what is the value of sin teta if sec teta =-9/4 and teta is in the second quadrant ​

Answers

Answer 1

Answer:

Sin θ = √65/9

Step-by-step explanation:

Sec θ = -9/4

Sec θ = hypotenuse/base

So, hyp = 9, base = -4

Using Pythagorean Theorem to find perp

81 = 16 + P²

P² = √65

Now

Sin θ = Perp/Hyp

Sin θ = √65/9

Answer 2

Answer:

sin θ = [tex]\frac{\sqrt{65} }{9}[/tex].

Step-by-step explanation:

Remember that:

sec θ is the reciprocal of cos θ. Therefore:

cos θ = -4/9.

From this, we can derive that:

Adjacent side = -4.

Hypotenuse = 9

Use the Pythagorean Theorem to solve for the 'Opposite' side:

9² = (-4)² + b²

81 = 16 + b²

65 = b²

b = √65

sin θ = O/H, so:

sin θ = [tex]\frac{\sqrt{65} }{9}[/tex]


Related Questions

A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])

Answers

Answer: The midpoint is (1,0)

Step-by-step explanation:

Point B  has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of  the x and y coordinates.

x coordinates.  [tex]\frac{-1+3}{2}[/tex] =  [tex]\frac{2}{2}[/tex] = 1  

y coordinates .   [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  

Midpoint: (1,0)

7x+8y=−46 2y − 6=0 What is the solution (x,y) to the system of equations above?

Answers

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in y

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM

Answers

You combine them by variables and exponents .

Answer:

you combine like terms by adding them up

Step-by-step explanation:

Any answers plz and thank you​

Answers

Answer:

x = 19

Step-by-step explanation:

Since CD = DE then Δ CDE is isosceles and the base angles are congruent.

∠ DCE = ∠ DEC = 38° , thus

∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°

The consecutive angles of a parallelogram are supplementary, thus

∠ BAE + ∠ CDE = 180, that is

4x + 104 = 180 ( subtract 104 from both sides )

4x = 76 ( divide both sides by 4 )

x = 19

Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.

Answers

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2  and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50

find the value of x and z
please give correct answers
it's urgent​

Answers

Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

if y= -6 when x= -2 find y when x= 5

Answers

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

To play in the children's area at McDonald's, a child must be shorter than 47 inches tall. A mother with eight children knows that all eight of her children can play at McDonald's after checking to see that her tallest child is shorter than 47 inches .

Answers

I don’t think this question is complete...I can answer if u comment the complete question :)

Someone help please

Answers

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).




According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?

Answers

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  [tex]\frac{45-52}{7}[/tex]  = -1

   For 59 minutes, z-score is =  [tex]\frac{59-52}{7}[/tex]  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

Can somebody help me with this ?? :)

Answers

Answer:

B.

Step-by-step explanation:

B.

This answer does not prove anything.

the correct answer is b!

Use completing the square to solve for X in the equation (c+7)(x-9)=25

Answers

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inches squared. Use the formula to calculate the volume. What is the volume of the cylinder? Cylinder V = Bh V = four-thirds pi inches cubed V = 21 pi inches cubed V = 54 pi inches cubed V = 108 pi inches cubed

Answers

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points

Answers

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.

The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?

Answers

Answer:

The weight in ounces of one box = 15ounces

Step-by-step explanation:

We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.

In order words, 11boxes weigh 165ounces.

To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.

Weight of the 11boxes = 165ounces

Number of boxes that gives that weight = 11

The weight of one box = 165/11

The weight of one box = 15ounces

Answer:

(C)

Step-by-step explanation:

I took the quiz

5. BD and EG are parallel lines. Find the angle marked x in the picture
below. *

Answers

Answer:

The third option: 48 degrees.

Step-by-step explanation:

Angle GFH is congruent to angle CFE, which is congruent to ACB, therefore, all are congruent and equal to 48.

Answer:

x = 48

Step-by-step explanation:

∠x ≅ ∠C (vertical angles)

∠C ≅ ∠CFG (corresponding angles)

∠CFG ≅ ∠HFG ≅ 48° (vertical angle)

So

∠x ≅ 48 (Transitive property of equality)

Can anybody help me with this and show work ?? :)

Answers

Answer: 3/2

Step-by-step explanation:

Just take the length of 1 side, for example LP, and count the length in units.

LP = 8 units

Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.

12/8 = 3/2

I'm having trouble, can someone walk me through solving it? Please, I really need help

Answers

Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Which graph shows the solution to this system of inequalities?

Answers

Answer:

Your graph is supposed to be like this so your answer is C

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY

Guests at a wedding had a choice of three main courses: fish, beef or chicken. ⅖ of the guests ordered fish, 3/10 ordered beef. The rest ordered chicken. What fraction of the guests ordered chicken?

Answers

Answer:

I answered this for you already :)

Jayden is running laps at track practice. The track is 25 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes does it take Jayden to run 1 kilometer?

Answers

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

work out the volume of a sphere please help i’ll give u brainlest

Answers

Answer:

V = 3591.4 cm³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 9.5 cm

V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

[tex]3591.4{cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]

Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.

Answers

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

Average speed = 100 km/h

Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months. How much is in Sammi's account at the end of the 6 months?

Answers

Hi,

Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.

How much is in Sammy's account at the end of the 6 months?

25.50 × 6 = $153

In 6 months she deposits $153 into the account.

So :

125.75 + 153 = $278.75

At the end of the 6 months Sammy has $278.75 in her savings account.

writing an equation in Point-Slope Form
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.​

Answers

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

8 1/6 × 12 solve the equation ​

Answers

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

Answer:

243

EXPLANATION:

Rewrite as a square or cube of a number: 1 11/25

Answers

Answer:

1.2^2

Step-by-step explanation:

1 11/25=36/25

square rout of 36/25=1.2

Answer:

1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².

Can you please help me answer this question as I do not know how to. Thank you Solve: x + 7 < 3

Answers

Answer:

SOLUTION SET ={x/x<-4}

Step-by-step explanation:

x+7<3

in order to find the value of x

subtracting 7 on both sides

x+7-7<3-7

x<-4

I HOPE THIS WILL HELP YOU :)

Answer:

The answer is x < -4

Step-by-step explanation:

In order to solve the inequality, you have to subtract 7 to both sides, to make x the subject :

[tex]x + 7 < 3[/tex]

[tex]x + 7 - 7 < 3 - 7[/tex]

[tex]x < - 4[/tex]

Which of the following represents the factorization of the polynomial below x^2+13x+42

Answers

Answer:

(x+7)(x+6)

Step-by-step explanation:

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

a) (x+7) (x+6)

Step-by-step explanation:

That is the correct answer because you get it when you factor the current equation.

Hope it helps

The transformation from the function f(x)=3x to the function f(x) 3x-8

Answers

Answer:

It moves 8 to the right

Step-by-step explanation:

This is in the y axis so it will move 8 on the x axis

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