V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4

V 153Given Tan A= - And That Angle A Is In Quadrant IV, Find The Exact Value Ofsec A In Simplest Radical

Answers

Answer 1

The secant of the angle A is 13/4

How to determine the value of sec(A)?

The given parameter is:

[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]

Using the trigonometry identity, we have:

[tex]\sec^2(A) = \tan^2(A) + 1[/tex]

This gives

[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]

Evaluate the exponent

[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]

Evaluate the sum

[tex]\sec^2(A) = \frac{169}{16}[/tex]

Take the square root of both sides

[tex]\sec(A) = \pm \frac{13}{4}[/tex]

Secant in quadrant IV is positive.

So, we have:

[tex]\sec(A) = \frac{13}{4}[/tex]

Hence, the secant of angle A is 13/4

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

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Related Questions

Please help me ASAP please

Answers

Answer:

The total money you pay is dependentThe time is independent

Step-by-step explanation:

First lets lay out our vocabulary

Dependent is the variable that relies on the other variable

Independent is the variable that can change however it can unlike the dependent

Since you HAVE to know the time to get the money, the time is independent.

The amount of time affects the total money as it goes up

Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax

Answers

Answer:

[tex]105(.15)+x=170[/tex]

Hope this helps, have an amazing day!

Answer:

144.50 so he got 25.50 Dollars off

In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?

Answers

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

Can someone help me please

Answers

Answer:

Wassup what do you need help with

Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!

Answers

B hhshshdhehehhehehdhdbdbdbbdbdbddu

Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3

Answers

Answer:

So happy you are with brainly

Step-by-step explanation:

34

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

exponent

Step-by-step explanation:

Answer:

power or exponent it can be both, but being specific here, choose exponent

Step-by-step explanation:

i studied this concept trust me

What is the value of z for the equation 2 -- +22?
O
-3
O-1
0 1
3

Answers

Answer:-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

what is the answer to this?​

Answers

yes yes yes. yes yes yes

.....................................

Answers

Answer:

Step-by-step explanation:

The slope of the line is 4/3.

The value of y when x = 0 is -7.

Equation of line:

y = (4/3)x - 7

pls help me find the missing dimension

Answers

Answer:

4

Step-by-step explanation:

2 times 3 times ?

=4

What is the perimeter of the trapezoid?

Answers

The formula is adding up all the sides like a+b+c+d= perimeter

Answer:

we all know that perimeter is the total distance around us.so the perimeter of a trapezoid is the sum of the lengths of its four sides.if one side is missing use the pythagoras theory.

Step-by-step explanation:

if am wrong please tell me right away

Solve the system of equations by graphing

Answers

Answer:

Here's a graph to help you solve this answer:

"Petra is making donuts by stamping circles in dough using a pastry stamp with a radius of 1.5 inches. For the donut hole, she stamps out a circle of dough using a pastry stamp with a radius of 0.5 inches." What is the area of the donut hole? Use 3.14 for . *

Answers

Answer:

6.28

Step-by-step explanation:

[tex](3.14)(1.5) {}^{2} = 7.065 [/tex]

[tex](3.14)(0.5) {}^{2} = 0.785[/tex]

[tex]7.065 - 0.785 = 6.28[/tex]

plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help

Answers

Answer:

                                           

Step-by-step explanation:

1.) Write a quadratic rule that represents the table below in standard form.
- 7
x
у
-6
-5
0
-5
-8
4
-9
-3
-8
-2
-5
-1
0
0
7
1
16
2.
27

Answers

Step-by-step explanation:

1st quadrant is(+,+)

2nd quadrant is(+,-)

3rd quadrant is (-,-)

4th quadrant is (-,+)

Please help i need a four letter code in ALL CAPS!

Answers

Answer:

LRIW

Step-by-step explanation:

I hope this is what you were looking for

10.) A book that normally cost $5.50
is marked up by 40%. What is the
selling price of the book?

Answers

Answer:

the answer is seven point seven

Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.

Answers

9514 1404 393

Answer:

P'(-4, 3)Q'(-8, 4)R'(-7, -1)

Step-by-step explanation:

Reflection over the line x=a is accomplished by the transformation ...

  (x, y) ⇒ (2a -x, y)

For 'a' = -3, this becomes ...

  (x, y) ⇒ (-6 -x, y)

  P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)

  Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)

  R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)

if x =31 and z=27 then what is the value of y?

Answers

Answer: y = 89

Step-by-step explanation:

[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]

you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly​

Answers

Answer:

The balance after 4 years would be $1,380.05.

Step-by-step explanation:

Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:

1,200 x (1 + 0.035 / 12) ^ 4x12 = X

1,200 x 1.00291666 ^ 48 = X

1,380.05 = X

Therefore, the balance after 4 years would be $1,380.05.

Answer:

The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$

What is the distance between (−5,−6) and (−3,−8)?
Choose 1 answer:

(Choice A)
2
(Choice B)
4
(Choice C)
the square root of 4
(Choice D)
the square root of 8

Answers

It has a slope of -2/2 meaning it goes down and over 2. So the antis A

What is the approximate volume of the cone? Use 3.14 for π.
Round to the nearest tenth. NO LINKS pls help <3

Answers

Answer:

About 131.95 (you may have to round up)

Step-by-step explanation:

Volume of a cone = pi(r^2)(h/3)

= pi(3^2)(14/3)

= pi(9)(4 & 4/5)

= pi(43.2)

If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

Answers

9514 1404 393

Answer:

  7.7 seconds

Step-by-step explanation:

The solution is given by the quadratic formula.

For ax² +bx +c = 0, the roots are ...

  x = (-b±√(b²-4ac))/(2a)

We want the positive root, so ...

  x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658

The rocket will hit the ground about 7.7 seconds after it is launched.

A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18

Answers

Answer: you'll have 87 seats in the 18th row

Step-by-step explanation:

an = a1+(n-1)d

a18= 36+(18-1)3

a18= 36+51

a18= 87

The 18th row will have 87 seats.

What is arithmetic progression?

'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'

According to the given problem,

Number of seats in row 1 = 36

Number of seats in row 2 = 39

Number of seats in 3rd row = 42

Difference between the numbers ( d ) = 39 -36

                                                               = 3

We know, according to the formula of Arithmetic Progression,

[tex]a_{n} = a_{1} + (n-1)d[/tex]

We need to find for the 18th row,

[tex]a_{1}[/tex] = 36

d = 3

n = 18

⇒ [tex]a_{18}[/tex] =  36 + ( 18 - 1 )×3

⇒ [tex]a_{18}[/tex] = 36 + 51

⇒  [tex]a_{18}[/tex] = 87

Hence, we can conclude, there will be 87 seats in the 18th row.

Learn more about arithmetic progression here: https://brainly.com/question/13989292

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The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?

Answers

Answer:

B

Step-by-step explanation:

Answer: It’s C

Step-by-step explanation:

A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and
7 blue marbles. You draw one marble from the bag. Select ALL FALSE statements.

1.) The probability of drawing a red marble is 33%

2.) The probability of drawing a green marble is 1/9.

3.) The probability of drawing a blue marble is twice as much as the probability of
drawing a green marble.

4.) It is more likely to choose a red marble than a green marble.

Answers

Answer:2 and 3

Step-by-step explanation:

They just aren't correct im not sure how to explain

Help! Jeez these are hard.

Answers

Answer:

option 2

Step-by-step explanation:

a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right

Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet

Answers

Answer:

4ft

Step-by-step explanation:

Answer: 77ft

Step-by-step explanation:

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