Mathematics High School

prove that 1 by sec theta + tan theta equals to 1 minus sin theta by cos theta ​

Answers

Answer 1

Answer:

the answer is in the photo.

hope it helps.

Prove That 1 By Sec Theta + Tan Theta Equals To 1 Minus Sin Theta By Cos Theta

Related Questions

Written as a rate, 32 miles in 8 hours would be ____ miles per hour.

Answers

the answer to your question would be 4 miles an hour

Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x

Answers

Answer:

Step-by-step explanation:

Answer:

the x is 5

Step-by-step explanation:

x=5y+20:

x=5y+20

x=(5)(-3)+20

x=5 (simplify boy sides of the equation)

Estimate the perimeter of the figure to the nearest whole number.

Answers

Answer:  perimeter 28 units

==========================================================

Explanation:

Refer to the diagram below. In figure 1, I'm showing how the purple side A moves outward to the left, and the green side B moves up. This effectively expands the corner out, but we keep the same perimeter (since sides A and B didn't change in length). Apply these sort of steps to each of the four corners and you'll get what you see in figure 2. The purple box has the same perimeter as the orange original figure.

Why go through these steps? Because it's much easier to find the perimeter of a rectangle than the perimeter of some complicated shape like this. The purple rectangle in figure 2 has horizontal length of 8 units, and the vertical width is 6 units.

The perimeter of the purple rectangle is

P = 2*(length+width)

P = 2*(8+6)

P = 2*14

P = 28

Or you could say: 8+6+8+6 = 14+14 = 28

The purple rectangle in figure 2 has perimeter of 28 units, so the orange figure also has the same perimeter.

---------------

Another approach to find the perimeter is to ignore figures 1 and 2, and simply count the number of edges along the outside. You should count 28 in total. I recommend you mark each side counted with a value so you don't lose track.

Does the point (1, 3) lie on the line y = 2x + 4?

Answers

Answer:

No, the point (1, 3) doesn't lie on the line y=2x+4.

Step-by-step explanation:

When you substitute x with 1 and y with 3, the numbers do not equal each other once you solve the problem.

[tex]3=2(1)+4[/tex]

[tex]-4[/tex]           [tex]-4[/tex]

------------------

[tex]-1[/tex] ≠ [tex]2[/tex]

if f(x) = 7(x-1)+8, what is the value of f(1)

Answers

f(1) = 8

Steps:
f(x) = 7(x-1) + 8
f(1) = 7(1-1) + 8
f(1) = 7(0) + 8
f(1) = 0 + 8
f(1) = 8

[Help asap, will mark brainliest when it allows me] Find the angle measures for the following triangle.

Answers

Answer:

x=53

x+2= 53+2= 55

Step-by-step explanation:

(x+2) + x + 72 = 180 (angles of triangle supplementary)

2x+ 74 = 180

2x = 180- 74

2x= 106

x= 106/2

x= 53

Answer:

x = 53°

(x+2)° = 55°

Step-by-step explanation:

Well we know that all the three angles added up together equals 180, so we can set the value of all the angles added up together as 180:

[tex]x+(x+2)+72= 180[/tex]

Now lets add what we can together:

[tex]2x+74=180[/tex]

Since we want to get x by itself to find its value, lets move 74 onto the other side and isolate the x:

[tex]2x=106[/tex]

[tex]x = 53[/tex]

And now we have the value of x, but let's plug them in and see if they still all equal to 180:

[tex](53+2)+53+72=180[/tex]

[tex]180 = 180[/tex]

Find the selling price. Cost to store: $50
Markup: 10%
The selling price is $

Answers

It should be $55 because if the profit is $5 then then answer is $55 sorry to confuse you the answer is just ($55)

Find the missing length to each problem.... (please help me triangle inequality theorem *geometry*)

Answers

Answer:

ML=6,CD=7,AC=12,UW=22

Step-by-step explanation:

21.(2x+20):(x+19)=1:2 // x+19=4x+40 // 3x=-21 // x=-7// ML=2x+20=20-14=6

22.(x-3):(4+x)=1:2 // 4+x=2x-6 // x=10 // CD=x-3=10-3=7

23.(x-1):(x+5)=1:2 // x+5=2x-2 // x=7 // AC=x+5=7+5=12

24.(20+x):(x+31)=1:2 // x+31=40+2x // x=-9 // UW=x+31=-9+31=22

Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?

Answers

Answer:

£6655

Step-by-step explanation:

Given data

Principal=  £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is  £6655

A coin is tossed four times. What is the probability of getting tails four times in a row?

Answers

Answer:

11/16

Step-by-step explanation:

P(TTHH) = 4C2*(1/2)^4 = 4!/2!*2!*(1/2)^4=6/16  

Total Probablity = 1/16 + 4/16 + 6/16

=11/16

An annual pass to a zoo costs $43.25 per person. If the park sold $3762.75 of passes, which equation can you use to find the total number of annual passes purchased?

Answers

Answer:

3762.75 ÷ 43.25= 87 passes

.........

$3762.75/$43.25=87 passes

Please help.
Is algebra.

Answers

The answer for the system is, (2, 5)

y= 5, x= 2

Question 2 is a.

Question 3 is a.

The angle measure of angle LNM is __Degrees

Answers

Answer:

90 Degrees

Step-by-step explanation:

<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.

please help i’ll give brainless

Answers

Answer:

1. 12

2. 31

3. 37

4. 87

There was 7/16 of a pizza left over.Matt ate 2/7 of the leftover pizza.What fraction of the whole pizza did matt eat

Answers

Answer:

14/112

Step-by-step explanation:

7/16 x 2/7 = 14/112

Answer:

14/112 (7/56)

Step-by-step explanation:

Find the value of X.

Answers

Answer:

x=60

Step-by-step explanation:

Answer:

X - 60 is the answer

Hope thus is helpful

Mackenzie bought a Zonkey that was originally priced $750 but she bought it for $600. What was the percent discount of change? Round to the nearest tenth of a percent.

Answers

Answer:

20%

Step-by-step explanation:

Find the percent discount by dividing the difference in the costs by the original cost:

150 / 750

= 0.2

So, the percent discount was 20%

Can someone help me with question 20 pls

Answers

Answer:

6x^3-12x^2+3x-3

Step-by-step explanation:

Answer:

6x³ - 12x² + 3x - 3

Step-by-step explanation:

f(x)      -        g(x)

= (6x³ - 3x² + 4x - 4) - (9x² + x - 1)

= 6x³ - 3x² + 4x - 4 - 9x² - x + 1

= 6x³ - 3x² - 9x² + 4x - x - 4 + 1

= 6x³ - 12x² + 3x - 3  

The product of twice a number and three is the same as the difference of five times the number and 8/9

Answers

Answer:

-8/9

Step-by-step explanation:

Let the number = x

Expressing the problem Mathematically ;

2x * 3 = 5x - 8/9

6x = 5x - 8/9

6x - 5x = - 8/9

x = - 8/9

Hence, the number is - 8/9

Joy has already written 10 pages of a novel she plans to write 15 additional pages per week until she is finished write and solve a linear equation to find the total number of pages written at 6 weeks

Answers

Answer:

y=100 pages

Step-by-step explanation:

y=15x+10

y=15(6)+10

y= 90+10

y=100

The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12

Answers

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Heather purchased a new $1,500 laptop by using a credit card with a 17% interest rate. She will pay off the balance in 2 years by paying monthly payments of $74.16. Calculate Heather’s total cost of repayment.

Answers

12 months in a year

2 years

2x12=24

74.16x24=1779.84

Heather's total cost of repayment is $1,779.84.

What exactly is a monthly payment?

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Given,

Principal = $1,500

Rate = 17% per year (or 0.17 as a decimal)

Time = 2 years

Total interest = (principal × rate × time) / 12

Substitute the given values, and we get:

Total interest = (1500 × 0.17 × 2) / 12 = $51

So, Heather will pay a total of $51 in interest over the two years.

Total repayment = monthly payment × number of months

Here,

Monthly payment = $74.16

Number of months = 2 years × 12 months/year = 24 months

Substitute these values, and we get:

Total repayment = $74.16 × 24 = $1,779.84

Therefore, Heather's total cost of repayment is $1,779.84.

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ3

Q. Nol
Find the
radio of
35cm to 5m​

Answers

Answer:

7:100

Step-by-step explanation:

35cm= 35cm

5m = 500cm

ratio = 35:500

[tex]\frac{35}{500}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{7}{100}[/tex]

Ratio = 7:100

I hope im right!!

Laura has a bag of markers. In the bag there are:

7 red markers
5 blue markers
3 yellow markers
She pulls markers from the bag one at a time without putting any back into the bag. What is the probability that the first marker she pulls is yellow and the second marker is red?

Answers

Answer:

3/14

7/13

Step-by-step explanation:

. Given that ∆FUN ≅ ∆TEA, identify the congruent corresponding parts. < N ≅ < ___(name the letter)

Answers

Given:

[tex]\Delta FUN\cong \Delta TEA[/tex]

To find:

Identify the congruent corresponding parts of [tex]\angle N\cong \angle \_\_[/tex].

Solution:

We have,

[tex]\Delta FUN\cong \Delta TEA[/tex]

We know that corresponding parts of congruent triangles are congruent.

[tex]\angle F\cong \angle T[/tex]

[tex]\angle U\cong \angle E[/tex]

[tex]\angle N\cong \angle A[/tex]

Therefore, the required corresponding part is  [tex]\angle N\cong \angle A[/tex].

Expand 5(3 - 11x) good luck ​

Answers

It would be 15-55x because you would have to distribute the 5 to the whole term if 3-11x
15-55x should be your answer if you expand it

If anyone can help and could you put the work as well

Answers

Answer:

there ya go bud hope this helps

Below is the graph of y=bx. Find b.

Answers

Answer:

part 1 is 0.5 and the second part is options 2 and 4

Step-by-step explanation:

b= 0.5

-

b. The graph shows exponential decay

d. The graph shows y = 2^x reflected over the y-axis.

-

Step-by-step explanation: e 21

The area of a circle is approximately 706.86 sq cm. Find the RADIUS to the nearest whole number.​

Answers

Answer:

R=15

Step-by-step explanation:

706.86/3.14~225

The square root of 225 is 15

How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?

Answers

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

Other Questions
help QUICKLY please ill mark brainliest Question 1 (5 points) SavedListen(06.01 LC)A person in the audience of a talk show has a 15% chance of winning free movietickets. What is the chance that a person in the audience may not win free movietickets? (5 points)1) 85%2) 70%3) 35%O4) 30% You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house how tall does the ladder need to be? The endurance jump is working what muscle group?AbdominalsLegsBackArms Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag.How many more pounds does one of the heaviest bags weigh than one of the lightest bags?Enter your answer as a fraction in simplest form by filling in the boxes. Ok how do you be less dry when it comes to convos like what type of topics do you bring up to spice it What rights are included in the Miranda warning? at a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes the discounted price, in dollars, of the shirt. Which expression also describes the discounted price, in dollars, of the shirt?a) 0.4yb) 7 - 0.4c) y - 0.4yd) y - 40 The square of a number x is 16 more than six times the numberForm an equation in x and solve it. Jeff and his best friend, Steven go to different high schools. Theyve been friends since third grade, but since Jeff transferred to another school for 10th grade, theyve started to grow apart.One Saturday, Steven asked Jeff if he would drive him into the nearest city. He didnt have his license yet and said he thought it would be fun for them to hang out. Jeff felt uncomfortable saying yes because hed only had his license for six months and his parents told him he wasnt allowed to drive into the city yet. But, Steven said that he wouldnt be able to go without Jeffs help and they never got to see each other anymore. Jeff agreed and they left that afternoon after telling Jeffs parents they were driving to another friends house.When they got to the city, Steven asked Jeff to drive across town to a particular address. When they arrived, Steven asked Jeff to wait in the car while he ran inside for a few minutes. After Steven returned to the car Jeff asked what was going on and Steven pulled out a bag of white powder. He admitted it was his drug connection and that the powder was crystal meth. When Jeff asked him why he didnt tell him that was why they came to the city. Steven said he didnt tell him because he figured Jeff wouldnt go.That night Jeff couldnt sleep because he felt overwhelmed by what he had found out. He knew meth was no good and that Steven would continue using it with or without his help. He was angry that Steven had put him in the position of driving with an illegal substance, but even more importantly, he was worried about his friend.Jeff had promised Steven he wouldnt tell anyone about all this but it was driving him crazy. He had a teacher at school he really liked and trusted. He wanted to go to him and ask his advice. But what if the teacher decided to turn in his best friend? DISCUSSION QUESTIONS(also, debate topics, writing assignments, etc.)What do you think about what Steven asks of Jeff? Is it fair? What would you do if your friend asked you to do the same thing?What obstacles did Jeff face in telling Steven he would go to the city with him?Have you ever been in a position where you had trouble saying you didnt want to do something with a friend? What obstacles did you faCE Lyla is creating a powerpoint presentation about the social-conflict perspective on poverty. What perspective should she include in her presentation? To passive voice They asked me to join the gathering . HELP PLSSS !!Based on this data, what can be concluded about the impactseasonal changes have on these organisms around the Barents Sea?A. The availability of solar energy limits photosynthetic productivity in winter monthsB. Seasonal Changes have no impact on these organismsC. During winter months the Diatom and zooplankton population completely die off dueto the lack of sunlight.D. Due to the availability of solar energy, Diatom mass peaks in July. We must consider public education in the light of its full development and its present place in American life throughout the Nation.Why does the Supreme Court make this distinction? Will Give Brainliest if correct!Read the following passage:At the turn of the 20th century, German math teacher Wilhelm von Osten was trying to prove the intelligence of animals. He tried to teach a cat and a bear how to add, but couldnt do it. After years of training, he found a horse named Hans who could add, subtract, multiply and read German.What clue is given that might make you find this suspicious?He had not found another animal who could do this before.Horses cant add.He was a math teacher, not an animal trainer.It was only the 20th century, so animals werent that skilled yet. The capacity of working memory is about items. A-3B-11 C-30 D-20 E-7 When a government agency allocates, it means the agencyO adds up the sum total of its funds.O delegates who is going to perform certain tasks.O decides how things should be distributed.Ogives away its ideas and products. Construct triangle ABC such that AB = 8cm, BC = 6.5 cm and angle ABC = 80 degree. Measure and write down the length of AC. providedWhat is the value of 2 in the equation 60x = 360x When I think of a number and halve it, thenresult is 7. Form an equation and solve it to finsthe number that I thought of.