you guys help me with this its due today and if you get it correct I will give brainliest

Answers

The first one should be 2/9

One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48

Answers

Answer:

d)  48

Step-by-step explanation:

1/6n = 4 + 1/12n

2/12n = 4 + 1/12n

subtract 1/12n from each side to get:

1/12n = 4

cross-multiply:

n = 48

A cylindrical cooler ha a diameter of 30 inche and a height of 24 inche. Runner in
a marathon can ue cone haped cup to get a drink from the cooler. If the cup have a
diameter of 3 inche and a height of 4 inche, how many full cup would be able to
be filled from the cooler?

Answers

So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.

What is volume of cylinder?

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."

Given that,

diameter of cylinder = 30 inch

diameter of cup = 3 inch

height of cylinder = 24 inch

height of cup = 4 inch

Calculate the volume of the cylinder:

Volume = πr²h

putting the values we get:

Volume = (3.14)(30/2)²(24)

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

Volume = 16959 in³

Calculate the volume of the cup:

Volume = (3.14)(3/2)²(4)

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

Result

Volume = 28.26 in³

Divide the volume of the cylinder by the volume of the cup, we get:

Number of full cups =  16959 in³ /  28.26 in³

Number of full cups = 600

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What are tractable and intractable problems?

Answers

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

Define tractable problem.

An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.

Here,

Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.

This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.

Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

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A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?

Answers

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

x is the sales tax percentage. hence, we have to solve for x.

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

[tex]$78.84 = \frac{73x}{100} + 73[/tex]

[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73

[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100

[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use. In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost no more than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.

Answers

34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use

20+7m

In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use

26.3+4m

We need to find the amounts of monthly phone use will Plan A cost no more than Plan B

20+7m<26.3+4m

7m-4m<26.3-20

3m<6.3

m<2.1

Hence, 34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

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WHAT?
Never in my life have I ever wanted to kill math

Answers

Answer:

Y-intercept: 15

Slope: 1.3

Equation: y = 1.3x + 15

Step-by-step explanation:

Base on the table:

# of haircuts = x

Cost ($) = y

Knowing that;

y-intercept = The starting point (y)

Thus, based on the table the y-intercept is 15.

Y-intercept: 15.

To find the slope.

We first have to pick two points on the line & determine their coordinates.

Then subtract y-coordinates of these two points and also subtract x-coordinates for these two points.

After that divide the y by the x.

Shown below:

I'm going to use;

(0,15) and (1,20.5)

0 = x₁

15 = x₂

1 = y₁

20.5 = y₂

Now we do;

20.5 - 1 = 19.5

15 - 0 = 15

19.5 / 15 = 1.3

Hence, Slope = 1.3

Slope: 1.3

The equation - y = mx + b

Knowing that;

b = y-intercept

m = Slope

Substitute it in we have;

y = 1.3x + 15

Equation: y = 1.3x + 15

RevyBreeze

Find the lowest common denominator of 1/3 and 2/5

Answers

Answer:

The lowest ccommon denominator (or LCD) of 1/3 and 2/5 is 15.

Step-by-step explanation:

The lowest multiple of 3 and 5 is 3*5 = 15.

In terms with the LCD, 1/3 now equals 5/15; and 2/5 now equals 6/15.

Hope this helps :)

Which would be an appropriate display for the data shown in the table?

scatter plot
histogram
circle graph
line graph​

Answers

Answer:

circle graphs work well to illustrate percentages

Step-by-step explanation:

05. Divided by 26.75

Answers

Answer:

use this link

Step-by-step explanation:https://www.calculatorsoup.com/calculators/math/math.php

{1/4096, 1/1024, 1/256, 1/64}
Find the common ratio

Answers

Answer:

None of them are the same

what is the area of the triangle

Answers

Answer:

The area of the triangle is 27

The volume of a cylinder is 1,0291 cubic centimeters. The height of the cylinder is 21 centimeters. What is the radius, to the nearest centimeter, of the cylinder?​

Answers

Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

The amount of money in a savings account is given by � = 580(1.03)" where t is the
time in years. After how many years will the account have reached $1000? Clearly
demonstrate your strategy for figuring it out.

Answers

An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.

How the period is determined?

The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.

The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:

A = 580(1.03)^t

$1,000 = 580(1.03)^18.429

Investment Period:

I/Y (Interest per year) = 3%

PV (Present Value) = $580

PMT (Periodic Payment) = $0

FV (Future Value) = $-1000

Results:

N = 18.429

= 18 years and 5 months

Total Interest = $420

Thus, for the account to reach $1,000, it will take 18 years and 5 months.

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Question Completion:

A = 580(1.03)^t

HELPPPPPPP MEEEEE


If a trapezoid has an area of 135cm^2 and it’s height is 10cm and one base is 12 cm, find the other base length.




thxxx <333

Answers

The length of other base  is 15 cm.

The area of a trapezoid can be found by using the formula:

Area = (b1+b2) * h / 2 where b1 and b2 are the lengths of the bases, and h is the height.

Given that the area of the trapezoid is 135 cm^2, the height is 10 cm, and one base is 12 cm, we can substitute these values into the formula to find the length of the other base.

Area = (b1+b2) * h / 2 = 135cm^2

We can solve for the other base length by isolating b1

b1 = 2*Area/h - b2

b1 = 2*135/10 - 12 = 27 - 12 = 15

So, the other base length is 15 cm.

Therefore, The length of other base  is 15 cm.

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anyone know how to solve these

Answers

Answer:

amogus

Step-by-step explanation:

B)

(1,46) (2,40) (3,39) (4,35) (5,30) (6,27) equation line of best fit

Answers

Answer:

ertyghujikol

Step-by-step explanation:

3456t7ujn

hey! please help i’ll give brainliest

Answers

Answer: The answer is -ing (D)

Step-by-step explanation:

How do I solve/graph 2x + 3y <12

Answers

The graph has plotted and attached below

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y <12.

Here The graph have plotted and attached below.

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Suppose that you have 8 cards. 5 are green and 3 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 3 yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card. G

Answers

The necessary probabilities are 3/8, 1/3, 9/64, and 37/64.

What is probability?

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

S = { G1, G2, G3, Y1, Y2, Y3, Y4, Y5 }

G = { G1, G2, G3 }

P(G) = 3/8

E = { G2, Y2, Y4 }

P(G|E) = 1/3

P(G and E) = P(G)*P(E) = (3/8)*(3/8) = 9/64

P(G or E) = P(G) + P(E) - P(G and E) = (3/8) + (3/8) - (9/64) = (6/8) - (9/64) = (48/64) - (9/64) = 37/64

The required probability is 3/8, 1/3, 9/64 and 37/64.

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A prism with length of 3 units, height of 3 and one-fourth units, and width of 1 unit.
What is the volume of the prism?


whole-unit cubes fit inside the prism.

quarter-cubic units fit inside the prism.
The total volume of the prism is
units3

Answers

Answer:

9 3/4 cubic units

Step-by-step explanation:

The formula for the volume of a rectangular prism =

Length × Width × Height

From the question:

Length = 3 units

Height = 3 1/4 units

Width = 1 unit.

Volume of the prism =

3 units × 3 1/4 units × 1 unit

= (3 × 13/4 × 1 )cubic units

= 39/4 cubic units

= 9 3/4 cubic units

The total volume of the rectangular prism = 9 3/4 cubic units

Answer:

✔ 9

whole-unit cubes fit inside the prism.

✔ 3

quarter-cubic units fit inside the prism.

The total volume of the prism is  

✔ 9 3/4  units3.

At Hunter Elementary School, 73% of students buy their lunch. In a randomly selected first grade class of 19 children, find the probability that at least 12 buy their lunch. Round to 3 decimal places.

Answers

The probability that at least 12 buy their lunch =  0.887

Given that 73% of students buy their lunch.

⇒ p = 0.73

And q = 1-p

q =  0.27

sample size (the number of student selected) n = 19

We need to calculate the probability that at least 12 buy their lunch.

i.e., P(x ≥ 12)

We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(X ≥ 12)

= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]

= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025

= 0.887

The required proability is  0.887

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Teresa wrote this expression to describe the total distance she was going to swim during two swim classes s+3 which situation could be described by this expression

Answers

The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression is (Number/variable, Math Operator, Number/variable)

The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.

And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.

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The complete Question is:

Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?

A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.

B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.

C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.

D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.

The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area

Answers

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

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Diana rolls a regular dice, what is the chance that she will roll a 4? Assume that Aye is guilty of this crime. What can explain why he waited so long to do it? After all, by waiting 9 years, Aye would have given Tut time to have a son (or several sons), and he would have given the people enough time to forget the resentment they felt towards Tut's father. what is the vertex and y-intercept of y=-(x+3)^2+4 vertex: (3, 4); y-intercept: 13vertex: (3, 4); y-intercept: 9vertex: (3, 4); y-intercept: 5vertex: (3, 4); y-intercept: 5 i need serious help pls Which of the following is not a reason people choose to hold money balances?A. Money holdings are good assets during periods of inflation.B. Liquidity.C. Reduced risk compared to other assets.D. Having cash to pay for unplanned expenditures and emergencies. Why did Justice Sonia Sotomayor write her book just help how do you build a better world? How did the Mexican War contribute to feelings of sectionalism in America? A molecule that can be used as a molecular clock has a neutral mutation rate of one mutation per 40 million years. How many years ago did two species share a common ancestor if the molecules found in these two species differ by a total of eight mutations Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).Correctly complete the sentence.The perimeter of pentagon CDEFG is____________the perimeter of pentagon C'D'E'F'G' Find the length of the missing side. If the side length is irrational, round to the nearest tenth. I need help with 16 and 17 Cell phones have given millions of people the ability to become photographers and videographers. Some of us are now able to document almost every aspect of our lives. Do you ever post images or videos online or share them with other people? Do you think the images we find online will serve as useful primary sources for historians in the future? Why or why not? Write down your views in two or three sentences what is 4-3x=-17 workout? Find the volume of this squarebased pyramid.10 in12 in[? ]in3 The Real Estate Products Division of McKenzie Co. is operated as a profit center. Sales for the division were budgeted for 2019 at $1,250,000. The only variable costs budgeted for the division were cost of goods sold ($610,000) and selling and administrative ($80,000). Fixed costs were budgeted at $130,000 for cost of goods sold, $120,000 for selling and administrative and $95,000 for noncontrollable fixed costs. Actual results for these items were: How do internet gateway routers help to defend the network from cyberattack? I need help with #4 and #5? PLEASE HELP IM FAILINGHow does the policy-setting role played by the Chinese communist party compare with the roles played by the parties in the US government? Compare and contrast the views of loyalists and patriots on American Independence from Great Britain(Three paragraphs please) Eli sells refrigerators. His base salary is $250 per week, and his commission is $50 for each refrigerator (r) that he sells. He needs to make more than $900 this week. Which TWO statements are correct for this situation?A) $50r + $250 < $900B) $50r $900C) $50r + $250 > $900 D) Eli needs to sell more than 13 refrigerators. E) Eli needs to sell more than 15 refrigerators.