if sinθ/secθ =1/2, find sinθ+secθ/sinθ-secθ

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \frac{\sin \theta}{\sec \theta} = \frac{1}{2}[/tex]

And we want to find the value of:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta}[/tex]

From the second expression, we can divide both the numerator and denominator by sec(θ). Thus:

[tex]\displaystyle = \frac{ \dfrac{\sin \theta + \sec \theta}{\sec \theta} }{ \dfrac{\sin \theta - \sec\theta}{\sec \theta} }[/tex]

Simplify:

[tex]\displaystyle = \frac{\dfrac{\sin \theta}{\sec \theta} + 1}{\dfrac{\sin\theta}{\sec\theta} - 1}[/tex]

Since we know that sin(θ) / sec(θ) = 1 / 2:

[tex]\displaystyle = \frac{\left(\dfrac{1}{2}\right)+1}{\left(\dfrac{1}{2}\right)-1}[/tex]

Evaluate:

[tex]\displaystyle = \frac{\dfrac{3}{2}}{-\dfrac{1}{2}} = -3[/tex]

Therefore:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]


Related Questions

A group of neighbors is holding an end of summer block party. They buy ppp packs of hot dogs, with 888 hot dogs in each pack. All together, they have 565656 hot dogs for the party.
Write an equation to describe this situation.
How many packs of hot dogs did the neighbors buy?

Answers

Answer:

565656÷8=p

So the answer is 637:D

Write the number 3388198 in word form

Answers

Three million three hundred eighty-eight thousand one hundred ninety-eight - 3388198

solve each equation type the answers in the boxes below a( 3x equals 12 B( -3x equals 9 c( 3 x equals 1/2 D( 1/2 x equals 12​

Answers

Answer:

a) x = 4

b) x = -3

c) x = 1/6

d) x = 24

Step-by-step explanation:

Basic solve for x techniques

a) 3x = 4

Divide both sides by 4. This applies to all the questions.

-5x(x+1)
simplify the answer

Answers

Answer:

[tex]-5x^2-5x[/tex]

Step-by-step explanation:

[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]

Answer:

-5x^2 -5x

Step-by-step explanation:

-5x(x+1)

Distribute

-5x*x  +-5x*1

-5x^2 -5x

15 workers working 8hrs a day can complete a piece of work in 20 days. In how many days will 10 workers do it,working 6 hrs a day? please help!!

Answers

Answer:

40 days

Step-by-step explanation:

w1*h1*d1=w2*h2*d

15*8*20=10*6*d

2400=60d

d=2400/60

d=40

Sand and gravel are mixed in the ratio 5:3
form ballast
a) How much gravel is mixed with 750kg of
sand?
b) How much sand is mixed with 750kg of
gravel?

Answers

Answer:

a) 450 gravel   b)1250 sand

Step-by-step explanation:

:)

                           

HELP ASAP

A bowl contains 5 pieces of red candy, 6 pieces of green candy, and 11 pieces of blue candy. Two pieces of candy are drawn and then replaced back into the bowl. What is the probability of drawing from the bowl a piece of red and green candy?

Answers

Red Candy = 5

Green Candy = 6

Blue Candy = 11

Total Candies = 22

Probability = Possible Outcomes/Total Outcomes

Red + Green = 11

Total outcomes = 22

Probability = 11/22

= 1/2

Must click thanks and mark brainliest

There is 6.19% chance of drawing a red and green candy from the bowl.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this case, we are interested in finding the probability of drawing a piece of red and green candy from a bowl containing red, green, and blue candies. To calculate this probability, we will use the concept of independent events and the formula for probability.

We have a bowl with a total of 5 red candies, 6 green candies, and 11 blue candies. The total number of candies in the bowl is 5 + 6 + 11 = 22.

We are drawing two candies from the bowl, and after each draw, we replace the candy back into the bowl. This means that the number of candies remains the same for each draw.

To calculate the probability of drawing a red and green candy, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of ways we can draw one red candy and one green candy.

We can draw a red candy in 5 ways (since there are 5 red candies), and we can draw a green candy in 6 ways (since there are 6 green candies). Therefore, the number of favorable outcomes is 5 * 6 = 30.

The total number of possible outcomes is the total number of ways we can draw two candies from the bowl. Since we are replacing the candies after each draw, the total number of possible outcomes for each draw is equal to the total number of candies in the bowl, which is 22. Since we have two draws, the total number of possible outcomes is 22 * 22 = 484.

Now, we can calculate the probability of drawing a red and green candy by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 30 / 484

Probability ≈ 0.0619

Therefore, the probability of drawing a piece of red and green candy from the bowl is approximately 0.0619 or 6.19%.

To know more about Probability here

https://brainly.com/question/13102278

#SPJ2

please help me!!! :)

Answers

Answer:

C

Step-by-step explanation:

f(x) = x-8 when x>3, f(7)=7-8=-1

write as a sentence in words 7.8 > 3.4

Answers

Answer:

seven and eight tenths is greater than three and four tenths

Hope it helped you

Mark’s weekly wage is $500. He spends $200 on rent, 25% on food and saves a fifth. How much does he have left to spend?

Answers

Answer:

i don't know bbynnyjjyjjtjtnntnt

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

37

Step-by-step explanation:

tan(theta)=perpendicular/base

tan(theta)=3/4

theta=arctan(3/4)=37

Answer:

37°

Step-by-step explanation:

for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,

tan x=opposite/adjacent

tanx=3/4

tanx=0.75

x=tan inverse of 0.75

x=36.9 or 37°

I hope this helps

(3 x 5) x 2 = 3 x ( blank x 2 )

Answers

Answer:

the answer is 5 for blank

Step-by-step explanation:

30=6×blank

blank = 30÷6

blank= 5

What is the value of the expression below when x=3
10x²- 7x + 10

Answers

Answer: 79

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

10x² - 7x + 10

x = 3

Substitute the value into the expression

= 10 (3)² - 7 (3) + 10

Simplify by multiplication

= 10 (9) - 21 + 10

= 90 - 21 + 10

Simplify by subtraction

= 69 + 10

Simplify by addition

= 79

Hope this helps!! :)

Please let me know if you have any questions

Answer:

92

Step-by-step explanation:

The variable 'x' shows up twice in this expression.  Replace each instance of 'x' with 3:

10(3)^2 - 7(3) + 10  =  10(9) - 21 + 19  =  92

Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speedss per hour

Answers

Answer:

Step-by-step explanation:

To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:

                     d        =        r        *        t

Car 1

Car 2

What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:

                    d        =        r        *        t

Car 1                                                   9

Car 2                                                  9

What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.

                  d        =         r        *       t

Car 1                                r        *       9

Car 2                           r - 10     *       9

Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:

               d        =        r        *        t

Car 1       9r       =        r        *       9

Car 2   9r - 90  =     r - 10     *       9

The distance between these 2 cars after that 9 hours is 910 km, therefore:

distance that car 1 traveled + distance that car 2 traveled = 910 km:

9r + 9r - 90 = 910 and

18r - 90 = 910 and

18r = 1000 so

r = 55.56 km/hr

and the other car is going 10 km/hr slower at 45.56 km/hr

plz help, explain me the method
Topic: Simultaneous equations
Class 9 ICSE​

Answers

Answer:

heyy matee...

going according to given parameters

let 2 numbers be x and y

so atq =>

3x + y = 142 => y = 142 - 3x

and 4x - y = 148

4x - ( 142 - 3x ) = 138

4x - 142 + 3x = 138

7x = 280

x = 40

now y = 142 - 3(40) = 142 - 120 = 22

so x = 40 and y = 22

Answer:

Hope so, it helped you.

Step-by-step explanation:

For solving the equation i elimanated y by adding both the equation.

Solve by substitution:
y=x-12
8x+8y=-16

Answers

Answer:

[tex](x,y) = ( 5 , - 7)[/tex]

Step-by-step explanation:

we would like to solve the following system of linear equation by substitution:

[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]

notice that, we're already given the value of y therefore simply substitute it to the II equation

[tex]8x + 8(x - 12) = - 16[/tex]

distribute:

[tex]8x + 8x - 96= - 16[/tex]

simplify addition:

[tex]16 x- 96= - 16[/tex]

isolate -96 to left hand side and change its sign:

[tex]16 x= - 16 + 96[/tex]

simplify addition:

[tex]16 x= 80[/tex]

divide both sides by 16 and that yields:

[tex] \boxed{x= 5}[/tex]

now substitute the got value of x to the first equation:

[tex]y = 5- 12[/tex]

simplify subtraction:

[tex]y = - 7[/tex]

hence,

the solution is (x,y)=(5,-7)

G I V E N :

Solve by substitution :

y = x - 12

8x + 8y = -16

S O L U T I O N :

y = x - 12 ------- eq(1)

8x + 8y = -16 ------- eq(2)

Finding x

Putting y = x - 12 in eq(2) we get

8x + 8(x - 12) = -16

8x + 8x - 96 = -16

16x = 96 - 16

16x = 80

x = 80/16

x = 5

Finding y

Putting x = 5 in eq(1) we get

y = x - 12

y = 5 - 12

y = -7

Hence, x is 5 and y is -7

HELP PLEASE !! REAL ANSWER ONLY

find the surface area of the cylinder round to the nearest tenth ​

Answers

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

Need step by step explanation for this,
Thanks

Answers

Answer:

d = 19/5 or, 4.75 in decimal form

Step-by-step explanation:

On what sum of money will the compound interest for 2 years at 8% p.a. will be ₹7448?​

Answers

Answer:

Rs.6420

Step-by-step explanation:

we know that A=P(1+r/100)

7488=P(1+8/100)2

7488*10000/108*108=P

P=Rs.6420

Answer:

Principal=Rs.45000 ; And Amount=Rs.52488.

Step-by-step explanation:

For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)

And for Amount : Sum of principal and interest.

Hope so, you liked my solution.

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?

Use the formula r = StartFraction d Over t EndFraction, where r is the rate, d is the distance, and t is the time,
0.08 kilometers per minute
12.5 kilometers per minute
46 kilometers per minute
200 kilometers per minute

Answers

Answer:

A 0.08 kilo per min

Step-by-step explanation:

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?

Use the formula r = StartFraction d Over t EndFraction, where r is the rate, d is the distance, and t is the time,

0.08 kilometers per minute

12.5 kilometers per minute

46 kilometers per minute

200 kilometers per minute

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760 = 484

Answer:

(15). 363 bulbs ; (17). 484 students

Step-by-step explanation:

# 15.

2.5 % = 0.025

14,500 × 0.025 = 362.5 ≈ 363 bulbs

# 17.

[tex]\frac{22}{80}[/tex] = [tex]\frac{x}{1760}[/tex]

x = [tex]\frac{1760*22}{80}[/tex] = 484 students

(0.000010)(0.00055)(0.002)

Answers

Answer:

[tex]1.1*10^{-11}[/tex]

I used a calculator.

Answer:

[tex]1.1*10^{-11}[/tex]

Step-by-step explanation:

0.000010*0.00055*0.002= 1.1*10^-11 or basically 0.

What is the tenth term in the sequence 9, 13, 17, 21, 25…?


A. 29
B. 35
C. 45
D. 49

Answers

Answer:

45

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

a1 = 9

The formula is

an = a1+d(n-1) where n is the term number

an = 9+4(n-1)

We want the 10th term

a10 = 9+4(10-1)

     = 9+4(9)

    = 9+36

   = 45

please help!!! will give brainliest!!!

Answers

Answer:

the image or text isnt there?

Step-by-step explanation:

Simplify the given expression below:
(1 + 3) + (2 - 5i)

Answers

Answer:

6 -5i

Step-by-step explanation:

(1 + 3) + (2 - 5i)

Combine like terms

1+3+2    -5i

6 -5i

Given that S=n/2(2a+(n-1)d). If a=4,d=3 and n=20 find the value of S​

Answers

Answer:

s=650

Step-by-step explanation:

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]

s=20/2(2x4+19x3)

s=20/2(8+57)

s=20/2x65

s=10x65

s=650

Answer:

s=650

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]  

s=20/2(2x4+19x3)  

s=20/2(8+57)  

s=20/2x65  

s=10x65  

s=650

I need this quick please

Answers

Answer:

Note the same measures marked in the picture.

(8)

EF = EG = 3

(9)

AG = AE + EG = EB + EG = 8 + 3 = 11

(10)

AD =FA - DF = FA - EG = 7 - 3 = 4

(11)

m∠EFG = m∠EGF = 28

(12)

DF = EF = 3

Find 3 solutions to the equation y = −4x −1

Answers

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

4.
If you took a horizontal slice out of the three-dimensional shape, what two-
dimensional shape would you have?

1) rectangle
2) circle
3) square
4) triangle

Answers

Answer:

Square

Step-by-step explanation:

It got 4 sides like square and its form is looking like a square.

Find the value of z.


Answers

Answer:

40

Step-by-step explanation:

210-x=50×2

or, 210-x=100

or, x=210-100

or, x=110

so,

z = 360-210-110

or, z = 40

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