If cos A= 1/8 With A in QIV, find sec A/2
Show work

Answers

Answer 1

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means

cos(A/2) = - √((1 + cos(A))/2) = -3/4

so that

sec(A/2) = 1/cos(A/2) = -4/3.


Related Questions

1 The heights of 9 students of a class are as follows (in cm):
155, 160, 145, 150, 147, 152, 144 148
a. Find the average height of the students in this class.

Answers

You only listed 8 kids...so the average of the 8 kids listed is 150.125!
The process:
You add all kids heights then divide by the amount of children. Like this-
155+160+145+150+147+152+144+148=1201
Then you divide by 8 to get 150.125

3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000

Answers

Answer: C.) $70,000

Explanation:
Assets - Liabilities = Net worth
$145,000 - $75,000 = $70,000
It would be C

145,000- 75,000=70000

Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?

Answers

Answer:

3c + 43 >_ 100

Step-by-step explanation:

What is the sum of 7 of the interior angles of a regular decagon?

Answers

Answer:

The answer is 1008 degrees

Step-by-step explanation:

The sum of 7 of the interior angles of a regular decagon is 1008°.

What is interior angle of polygon?It is an angle inside a shape. All the interior angles in a regular polygon are equal.Formula to find the sum of interior angles of a polygon:

S = (n - 2) × 180°, where n is the number of sides of the regular polygon.

What is decagon?

"It is a polygon having ten sides, ten interior angles and ten vertices."

For given example,

We need to find the sum of 7 of the interior angles of a regular decagon.

Number of sides of decagon (n) = 10

Using the formula of sum of interior angles,

⇒ S = (n - 2) × 180°

⇒ S = (10 - 2) × 180°

⇒ S = 1440°

This means the sum of all interior angles of a regular decagon is  1440°.

We know, there are 10 interior angles of regular decagon.

Let  'x' represents the measure of each interior angle of a regular decagon.

⇒ 10x = 1440°

⇒ x = 1440/10

⇒ x = 144°

This means, the interior angle of a regular decagon measures 144°

So, the sum of 7 of the interior angles would be,

7 × 144° = 1008°

Therefore, the sum of 7 of the interior angles of a regular decagon is 1008°.

Learn more about the interior angles of a regular decagon here:

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What is the answer to this question

Answers

Answer:

49

Step-by-step explanation:

because, A right angle has an angle of 90° degree

so, 41+49

= 90

hence, proved.

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!​

Answers

angle c=180-44-62=74 degrees

angle d=angle c=74 degrees

angle f=180-74-50=56 degrees

hope it helps:))

Answer:

C) 74°

D) 74°

F) 56°

Step-by-step explanation:

I assume you’re supposed to find the other three angle measurements.

C) 180-44-62=74

D) 74

F) 180-74-50=56

HELP PLEASE QUICKLY!!!!!!!!! NO LINKS

Answers

Answer:

80mi

Step-by-step explanation:

65+0.70m <121

0.70m< 56

m<80

A crate contains 100,000 sheets of paper.
If the crate has a mass of 357,100 gm, what is the mass of
a single sheet of paper?

Answers

Answer:

3.571 g

Step-by-step explanation:

357,100 / 100,000 = 3.571

Answer:

3.571g

Step-by-step explanation:

357100 grams / 100000 sheets of paper = 3.571g per sheet of paper

Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)

Answers

Answer:

317.21 (sales price)

259.53 (discount amount)

Step-by-step explanation:

First, we need to divide.

576.75/100=5.7675 (note that I will be rounding at the end)

5.7675 x 55 (100-45) = 317.2125

Rounds to: 317.21

Now, we need to find the discount amount.

 576.75

-317.21

=259.53

Which function shows the function f(x) = 3^x being
translated 5 units to the left?
A. f(x) = 3^x – 5
B. f(x) = 3^(x+5)
C. f(x) = 3^(x - 5)
D. f(x) = 3^x + 5

Answers

Answer:

B.

Step-by-step explanation:

When you want to move a function on a graph from left to right, you "move" the x, and when moving the x; it's the opposite. So, C would move the function 5 units to the right because it is subtracting.

The correct option will be f(x) = 3^(x - 5)

What is translation?

A translation is a transformation that moves every point in a figure the same distance in the same direction.

Given that, the function f(x) = 3ˣ, being translated 5 units to the left.

Since, the function is being translated in left, therefore, we subtract 5 from x,

i.e. f(x) = 3⁽ˣ⁻⁵⁾

Hence, f(x) = 3⁽ˣ⁻⁵⁾ is the function shows the function f(x) = 3ˣ being

translated 5 units to the left.

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29 over 11 as a decimal

Answers

Answer:

29/11 = 2 7/11

Step-by-step explanation:

Hope that this helps you out! :)  

If you have any questions please put them in the comment section below this answer.  

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Answer:

2.636

The 63 keeps repeating itself so you can add a line above the 63 instead.

find the missing side of each triangle

Answers

12 i think!! i hope this helped

What is the volume of a rectangular
water tank which is 8 metres long, 4
metres wide and 3 metres high.​

Answers

Answer:

3x-x+2=4

Step-by-step explanation:

Question 7 of 8
Calculate the amount of interest earned on a $7,500 investment made for 2 years at
5.5% p.a..

Answers

Answer:

$825

Step-by-step explanation:

Formula we use:

I = Prt

Given:

P = 7500

r = 5.5% or 0.055

t = 2

Work:

I = Prt

I = 7500(0.055)(2)

I = 412.5(2)

I = 825

HELP ME PLEASE IT WOULD BE NICE

Answers

Answer:

90 degre i cant wright the small o thing but is 90

Step-by-step explanation:

If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?

Answers

Answer:

628.32 m

Step-by-step explanation:

C = πd

C = π*(100m)

C = 314.16 m

Total Distance = 2*C

2*C = 628.32 m

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02

Answers

Answer:

A sample of 2084 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In an earlier study, the population proportion was estimated to be 0.19.

This means that [tex]\pi = 0.19[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?

This is n for which M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]

[tex]n = 2083.4[/tex]

Rounding up:

A sample of 2084 is needed.

solve the system by substitution.......

Answers

Answer:

x=3

y=15

Step-by-step explanation:

y=5x

y=-4x+27

5x=-4x+27

+4x +4x

9x=27

/9 /9

x=3

y=5x

y=5(3)

y=15

a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?

what is the answer in miles ??

PLEASE HELP ME !!!!

Answers

Answer:

450 miles

Step-by-step explanation:

First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.

From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.

Step-by-step explanation:

[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]

please help with this problem

Answers

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation?

Answers

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

please help me i will give u brainliest if it is CORRECT

Answers

25% is the answer cause there are 4 part 100% of 4 is 25% for each
50 percent, 2 of the numbers are even numbers and there are 4 numbers in all

What is the height of the tree?

Answers

Answer:

24 feet tall

Step-by-step explanation:

First you divide 6 by 10 and then you get 0.6, you then multiply 0.6 by 40 and you get 24.

please help i will give brainliest.

Answers

Answer:

754 ft²

Step-by-step explanation:

Given

d = 24 fth = 4 ft

Required amount of vinyl:

πdh + πd²/4 =3.14*24*4 + 3.14*24²/4 = 754 ft² (rounded)

For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value.
In the first case answer IND, in the second case enter the numerical value, and in the third case answer DNE.
For example:
IND: 0/0
0: 0/1
DNE: 1/0
Note that Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. 1/-[infinity]
2. 0 - [infinity]
3. 0[infinity]
4. [infinity][infinity]
5. 0−[infinity]
6. [infinity]−[infinity]
7. [infinity]−e
8. 1[infinity]
9. π−[infinity]
10. π[infinity]
11. 1 −[infinity]
12. [infinity]1
13. [infinity]−[infinity]
14. 0/[infinity]
15. [infinity]0
16. 00
17. 10
18. 1 - [infinity]
19. [infinity]/0
20. inf - inf

Answers

Step-by-step explanation:

1. 1/-[infinity] = 0

2. 0 - [infinity] = -∞

3. 0[infinity] = 0

4. [infinity][infinity] = IND

5. 0−[infinity] = -∞

6. [infinity]−[infinity] = ∞

7. [infinity]−e = ∞

8. 1[infinity] = ∞

9. π−[infinity] = -∞

10. π[infinity] = ∞

11. 1 −[infinity] = -∞

12. [infinity]1 = ∞

13. [infinity]−[infinity] = ∞

14. 0/[infinity] = IND

15. [infinity]0 = 0

16. 00 = 0

17. 10 = 10

18. 1 - [infinity] = -∞

19. [infinity]/0 = DNE

20. inf - inf = ∞

Can someone help me find the answer and write a step by step explanation?

Answers

Answer: I got 144cm I'm not sure if its right though

Step-by-step explanation:

I did 12x6=72 then I did 72+72=144

i need help now please

Answers

Answer:

12

Step-by-step explanation:

A = ½(b1 + b2)h

A = (3 + 5)(3)/2

A = 12

Hi can I get a thanks I’m also sure A=12!!!!!

Mathematical Literacy , What does a basic fee mean?​

Answers

Answer:

Basic Fee means the compensation provided to Construction Manager for providing Basic Services. + New List. Basic Fee means the compensation provided to Pre-Construction Contractor for providing Basic Services.Step-by-step explanation:

The initial value of a product or service which calls for a fee. Typically this will be understood as the y-intercept in a linear equation.

Priya can bike 150 meters in 20 seconds. At this rate, how long would it take her to bike 3,000 meters? Complete the table to help determine the number of seconds.

Answers

Answer:

400 seconds

Step-by-step explanation:

150/20 m/s

vt = d

t=d/v

t = 3000m / (150/20m/s)

t = 400 sec

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The price of an item has dropped to$63 today.Yesterday it was $140.find the percentage decrease

Answers

Answer:

55% drop.

Step-by-step explanation:

To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.

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