Find sec x if sin x = -7/25 and cot x = -24/7.
Show work. Thanks.

Answers

Answer 1

Answer:

[tex]sec\ x = \frac{25}{24}[/tex]

Step-by-step explanation:

Given

[tex]sin\ x = -\frac{7}{25}[/tex]

[tex]cot\ x = -\frac{24}{7}[/tex]

Required

Determine sec x

Sec x is calculated as:

[tex]sec\ x = \frac{1}{cos\ x}[/tex]

Multiply by sin x/sin x

[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]

[tex]tan\ x = \frac{1}{cot\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]

The equation becomes:

[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]

[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]

[tex]sec\ x = \frac{25}{24}[/tex]


Related Questions

A light bulb consumes 17100 watt-hours in 4 days and 18 hours. How many watt-hours does it consume per day?

Answers

Answer:

3600

Step-by-step explanation:

17100 in a total of 114 hrs (24*4+18)

Find it hourly

17100/114=150

Then, multiply by 24 to get the amount it consumers in the day.

150*24=3600

Answer:

first multiply 4 with 18

then divide the answer with 17100

So,

4x18=72

17100 /by 72=237.5

It uses 237.5 watts per day

Checking= 237.5x72=17100

So it is true.

Step-by-step explanation:

What’s the answer to this question

Answers

Answer:

x=0.5 / ½

the error in lin solution is on the second line

which is 2x(4-17).it suppose to be 8x-34x.

I think this is the answer and also the mistake was that Lin forgot to add the negative symbol after solving the equation when he did 2x (4-17)

The population of weights for men attending a local health club is normally distributed with a mean of 172-lbs and a standard deviation of 27-lbs. An elevator in the health club is limited to 34 occupants, but it will be overloaded if the total weight is in excess of 6222-lbs. Assume that there are 34 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded

Answers

Answer:

The average weight beyond which the elevator would be considered overloaded is 183 lbs.

Step-by-step explanation:

Weight in excess of 6222 lbs means that the elevator is overload.

With 34 men:

Average weight greater than:

6222/34 = 183 lbs

The average weight beyond which the elevator would be considered overloaded is 183 lbs.


Find the area of the figure shown. Can someone help me please

Answers

Answer:

180 cm^2

Step-by-step explanation:

(8 x 15)/2 = 60 cm^2

(16 x 15)/ 2 = 120 cm^2

120 + 60 = 180 cm^2

180 cm2....

..........

sdsdsdssdsdsdssdsssdsdsdsddasd

Answers

Answer:Big Chungus

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4^3=4*4*4

4*4=16*4=64

The table represents temperatures for 9 days in February. What is the average temperature?

Answers

Answer:

35

Step-by-step explanation:

free points for me

Answer:

35- Yw Lovie <3

Step-by-step explanation:

Show me how to do 2/3 x 8=

Answers

Answer:

5.33333333333

Step-by-step explanation:

2/3= 0.66666666666

0.66666666666 x 8= 5.33333333333

:)

Is this even possible?

Answers

Answer:

yes.

simply subtract the coupons from the total.

56.12-9.85= $46.30

can anyone One help plz fast all them .​

Answers

Answer:

Step-by-step explanation:

5) 2y - 2

6) 5x - 8

8) 14x - 21

9) -2x + 2 OR 2 - 2x

10) 13x + 4

11) -12 + x OR x - 12

Hope that helps!

If the spinner below is spun, what is the probability that the spinner will not land on yellow?

Answers

Answer:

C

Step-by-step explanation:

I did it already its c and also its the right answer

Is 307,404 divisible by 3?​

Answers

ANSWER:
No, neither is devisible by 3

PLEASE HELP!!!! ILL GIVE BRAINLIEST!


Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation.

Answers

Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut

Step-by-step explanation:

So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other

Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more

3. Find the measure of the angle given.
E
60°
D
F
100
P
30°
80°
120°
50°

Answers

Answer:

80

Step-by-step explanation:

The sum of the opposite inscribed angles is 180

x+100 = 180

X = 80

Please help me how do I solve and draw the problem ?

Answers

Answer:

Side of the rhombus is 12 cm. Let d1 = 2x cm , so d2 = 2x+6 cm

Now, 12^2 = x^2 + (x+3)^2 = 2x^2 + 6x+9 = 144, or

2x^2 + 6x-135=0, or

x^2+3x-67.5 = 0

x1 = [-3 +(9+270)^0.5]/2

= [-3+279^0.5]/2

= [-3+16.70329309]/2 = 6.851646544 cm [x2 will be negative and so inadmissible]

So d1 = 2x6.851646544 = 13.70329309 cm and d2 = 19.70329309 cm.

So the area of the rhombus is 13.70329309x19.70329309/2 = 135 sq cm.

please help soon!! will award brainliest

Answers

three shapes. three areas to find. three areas to add together to find the whole area. gotcha.

Step-by-step explanation:

smaller rectanglelarger rectangleright triangle

smaller rectangle:

length is 7 cm and width is 4 cm, so the area is 28 square cm

larger rectangle:

width is 4 cm and length is 10 cm, so the area is 40 square cm

Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.

right triangle:

base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = 12 square cm

With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).

Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.

weird shape's area from adding three shapes' areas:

28 + 40 + 12

= 80 square cm (ANSWER)

Help meeeeeeeee please!!!!

Answers

Answer:

C

Step-by-step explanation:

A population has a standard deviation of 11. What is the approximate standard error of the mean for a sample size of 150?

Answers

Answer:

the approximate standard error is 0.90

Step-by-step explanation:

The computation of the approximate standard error is shown below:

As we know that

Standard error is

= Standard deviation ÷ √mean

= 11 ÷ √150

= 11 ÷ 12.247

= 0.90

Hence, the approximate standard error is 0.90

Amella bought roast beef for $6.85 per pound. Find the total cost Amelia bought 4
pounds of roast beef.

Answers

She bought $27.40 worth of roast beef.

$6.85/pound
Each pound is $6.85 so we need to find how much she will pay if she buys 4 pounds correct.
So $6.85x4 =$27.4 or $6.85+$6.85+$6.85+$6.85=$27.4
Total cost for 4 pounds
$27.4

what is V50+V32 please help.

Answers

Answer:

82V

Step-by-step explanation:

regroup terms 50V+V×32

regroup terms 50V+32V

simpfly  82V

85V.
Really there’s nothing else to do in this problem unless V stands for something than I think it stands for. All you need to do is add 50+32

What is the arc length of ab if the angle degree is 60 and the radius is 8 cm

Answers

Answer:

8cm

Step-by-step explanation:

Formula

l=2rsintita/2

l=2*8sin60/2

l=16sin30

l=8cm

Please mark as brainliest

Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21

Answers

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

I don't know if this is correct but is A the correct answer?

Answers

Answer:

B?

Step-by-step explanation:

I think is B because solar power never run out.

(For the next 5000000000 years at least...)

I believe is B

Explanation:
Solar energy never runs out

What is 212,514 +396,705 estimated

Answers

Answer:

Estimate = 600,000

Step-by-step explanation:

An estimate can be defined as a rough calculation of a numerical value, usually the upper limitation.

Given the following numerical values;

212,514

396,705

To add the two values together, we would first of all determine the estimate.

Estimate of 212,514 = 200,000

Estimate of 396,705 = 400,000

Adding the two values;

200,000 + 400,000 = 600,000.

Actual addition of the values would have given;

212,514 + 396,705 = 609,219.

Therefore, 600,000 is an estimated value of 609,219.

Plz help me!!
I am timed!

Answers

Answer:

4 is the length

5 is the width

3 is the height

60 cubes

60m is the volume

A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper

Answers

Answer:

The gain percent made by shopkeeper is 10.5%.

Step-by-step explanation:

Given:

Price at which goods are marked = 30%

Discount on the marked price = 15%

To Find:

Gain percentage of the shopkeeper

Solution:

Let the cost price of the product be = 100

Therefore,

MP = 30 + 100 = 130

Since discount is 15%. thus -

Discount = 15/100 x 130

= 19.5

Selling price = MP - Discount

SP = 130 - 19.5

= 110.5

Profit = SP - CP

= 110.5 - 100

= 10.5

Calculating the gain%

Gain% = 10.5/100 x 100

= 10.5

Answer: The gain percent made by shopkeeper is 10.5%.

Consider the figure shown below. What is the value of the angle x?

x = _______ degree. ​

Answers

X=66 degrees. Because of corresponding alternate interior angles. Interior angles of triangle is 180 degrees

Express each rate below as a unit rate.
975 calories in 13 brownies

Answers

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

Find the height. Write the answer in terms of pi.​

Answers

Answer: 10 / pi

Explanation:

V = pi * r^2 * h (basically just stacking an circle of area pi * r^2 on top of each other h times, this addition of area is the volume)

1210 = pi * (22 / 2)^2 * h (since 22 is diameter, 22 / 2 = radius)

Solved the equation for h:

1210 / 121 = pi * h

10 / pi = h, thus we find our answer



5. Point C (3, -4) is reflected on the line y = -x, then reflected again on the X axis.

the reflection composition of point C is ....

a. C "(4, 3)

b. C '(4, -3)

C.

C "(- 4, 3)

d. C "(- 4, -3)​

Answers

Answer:

[tex]C" = (4,3)[/tex]

Step-by-step explanation:

Given

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

Transformation 2: x axis reflection

Required

The new coordinates of C

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

This gives: (-y,-x)

So:

[tex]C = (3,-4)[/tex]

[tex]C' = (4,-3)[/tex]

[tex]C' = (4,-3)[/tex]

Transformation 2: x axis reflection

This gives: (x,-y)

So:

[tex]C' = (4,-3)[/tex]

[tex]C" = (4,3)[/tex]

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