given that sectheta - tantheta =1/4, find sectheta + tantheta​

Answers

Answer 1

Answer:

4

Step-by-step explanation:

{sec(θ) - tan(θ) = 1/4, sec(θ) + tan(θ)} = tan(θ) + sec(θ) = 4

use subsitution


Related Questions

During an experiment, the temperature of a solution changes from 9 4/5°F to 17 1/4°F.

What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.

I NEED HELP ASAP
50 points will mark brainlest

Answers

Answer:

15% per second

Step-by-step explanation:

If you subtract 9 from 17 you get 16 subtract one from that and you get 15.

Minutes (m)
Words (w)
Use the relationship between quantities to calculate the
missing values in the table.
1
250
A=
B=
2
500
3
A
4
1,000
5
B
NEED HELP

Answers

Step-by-step explanation:

as the first 2 lines show us : there is a linear relationship between minutes and words.

1 minute correlates to 250 words.

2 minutes correlate to 500 = 2×250 words.

so, we see, every minute represents 250 words.

therefore, 3 minutes (A) correlate to 3×250 = 750 words.

and 5 minutes (B) correlate to 5×250 = 1250 words.

C. Determine if the statement suggests undefined term, defined term, axlom/postulate, theorem.

_____1.Money can't buy happiness.
_____2. Things that coincide with one another are equal to one another.
_____3. Collinear points are points on the same line.
_____4. The sum of the measures of the 3 interior angles of a triangle is 180°.
_____5. Margie supports her answer with a statement that includes ideas about planes. _____6. O is a natural number.
_____7. In his two-column proof, he was able to prove that the statement is true.
_____8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. _____9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.
_____10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. ​

Answers

The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.

What are postulates?

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

Undefined Terms refers to those terms which usually do not require any formal definition.

1. Money can't buy happiness. undefined term

2. Things that coincide with one another are equal to one another. Postulates

3. Collinear points are points on the same line. Postulates

4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem

5. Margie supports her answer with a statement that includes ideas about planes. undefined term

6. O is a natural number. defined term

7. In his two-column proof, he was able to prove that the statement is true. defined term

8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term

9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate

10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. ​ postulate

Learn more about Undefined Terms here:-

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[tex]-1/4 +3/4a= -(-7/4a-1)[/tex]

Answers

[tex]-\frac{1}{4}+\frac{3}{4}a=-\left(-\frac{7}{4}a-1 \right)[/tex]

Multiplying both sides by 4,

[tex]-1+3a=-(-7a-4)\\\\-1+3a=7a+4\\\\-1=4a+4\\\\-5=4a\\ \\ a=\boxed{-1.25}[/tex]

TRUE OR FALSE
1.The rule applied in equation a2 + a5 = a7 is product rule
2.The product of a and a is 2a.
3.To solve the expression (2a)3, product rule should be applied?
4.The product of -3 and 9x is -27x
5.We can NOT multiply polynomials if the terms are not similar.
6.We can multiply polynomials even if the terms are not similar.
7.The product of 5x and (2x +2) has two terms.
8.In sovling the expression 4x(2x + 2), using power rule is the first step.
9.The product of -2a and -10a9 is -20a10
10.To solve the expression (3a3)9, power rule should be applied.

Answers

1. True

2. False

3. False

4. True

5. False

6. True

7. True

8. False

9. True

10. True



What is the surface area?
5 ft
7 ft
7 ft
square feet

Answers

Answer:

238 square feet

Step-by-step explanation:

Answer:

245 square feet.

Step-by-step explanation:

7 times 7 is 49

49 times 5 because there is 5 feet

= 245

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-1,8) and (-8,6)​

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

distance = [tex]\sqrt{((-1)-(-8))^2+(8-6)^2}=\sqrt{49+4}=\sqrt{53}[/tex]

HELP IM DESPRITE
Which statements represent the inequality 75+10x≥350 written as a real-world problem?

Select each correct answer.


Oliver can spend no more than $350 at the store on a school supplies. The tablet is $75 and each book costs $10. How many books can Oliver buy?

Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?

Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?

Zoe earns $10 per hour babysitting. She has saved $75. How many hours of babysitting will she need to save at most $350?

Answers

The statements that describe the given inequality are as follows:

Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?

What is the inequality and it's meaning?

The inequality is given by:

[tex]10x + 75 \geq 350[/tex]

It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.

Hence, the 2nd and the 3rd options are correct.

More can be learned about inequalities at https://brainly.com/question/25235995

wath? is 300-100 do it good

Answers

Answer:

it's 200

Step-by-step explanation:

that's it's thats the anwrt

Answer:

200

Step-by-step explanation:

[tex]300 - 100[/tex]

[tex]subtract ~the~ hundreds~ digit, 3 ~minus ~1, ~which ~ is ~ 2[/tex][tex]subtract ~the~ tens~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]

[tex]subtract ~the~ units~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]

[tex]put~it~back~into~its~place~value[/tex]

[tex]300~minus~100~is~ 2 ~0~ 0, 200[/tex]

What is 5 1/2 +2 1/7 due in one hour help please

Answers

Answer:

7 9/14

Step-by-step explanation:

1/2=7/14

1/7=2/14

7/14+2/14=9/14

5+2=7

Answer:

7.64285714286

Step-by-step explanation:

You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.

If 2sin theta = √3, (0° < theta <90° ), then find the value of theta

Answers

[tex]2sin(\theta )+\sqrt{3}=0\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}\left[ sin(\theta ) \right]=sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right) \implies \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta \begin{cases} \stackrel{III~Quadrant}{\frac{4\pi }{3}}\\\\ \stackrel{IV~Quadrant}{\frac{5\pi }{3}} \end{cases}[/tex]

check your Unit Circle.

A. 74
B. 57
C. 50
D. 124
find the value of x

Answers

It is -aaaaaaaaaaaaaaaaaaaaaaaaaaa

The value of x for the given circle will be going to be 50°.

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In another meaning, a circle is a geometrical figure whose shape is just like round wheel.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Angles of Intersecting Chords Theorem;

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

So angle x = (60° + 40°)/2  = 50° hence it will be correct answer.

To learn more about the circle,

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Simplify.

7-^8 x 7-^4

A. 1/7^4

B. 7^12

C. 1/7^12

D. 7^32




Answers

Answer:

C

Step-by-step explanation:

7^-8 x 7^-4 = 7^(-8-4) = 7^(-12) = (1/7)^12 = 1/7^12

Why is studying economics valuable?

Answers

No matter what the future holds, an economics major helps people succeed. Understanding how decisions are made, how markets work, how rules affect outcomes, and how economic forces drive social systems will equip people to make better decisions and solve more problems. This translates to success in work and in life.

Need Help now plzzz I´m stuck

Answers

Answer:

the answer is 908. You need to compare the sides.

16 in x 20 in= 320 in

42in x 14 in = 588

all together it's 908

Answer:

I think the answer is 1108

Step-by-step explanation:

Area1 = 26in × 20in =520^2

Area2 = 42in × 14in =588in^2

total area = 1108in^2

Which combined inequality has the same solution set shown in the graph of x?

Answers

Answer:

C. - 3 < x ≤ - 1

Step-by-step explanation:

The graph is showing the interval between - 3 and - 1, the first point has open circle but the second one has closed circle.

The solution is:

- 3 < x ≤ - 1

Correct choice is C

2. Which equation demonstrates the identity property of multiplication?
5/5 x 8 =
1/5x 8 =
3/5x 8 =
5/1 x 8 =​

Answers

Answer

5/5 x 8 =

Step-by-step explanation:

a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by

Find the x - and y -intercepts of the graph of the linear equation -x+8y=4 .

The x -intercept is
.

The y -intercept is
.

Answers

Answer:

the x -intercept is

Step-by-step explanation:

-x+8y=4

Answer:
-4
1/2

Hope this helps (:

Johnny bought an oil painting originally priced at $80 but on sale for 50% off. After 10% sales tax, what was the total cost?

Answers

Answer:

Step-by-step explanation:

A sales tax is never applied until money actually changes hands.

So you need to start by taking 50% off.

50% 0f 80 dollars = 50/100 * 80 = 4000/100 = 40

So the cost of the painting = 80 - 40 = 40

Now apply the sales tax

10% of 40 dollars = 10/100 * 40 = 400/100 = 4

The total cost = 40 + 4 = 44 dollars

Why is 45 minutes
equal to 3/4 of an hour?

Answers

1 hour = 60 minutes

45 min = (45 min)/(60 min) = 45/60 = 3/4 of an hour.

To go from 45/60 to 3/4, I divided both top and bottom by the GCF 15.

Answer:

45 minutes equal to 3/4 of an hour because, if you convert the one hour into minutes (60 minutes) it is divisible by 15 four times.

3 · 15 = 45.

How many kilograms are in 14,500 grams?

Answers

Answer: 14.5

Step-by-step explanation: there is 1000 g in a kg

circle the expressions that give the same product as 5 x 3/7

Answers

The product of expressions is gotten by multiplying the expressions

The expression that give the same product as 5 * 3/7 is 3 * 5/7

How to determine the product

The product expression is given as:

5 * 3/7

Evaluate the product

5 * 3/7 = 15/7

Express 15 as the product of 3 and 5.

So, we have:

5 * 3/7 = 3 * 5/7

Hence, the expression that give the same product as 5 * 3/7 is 3 * 5/7

Read more about product at:

https://brainly.com/question/10873737

The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

a 5 inches

b 6.7 inches

c 7.8 inches

d 61 inches

Rodney chose b as the correct answer. how did he get that answer

Answers

Answer: C

Step-by-step explanation:

We can use the 3D pythagorean theorem.

This gives us sqrt(3^2 + 4^2 + 6^2) = sqrt(61), which is about 7.8

As to how he got B, I don't know.


Zoey drives her car 60 miles per hour on the highway. Write an
equation that relates her distance traveled (d) to the time elapsed (t).

Answers

Answer d=t*v

Step-by-step explanation: the distance is the time spent times 60 miles per hour.

whats a quarter of 31.06?
whats half of 31.06?

Answers

Answer:

A quarter of 31.06 is 7.65

A half of 31.06 is 15.53

Step-by-step explanation:

multiply 31.06 by 1/4 =7.765

multiply 31.06 by 1/2 =15.53

The table below shows the amount of money that Samantha has in her retirement account during the months of January and February.

January February
$29,000 $28,000

What could happen in March to make the net change in her account $0 from January to March?
A.
She withdraws $1,000 from her retirement account.

B.
Her retirement account value decreases by $1,000.

C.
She gets a loan of $1,000 from her retirement account.

D.
Her company puts a $1,000 bonus into her retirement account.

Answers

Answer:

D. Her company puts a $1,000 bonus into her retirement account.

Step-by-step explanation:

Since the amount in the retirement account has decreased in February, she needs the increase by same amount, $1000 to make it same as in January.

It is possible by adding $1000, which is the Option D, all other options end up with $1000 less than in February.

please helpppp btw not sure if the letter clicked is right or not it just won’t let me un select lol

Answers

Is wrong please
Answer is (a) 2

Proof
f(x)=(x^2) + 1.


g(x) = x + 2

f[g(-1)]

First considering g(-1)

g(-1)=(-1) + 2 = 1

f[g(-1)] = f(1)

=(1^2) + 1

=1+1=2

Hence f[g(-1)]=2

given the point (0,7) determine the points that are symmetric to this point with respect to the axis, and the origin respectively.

Answers

1. Observe Problem

It can be flipped on the x axis and y axis

so, Flipped on the x axis, it becomes:

(0,-7)

So, flipped on the y axis, it becomes:

(0,7)

Which is the same thing

Terry walks 1/4 mile each morning
and 2/4 mile each afternoon. How far does Terry walk in 3 days? Draw bar diagrams and write equations to solve
the problem

Answers

Answer:

1 1/2

Step-by-step explanation:

To solve this problem, we need to find how many miles Terry walks in one day. Then, we can multiply by 3 to find how far she walks in three days.

One day |

We need to add how much she walks in both the morning and afternoon. 1/4 + 2/4 = 3/4 miles.

Three days |

Now that we know how much Terry walks in one day, we need to find how much she walks in three days. Multiple by 3 to solve this.

3/4 * 3 = 6/4 = 3/2

You can write 3/2 as an improper fraction: 1 1/2.

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

I hope this was helpful! Have a good day!

What is the value of 0.5^2 + (3/5)^2
please say the answer quickly

Answers

Answer:

0.61

Step-by-step explanation:

(5/10)^2+(3/5)^2

(25/100)+(9/25)

25/100 + 9*4/25*4

25/100 + 36/100

61/100

0.61

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