Verify and show work

csc x - cos x • cot x = sin x

Answers

Answer 1

Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3


Related Questions

I am very confused about this but only need the answer.
Please Help

Answers

Answer:

C

Step-by-step explanation:

The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.

The circumference of the circle 1 is less than the circumference of the circle 2.

What is circumference?

Circumference is "a distance around the circle".

According to the question,

The area of the circle 1 is 6π and the area of the circle 2 is 7π.

Area of the circle = π.r²

Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.

Hence, the circumference of the circle 1 is less than the circumference of the circle 2.

Learn more about circumference here

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Estimate the weight of the chips in the bag.

Answers

Answer:

Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2

Step-by-step explanation:

um just round

P.S. Iready sucks

Answer:

Kale ; 1(oz)

Carrots; 4(oz)

Sweet Potatoes; 4(oz)

Beets; 2(oz)

Step-by-step explanation:

When rounding anything that is equal to or greater than 5 rounds up, anything that is less than 5 rounds down.

Round to the nearest whole ounceVegetable        |     Weight(oz)

       Kale              \          1.35                ⇒    1(oz)

    Carrots            \         3.50                ⇒   4(oz)

Sweet potatoes   \         3.81                ⇒   4(oz)

      Beets              \        2.29                ⇒   2(oz)

Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes. how many dimes would he get for the 7th session

Answers

Answer:

78125

Step-by-step explanation:

AABC and AXYZ are similar. Find the missing side length.
Y
21
AA
3
6
4
Z
C X
28
(The triangles are not drawn to scale.)

Answers

Answer:

42

Step-by-step explanation:

it is stated that the triangle are similar so their side lengths must be proportional, we can use this to find the missing side length

AB/XY = BC/YZ write this with the side lengths

3/21 = 6/? cross multiply expressions

3? = 126 divide both sides by 3

? = 42

somebody please help me with this​

Answers

Answer:

P(A) = 5/12

P(B) = 1/2

Step-by-step explanation:

A) Sum greater than 7

If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.

There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.

B) Sum is even

If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:

If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.

There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.

Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3

A cube has a volume of 1000 cubic feet. what is the length of an edge of the cube? show how you found the answer. please help

Answers

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So the length of an edge of the cube is 10 feet.

find the surface area of the pyramid. the surface area of the pyramid is __in squared.

Answers

Answer:

[tex]561.08in^{2}[/tex]

Step-by-step explanation:

[tex]S A = lw + l[/tex] [tex]\sqrt{(\frac{w}{2})^{2} + h^{2} } + w[/tex] [tex]\sqrt{(\frac{l}{2})^{2} + h^{2} }[/tex]

[tex]SA = 14(14) + 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} }+ 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} } = 561.08in^{2}[/tex]

a roll of netting measures r metres.ryan bought 1/4 of a roll and trimmed 2 metres of the netting.he had 5 meters of netting left.how long was the original role of the netting before Ryan bought it​

Answers

Answer:

28 m

Step-by-step explanation:

full roll length: r

Ryan bought: r/4

He trimmed 2 m: r/4 - 2

Length left: 5

r/4 - 2 = 5

r/4 = 7

r = 28

Answer: 28 m

A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 113 people who live in a rural area were selected and 58 identified as a democrat. find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat.

Answers

Answer:

[tex]CI=\{-0.2941,-0.0337\}[/tex]

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.

We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:

[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

can someone do this for me please?! Just the answer pls

Answers

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

can someone help me here

NONSENSE=REPORT

topic: Circles and its Concept​

Answers

Answer:

Step-by-step explanation:

Circumference of a circle: 2πrArea of a circle: πr²π = 3.14r (radius) = d/2

1. Circumference: 2(3.14)(4.2) = 26.38 in.

  Area: πr² = 3.14(4.2)² = 55.39 in.²

2. Circumference: 2(3.14)(1) = 6.28 m.

   Area: πr² = 3.14(1)² = 3.14 m.²

Hope this helps!

HELPPPP WITH MATHH HOMEWORKK PLSSS

Answers

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

is 1.010010001 rational

Answers

Answer:

Yes, 1.010010001 is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

yes, 1.010010001 is rational

Step-by-step explanation:

A rational number has the form p q, where p and q are integers, q* 0 otherwise it is an irrational number.

What is the area of ΔABC to the nearest tenth of a square millimeter?

Answers

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC


application factorise 5x²-20​

Answers

5x²-20

5(x²-4)

hope it helps...!!!

Can anyone tell me the formula or way to solve this problem

Answers

[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]

Write the phrase as an expression.

a number t cubed

Answers

Answer:

[tex]t^{3}[/tex]

Step-by-step explanation:

cubed means to the power of 3

Which equation represents the graph
shown below?
y
650
600
550
500
450
400
350
300
w
250
200
150
100
50
X
-2
2
4
6
8
10
12
14
16
18
-50
-100

Answers

Answer:

y300

Step-by-step explanation:

line graph start at y300

If Saul CANELO Alvarez has 8 belts how many belts would he have it 34 were taken away

Answers

Answer:

42

Step-by-step explanation:

I would guess that Saul had 42 belts before because 42-34 is 8

Carl is wrapping present in the box shown. How much wrapping paper doe she need not including overlap

Answers

Answer:

164 [tex]in^{2}[/tex]

Step-by-step explanation:

We find the areas of all the faces

30    [tex]in^{2}[/tex]

30[tex]in^{2}[/tex]

40[tex]in^{2}[/tex]

40[tex]in^{2}[/tex]

12[tex]in^{2}[/tex]

12[tex]in^{2}[/tex]

add them all up to get 164[tex]in^{2}[/tex]

:)

HELP I DONT GET THIS AND ITS DUE IN AN HOUR! PLEASE SHOW YOUR WORK IN PART B BECAUSE I DONT KNOW WHAT TO DO! I’LL GIVE BRAINLIEST AND 20 POINTS!!

Last year’s winner set a school record by completing 37 sit-ups. Amelia wants to know how many weeks she will need to train to beat this record.

Part A

Why is Amelia’s goal of breaking the school record best described by an inequality? Explain.

Part B

Write the inequality and graph the solution. How many weeks of training
will it take for Amelia to beat the record? Show your work.

Answers

An inequality is used to show two values that are different and to show that the two values are unequal.

What is an Inequality?

This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.

We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.

Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.

Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.

Read more about inequalities here:

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h(t) = t² – 2t
Evaluate h (x + 2)


Need help I’m reviewing for a final (will leave good review)

Answers

Answer:

h(x + 2) = x² + 2x

Step-by-step explanation:

The base function is :

⇒ h(t) = t² -- 2t

⇒ h(t) = t (t - 2)

Substitute x + 2 in place of t :

⇒ h(x + 2) = (x + 2) (x + 2 - 2)

⇒ h(x + 2) = (x + 2)(x)

h(x + 2) = x² + 2x

[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]

A customer in Arizona where sales tax is 5.6% orders a cheeze pleeze bites subscription that cost 5.40 every 2 months how much sales tax is collected in a year

Answers

Answer:

see the attachment.

the answer is $ 32. 40/ Year

Calculate the average velocity of a motor cycle that travels 72km/hr in 20 seconds.

Answers

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s

Mrs. norris is assigning the line up of the trumpet players in the parade. tell whether the events are dependent or independent. explain your answer.

event a: kadonna is chosen to be the first trumpet player in line

event b: jerome is chosen to be the second trumpet player in line

a: the choice of the first trumpeter does not affect the choice of the second, so the events are independent.

b: the choice of the first trumpeter does not affect the choice of the second, so the events are dependent.

c: the person chosen to be first cannot also be second, so the events are independent.

d: the person chosen to be first cannot also be second, so the events are dependent

Answers

The event A is an independent event while the event B is a dependent event.

How to find dependent or independent events?

An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.

Event A is an independent event because the first player does not have to wait for any player before he plays.

However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.

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. What is the area of this polygon?
10 m
9 m
8 m
15 m

Answers

Answer:10 squared plus 9 squared equals 15 squared

Step-by-step explanation:

take the square root of your answer

PLEASE HELP ME! I WILL MARK THE BRAINLEIST

Answers

Answer:

Part B:3/6 should be your answer answer:)!

Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.

Step-by-step explanation:

Pete is 14 and his grandfather is 54. How many years
ago was his grandfather 6 times as old as Pete?

Answers

Answer:

6 years ago

Step-by-step explanation:

[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]

So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.

What is the value of y?

Answers

Answer:

I think that answer is 65....Broo 65 or what broo...

Find the height of the cylinder if the radius is 3 and the volume is 340

Answers

Answer:

12.025

Step-by-step explanation:

h=v/(π*r square)

divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)

340÷(π×3square)

giving you 12.025

(original in calculator=12.02504014)

but it is 12.025

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Im honestly so confused and need help with it because i just want to go on to the next question what are the hings that facinate you whenever you see Which graph represents the solution set of this inequality? -2x + 7 < 23 What was the initially motivation dutch exploration in north america? Mr. and Mrs. Kolar want to help their 12-year-old daughter Karenresist peer pressure to smoke. They encourage Karen to brainstorways to refuse a cigarette in different situations that might comeup. What thinking skill are the parents helping Karen build?-handling a hypothetical situation-role playing- memory-transitivity has a stronger affinity for hemoglobin than oxygen has The Most Significant influence on the life and art of Eugene Boudin was hisA. relationship with his motherB. relationship with Pre-RaphaelitesC. love of the city of Venice D. time as a sailor before becoming a painter 5. September 11th, 2001 is on of the most significant days in American history. On that day -A. The U.S. government agency NASA landed a spacecraft on MarsB. The Cold War ended with the collapsing of the Soviet UnionC. Terrorists attacked the World Trade Center in New YorkD. Iraq launch two ballistic missiles that landed in Miami, Florida Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases. Reset Next Anyone please help me this I can't solve so I need help. waaaaaahhhhhh Which social problem did the nation face at the end of the civil war?. explain in word form. The automobile allowed for the oil industry to expand in places like california, oklahoma and texas. -true -false Identify the choice that best completes the statement or answers the question.12 Julia is in a car with her farther. The car is undergoing centripetal acceleration. What is happening to the car?F The car is changing direction at a constant speed.G The car is changing direction and speeding up.H The car is stopping suddenly.I The car is slowing down. Given the data below which set of numbers contains the lower quartile median and upper quartile help fast please !! Which inequality has an open circle when it is graphed on a number line?x greater-than three-fifthsStartFraction 4 over 7 EndFraction greater-than-or-equal-to xx less-than-or-equal-to 12x greater-than-or-equal-to negative 6 2. Claim, Evidence, Reasoning Generalize which communities were most positively affected and which were most negatively affected by the addition of soil invertebrates. Find the circumference of a circle whose area is 25. Leave the answer in terms of . PLS HELP ME IT IS DUE TODAYFor each value of , determine whether it is a solution to-28 < 4w - 8. Find the volume of the sphere. Round your answer to the nearest tenth. A sphere is shown with a diameter of 12 yards. The volume is about cubic yards.