Prove the following

please help

Prove The Followingplease Help

Answers

Answer 1

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x


Related Questions

Helppppppppppppppppppp

Answers

Answer:

Step-by-step explanation: Second one but I'm not sure so wait till someone else answers if they don't then just guess or pick the second one but if it's wrong I'm extremely sorry .!

Answer:

option forth is mistake:

<DEB and <CBE are not corresponding angle. they are co interior angle.

Find values of a and b that make both equalities true: a/b = 2/5 and 22/a = 11/6 .

Answers

Answer:

a=32b=80

Step-by-step explanation:

Find values of a and b that make both equalities true:

a/b = 2/5 and 22/a = 11/6 .

given that 22/a=11/16

cross multiply

11a=22x16

11a=352

a=352/11

a=32

put a=32 in  a/b = 2/5 to find b we have

32/b=2/5

cross multiply we have

2b=32x5

2b=160

divide both sides by 2 we have

b=160/2

b=80

Answer:

Step-by-step explanation:

First, we will start by solving: 22/a = 11/6

Solving for a

We can first cross multiply and we get this: 22 x 6 = 11a, Simplified it would be 132 = 11a. Now we know that a = 12.

Solving for b

Now knowing a = 12 we can get this. 12/b = 2/5 same thing, cross multiply. That would be: 12 x 5 = b x 2, Simplified: 60 = 2b so b = 30

Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.Of the flawed goods:80% show Type 1 flaws.50% show Type 2 flaws.30% show both Type 1 and Type 2 flaws.1. Make a Bivariate Table using the above data.2. What is the probability and expectations of type 1 flaw?3. What is the probability and expectation of Type 2 flaw?4. What is the probability and expectations of Type 1 and 2 flaws?5. What is the probability and expectations of no flaws?

Answers

Answer:

1)    

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW        0.01             0.95

2) 0.04 and $0.04

3) 0.025 and $0.025

4) 0.015 and $0.015

5) 0.95 and $0.95

Step-by-step explanation:

Given that;

financial cost = $1

p(flaw) = 0.05  

p(type 1 flaw / flaw) = 80% = 0.8

p(type 2 flaw / flaw) = 50% = 0.5

p( type 1 and 2 flaw/flaw) = 30% = 0.30

1) Bivariate Table

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

p( only 1 flow) = 0.04 - 0.015 = 0.025

p( only 2 flow) =  0.025 - 0.015 = 0.01

THEREFORE  the Bivariate Table;

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW       0.01              0.95

2) probability and expectations of type 1 flaw?

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

Expected financial cost to the firm per good = $1 × 0.04 = $0.04

3)  probability and expectation of Type 2 flaw

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

Expected financial cost to the firm per good = $1 × 0.025 = $0.025

4) probability and expectations of Type 1 and 2 flaws

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

Expected financial cost to the firm per good = $1 * 0.015 = $0.015

5) probability and expectations of no flaws?

Probability of no flaw = P(No flaw) =95% =  0.95

Expected financial cost saved the firm per good due to no flaw

= $1 × 0.95 = $0.95

please help me asap​

Answers

1.>
2.4with exponent of 6 aka (D)
3.120
1.) >
2.) is the fourth choice
3.) is 120

45 degrees+2k+k=180
can you help me with this?

Answers

Answer:

k=45

Step-by-step explanation:

45+2k+k=180

Step 1: Simplify both sides of the equation.

45+2k+k=180

(2k+k)+(45)=180(Combine Like Terms)

3k+45=180

3k+45=180

Step 2: Subtract 45 from both sides.

3k+45−45=180−45

3k=135

Step 3: Divide both sides by 3.

3k/3=135/3

k=45

Help ! This is a different one

Answers

Answer:

[tex]this \: probability \: is \: \frac{8}{10} = \frac{4}{5} [/tex]

Answer:

B. 4/5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

What is the distance between -50 and 12 on a number line?

Answers

Answer:

The distance is 62

Step-by-step explanation:

Take the second number and subtract the first number

12 - ( -50)

12 + 50

62

The distance is 62

Can anybody help and get this right I keep getting it wrong ..

Answers

Answer:its d

Step-by-step explanation:

What is the answer? Please

Answers

Answer:

56

Step-by-step explanation:

P=2(l+w)=2·(16+12)=56

Answer:

Area of the total garden is: given by: 4 x^2 +56 x + 192

Step-by-step explanation:

Complete the product

(2x + 16)* (2x + 12) = 4x^2 +24 x +32 x + 192 =

= 4 x^2 +56 x + 192

A candy store uses 77.2 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?

Answers

Answer:

The store will use 772 grams of sugar in 10 hours.

Taking into account the rule of three, a candy store uses 772 grams of sugar in 10 hours.

Rule of three

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

Grams of sugar

The rule of three can be applied as follow: if in 1 hour a candy store uses 77.2 grams of sugar, in 10 hour how many mass is used?

1 hour ⇒ 77.2 grams

10 hours ⇒ x

So: [tex]x=\frac{10 hoursx77.2 grams}{1 hour}[/tex]

Solving:

x= 772 grams

In summary, a candy store uses 772 grams of sugar in 10 hours.

Learn more with this example:

brainly.com/question/12482948

Chau rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 79 cents for each mile driven. Chau had to pay $130.80 when he returned the truck.

For how many miles did he drive the truck?

Answers

Answer:

Chau drove 139 miles

Step-by-step explanation:

Knowing how much Chau spent at the end makes the question much much easier. So what you want to do is take of the base fee ($20.99) off the final amount he had to pay.

$130.80 - $20.99 = $109.81

Now you divide $109.81 by the additional charge ($0.79)

Change the divisor (0.79) to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend (109.81) the same, 2 places to the right.

We then have the equations:

10981 ÷ 79 = 139.000

and therefore:

109.81 ÷ 0.79 = 139.000

Chau drove 139 miles.

Which situation involves an annuity?

A.
investing a $1,000 lump sum into an investment account
B.
depositing $5,000 into a one-year CD
C.
using $500 to open a savings account
D.
making regular deposits of $100 into a sinking fund

Answers

Answer:c. Using $500 to open a saving account

Step-by-step explanation:

Answer:

its D. making regular deposits of $100 into a sinking fund.

Step-by-step explanation:

I got it right

I need help with this math problem

Answers

Answers:

4) 1:1.5

5) 1.5:7

Complete the input-output table for the function
y= 4+ [2 – 41 – 4
Input
Output
-2
-1
0
1
2

Answers

Answer:

-257

Step-by-step explanation:

Three 24-hour clocks show the time to be 12 noon. One of the clocks is always correct, one loses a minute every 24 hours, and one gains a minute every 24 hours. How many days will pass before all three clocks
show the correct time again?

Answers

Answer:

1440 days

Step-by-step explanation:

Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register #1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash receipts for Saturday?

Please answer ASAP :)

Answers

Answer:

17 686.98

Step-by-step explanation:

$3,497.22 + $2,259.86 + $4,178.40 + $2,863.17+ $4,888.33.

Answer:

$17,686.98

Step-by-step explanation:

Solve for y. 84,000x + 36,000y = 1,962,800

Answers

Answer:

Step-by-step explanation:

y=4907 7x
____ _ __
90 30

y equals 4907 over 90 minus 7x over 30

What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)

Answers

Answer:

The interquartile range is 60 ⇒ D

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile

Let us explain how to find the interquartile range

Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3  which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile range

Let us do these steps to find it

∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}

→ Arrange them

∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}

∵ They are 11 numbers

∴ The middle number is the 6th number (5 before it and 5 after it)

∵ The 6th number is 45

The median is 45

→ Find the lower set (before the median)

∴ The lower set is {1, 5, 12, 14, 29}

→ Find the lower quartile Q1

∵ The lower quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 12

Q1 = 12

→ Find the upper set (after the median)

∴ The upper set is {48, 61, 72, 84, 96}

→ Find the upper quartile Q3

∵ The upper quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 72

Q3 = 72

→ Subtract them to find the interquartile range

∵ The interquartile range = Q3 - Q1

∴ The interquartile range = 72 - 12

The interquartile range = 60

1999 total revenue of a company from music sales and Licensing was 14.2 billion dollars. It was forecasted that this number would continue to drop until it reaches 5.3 million in 2014. Find the percent decrease in music revenue.

Answers

Answer:

62.67%

Step-by-step explanation:

Total revenue of a company from music sales is 14.2 billion dollars in 1999.

It reaches 5.3 million in 2014.

We need to find the percent decrease in music revenue. It can be given by :

[tex]\%=\dfrac{|\text{original value-decrement value}|}{\text{original value}}\times 100\\\\\%=\dfrac{|14.2-5.3|}{14.2}\times 100\\\\\%=62.67[/tex]

So, the percent decrease in music revenue is 62.67%.

Look at the diagram below. The friction force between the bag and the floor is 4N. What is the net force acting on the bag?

Answers

Answer: 21 net force to the right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your right


PLEASE HELP ME
THIS IS DUE IN 10 MINUTES

Answers

Answer:

3rd and 4th one.

Step-by-step explanation:

what is the range of the function?
1 -->2
2-->4
3-->9
4-->16

Choices:
A: {1,2,3,4,9,16}
B:{1,2,3,4}
C:{2,4,9,16}
D:{1,2}

Answers

Answer:

I think that answer is C i believe

A monkey is swinging from a tree. On each swing, she travels along an arc that is 75%, percent as long as the previous swing's arc.

Answers

Answer:

The Total length of the first swing=64 m.

Step-by-step explanation:

Round 15,485,516 to the nearest ten thousands
Your answer

Answers

Answer:my answer is 15,490,000

Step-by-step explanation: cuz that is what rounding does

What is the result of 3-5?
0
2
2
3
1
9
1
5
9

Answers

Answer:

4-7

Step-by-step explanation:

Answer:

wrong its not 4 7

Step-by-step explanation:

If (8, 3) is rotated 90o about the origin the new point would be:

A.
(3, -8)

B.
(-8, 3)

C.
(-3, 8)

D.
(8, -3)

Answers

Answer:

A.

(3, -8)

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

The rule is that(x,y)-->(-y,x) so therefore making it c

complete the square, please show work x^2+12x=13

Answers

Answer:

[tex]x = 1 \: or \: x = - 13[/tex]

Step-by-step explanation:

[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]

How to get a tutor on here y’all ? It’s won’t pop up for me

Answers

Answer:

I dont think you can, Pretty sure u can only search for answers. I would double check though

Step-by-step explanation:

I’m pretty sure that when you ask a question it will give you an option of asking a tutor if you have the Brainly app

what are the 2 violins to all the instruments
2 violins, 1 viola, and 1 cello

Answers

2 violens yup yup yup yup yup

Do these numbers show a proportion? Help me!
93, 15
62, 10

Answers

Answer: Yes

These numbers are a proportion. Let me show an example:

Jenna reads 93 pages of a book in 15 pages. How many pages does she read in 10 minutes?

93 ÷ 15 = 6.2

6.2 x 10 = 62

Answer: She reads 62 pages in 10 minutes.

These numbers can show a proportion like the example listed.

Hope this helps you!

Answer: yeah, sure

93 divided by 15 = 6.2

6.2 x 10 = 62

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