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

6x = 72

one step equation​

Answers

Answer:

Hi! The answer to your question is x = 12

Step-by-step explanation:

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- Brooklynn Deka

quare cm
Read the following problems. Sketch each shape and label it.
Then, answer the questions, showing your work below each questions
(Gehad drew a square that has side lengths of 8 cm.
o
SU
The Perimeter =
The Area =

...
X​

Answers

P=32cm
A= 64cm^2

Step by Step

Formula(Perimeter): P=s+s+s+s
S=side P=perimeter
P=8*4
P=32

Formula(Area for Square): A=s^2
A=Area s=side
A=8^2
A=84

f(x) = 3x + 5 g(x) = 4x2 – 2 h(x) = x2 – 3x + 1 Find f(x) – g(x) – h(x)​

Answers

Step-by-step explanation:

this is the answer

hope it helped!!!

Which object is located at the point (4.3)

A. Star

B. Circle

C. Triangle

D. Rectangle

Which one is it help me pls

Answers

the answer would be star
Answer: star


epic moment

Find the limit when X approaches zero
2xsinx/1-cosx

Answers

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

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

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0

Answers

Answer:

is this quadratic equation

Please I need the answer ASAP

Answers

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Find the total area of the polygon shape shown below. All measurements are given in inches. Enter only the number. The total area is blank square inches.

Answers

The total area is 45 square inches.

Area of Compound Shapes

This question requires your knowledge about the area of compound shapes. For solving this, you should:

Identify the basic shapes;Calculate your individual areas; Sum each area found.

      STEP 1 - Identify the basic shapes.

The figure is composed of:

two squares whose sides are equal  to  3 in. 1 rectangle whose sides are: 9 in and 3 in

Therefore, you should sum the area of these geometric figures for determining the given  area.

   STEP 2 - Find the area of the squares.

Area of each square =  a², where a=the length of the side.

Like, the length of the side is equal to 3 in, the area will be:

A_square= 3²=9 in².

You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²

      STEP 3 - Find the area of the rectangle.

Area of the rectangle = bh . The figure shows that:  the base = 9 in and the 3=8 in

Thus,  A_rectangle=bh= 9*3=27in²

      STEP 4 - Find an expression for the total area of the figure.

A_total= A_squares+ A_rectangle

A_total= 18+27=45 in²

A_total= 45in²

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Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)

Answers

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
120%
AT
>C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

Solution given:

x+120°=180°[linear pair][supplementary]

x=180°-120=60°

x=60° is your answer

5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°

Answers

Answer:

x=34.5

Step-by-step explanation:

(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:

3x+18+93=`80

2x=180-111

x=69/2

x=34.5

A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Ahmad took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.
The total interest he paid on the loan was $245.
How much money did Ahmad borrow?

Answers

Answer:

$488778

Step-by-step explanation:

For a for interest is;

i = PRT/100

Where;

R is rate

P is Principal

T is time

i is interest

We are given;

R = 12.5% = 0.125.

T = 146 days = (146/364) = 0.4011

i = $245

Thus;

245 = (P × 0.125 × 0.4011)/100

Thus;

P = (245 × 100)/(O.125 × 0.401)

P = $488778

Please help me giving brainliest

Answers

Answer:

42cm^2

3x2=6x7=42

Step-by-step explanation:

Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store

Answers

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5

The ___ is the ratio of a length of the new figure to the corresponding length on the original figure

Answers

Answer:
scale factor

Explanation:
The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.

Steve opens a jewelry shop and makes $16.00 profit for each piece of jewelry sold.The amount Steve makes is given f(x)=16x,where x is the number of pieces of jewelry sold.

Answers

Answer:

16pieces

Step-by-step explanation:

We can find the number of pieces is the amount steve make is $256

If steve makes $256, then f(x) = 256

Substitute into the formula and find x

256 = 16x

Swap

16x = 256

Divide both sides by 16

16x/16 = 256/16

x = 16

Hence the number of jewelry sold is 16pieces

what is more 2 liters or 2 deciliters​

Answers

Answer:

2 liters.

Step-by-step explanation:

These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.

Hope this helps!!<333

Answer:

a liter is 10 times larger than a deciliter, so yes, it is more.

Again I don’t know this . Plz help me

Answers

Answer:

y-2=0(x-3)

Step-by-step explanation:

Find the length of VW.

Answers

Answer:

1.8

Step-by-step explanation:

it is on the diagram

1.8 the because of the length

Which expression is equivalent to root 36/25

Answers

Answer:

6/5

Step-by-step explanation:

√36/25 =6/5

because root 36 is 6 and root 25 is 5.

The equivalent expression is 6/5

Bob took out a 5 year loan for $4000 and paid 3% annual simple interest

Bill took out a 4 year loan for $4000 and paid 5% annual simple interest

What is the sum of amounts of interest bob and bill paid for their loans

Answers

Bob ended up paying an extra 600 in interest over the 5 years for a total of 4600
Bill ended up paying 800 in interest for 4 years for a total of 4800

f(x)=ax^2bx+c
determine the y-intercept and zeros​

Answers

Answer:

The y intercept is c

The zeroes are the quadratic formula.

Step-by-step explanation:

Let x=0.

[tex]a(0) {}^{2} + b(0) + c[/tex]

[tex]0 + 0 + c[/tex]

[tex]c[/tex]

The y intercept is c

To find the zeroes,

This gonna to take a minute so the answer to the problem is the quadratic formula.

INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?​

Answers

Answer

A. 43.96in?

Step_by_step explanation

Reduce 65 in ratio 5:2

Answers

Answer: [tex]46.42:18.57[/tex]

Step-by-step explanation:

[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

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A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.

Answers

Answer:

U can divide or multiply

Step-by-step explanation:

CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST

Answers

Answer:

answer is c

Step-by-step explanation:

Answer:

c. 586.2

Step-by-step explanation:

add all areas together:

127.2 for semi circle on right

22x18=396 for middle square

7*9=36 for 2 triangles on left

Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT

Answers

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

What is Volume?

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

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I need help with this

Answers

1/3(1/2)8(6)(10)=80

Your welcome

Which net represents this solid figure?



Rectangular prism 5.






Net of a rectangular prism 10.




Net of a cube 4.




Net of a rectangular prism 9.




Net of a triangular prism 10.

Answers

Answer:

Net of rectangular prism 9

Step-by-step explanation:

I took the test

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