If cos(27) =p, express sin(27) in terms of p

Answers

Answer 1

Answer:

√(p²-1)

Step-by-step explanation:

sin (27°) = √(p²-1) / 1

= √(p²-1)

If Cos(27) =p, Express Sin(27) In Terms Of P

Related Questions

Factorize (x-3y)^3+27y^3
With explanation
Will mark Brainliest for the best one...

Answers

Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Replace b^3 by 27y^3
x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)

1/5 of a certain number is added to 5½ the same as when ⅙ of the number that is subtracted from 30⅖find the number​

Answers

Step-by-step explanation:

1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n

make the 3rd term an improper fraction

1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n

multiply equation by 30, cancel the denominators, resulting in:

6n + 6(51) = 6(152) - 5n

6n + 306 = 912 - 5n

6n + 5n = 912 - 306

11n = 606 is the number

n = 606/11

n = 55 1/11

Answer:

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

[tex] \frac{11}{30}x = \frac{249}{10} [/tex]

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68

Solve for x: -5 < 8x + 11 < 19

Answers

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

solve 7y 4/y 2 = -4/3

Answers

Answer:

Step-by-step explanation:

(7y+4)/(y+2)=-4/3

[tex]\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\[/tex]

Cross multiply,

(7y + 4) * 3 = -4*(y+ 2)

Use distributive property,

7y*3 + 4*3 = -4*y + 2*(-4)

21y + 12 = -4y - 8

Subtract 12 from both side

21y = -4y - 8 - 12

21y = -4y - 20

21y + 4y = -20

25y = -20

y = -20/25

[tex]y=\dfrac{-4}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}[/tex]

[tex]\\ \sf\longmapsto 3(7y+4)=-4(y+2)[/tex]

[tex]\\ \sf\longmapsto 21y+12=-4y-8[/tex]

[tex]\\ \sf\longmapsto 21y+4y=-8-12[/tex]

[tex]\\ \sf\longmapsto 25y=-20[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-20}{25}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-4}{5}[/tex]

find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2

Answers

Answer:

D

Step-by-step explanation:

for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio

sin60=opposite/hypotenuse

sin60=a/73

a=10.5

then after you have found the adjacent you can use the cos ratio

cos45=adjacent/hypotenuse

cos45=10.5/x

cos45x/cos45=10.5/cos45

x=14.849

which is the same as 212 over 2

I hope this helps

Answer:

D

Step-by-step explanation:

Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 21 ( divide both sides by 2 )

a = [tex]\frac{21}{2}[/tex]

Using the cosine ratio in the right side triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D

Match all the part of the circle to their correct name.

1. YW
2. Q
3. WX
4. W
5. ST
6. VQ
7. TW

a. Center
b. Secant Line
c. Chord
d. Radius
e. Point of Tangency
f. Diameter
g. Tangent Line

Answers

Answer:

halo

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

please mark brainliest???

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

What is diameter?

In geometry, a diameter of a circle exists as any straight line segment that passes via the center of the circle and whose endpoints lie on the circle. It can also be described as the longest chord of the circle. Both descriptions exist also valid for the diameter of a sphere.

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

To learn more about diameter refer to:

https://brainly.com/question/23220731

#SPJ2

what is the electrical work done in a circuit​

Answers

the electrons must move by some distance through a wire or conductor, the work done is stored in the flow of electrons as energy. therefore “Work” is the name we give to the process of energy.

Answer:

a open and close switch and a condentation out put.

find the area of the following composite figure​

Answers

Answer: 28.6 square inches

Explanation:
square: 4x4=16
Two half circles = one whole circle
Area of a circle is (pie x r^2)
R=radius; the radius is 4/2=2
Pie x 2^2=4pie
4pie=12.6
12.6 + 16= 28.6 square inches

find the ratio in lowest term b 750m and 1km​

Answers

Hope it helps !!!!!!!

Answer:

4m/3m

Step-by-step explanation:

1km = 1000m

750m : 1km

750m : 1000m

Reduce ratio in simplest form.

HCF of 1000 and 750 is 250

750  ÷ 250 / 1000  ÷ 250

= 4/3

Hence, the simplest form of the ratio 750m : 1km is 4m/3m

. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.

Answers

Answer: 50%

Step-by-step explanation:

From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.

Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:

= 450/1000 × 100

= 45%

= 0.45

= 0.5 to nearest tenth

= 50% to nearest tenth.

Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)

Answers

Answer:

Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky

Step-by-step explanation:

If g(x) = 2(x − 4), find the value of x if g(x) = 20

Answers

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25​

Answers

Answer:

A. 13

Step-by-step explanation:

2(x - 3) + 3y

2(5 - 3) + 3×3

2× 2 + 3×3

4 + 9

13

Answer:

The correct answer is A

Step-by-step explanation:

2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)

next,

you would solve it

2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3

finally you solve it

10-6 = 4 +9

= 13!

Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

Not looking for answer but does anyone know this specific topic in math

Answers

Answer:

This is called system of equations.

Step-by-step explanation:

This combines two equations and then lines them up to a system.

Answer:

Step-by-step explanation:

 

  matrix

     or

vector geometry

Help me plss.. I already give the picture... ​

Answers

Answer:

Step-by-step explanation:

which inequality is represented on the number line shown?

Answers

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

I need help make sure to round it to the nearest 10th

Answers

Answer:

10.52

Step-by-step explanation

Answer: x= 10.5

Step by step explanation: in order to find the missing side you need to use sin=opposite/hypotenuse, which gets you sin26*=x/24, multiply both sides by 24 which will get you 24(sin26*)=x once rounded to the nearest tenth will give you the result of 10.5

Anybody know how to do the last 2. Pls its due in the morning!

Answers

19°

The unknown angle be x

x=59°(Exterior opposite angles..

20:-

If unknown angle be x

[tex]\\ \sf\longmapsto x+76=180[/tex]

[tex]\\ \sf\longmapsto x=180-76[/tex]

[tex]\\ \sf\longmapsto x=104°[/tex]

Someone help me on this, thats my illustration for it its a lil long

Answers

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

A = 25a = 13.2b = 25.5

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

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

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

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

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Trong mặt phẳng tọa độ cho tam giác ABC biết các đỉnh A(-1,2), B(4,7) và trọng tâm tam giác G(3,2). Viết phương trinh đường thẳng d chứa đường cao đi qua A của tam giác ABC

Answers

can you translate so i can help you out .

Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour

Answers

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

which is the graph of g(x) = sqrt x-16

Answers

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Factorize no g, h, j, k, m, n​

Answers

answer =

=3a²-16ab+13b²

=3a²-(13+3)ab+13b²

=3a²-13ab-3ab+13b²

=a(3a-13b)-b(3a-b)

=(3a-13b)(a-b)

Answer:

even I got confused in question no. j

no worry rest all are solved .

all the questions are solved by middle term splitting method .

our of 1000 new born
babies, there are 514
boys, what will be the
empirical probability
the newly born baby is
(i) a boy (ii) a girl​

Answers

Look a view at this picture

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.

Answers

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

plz help me to slove this ​

Answers

Answer:

50

Step-by-step explanation:

= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5

= 3^3 + (12) + 2^2 + (3 + 2)^5

= 3^3 + 12 + 2^2 + (5)^5

= 9 + 12 + 2^2 + 5^5

= 9 + 12 + 4 + 5^5

= 9 + 12 + 4 + 25

= 50

The Boeing777-300ER flies between Auckland and Los Angeles. It has 246 Economy
class seats, 50 Premium Economy seats and 44 Business Premier seats. Out of the 340
seats in total, what percentage are Economy seats?

Answers

Answer:

72.35%

Step-by-step explanation:

246/340 = .723529

Just multiply it by 100 to get the percentage

.723529 x 100 = 72.3529

Best answer gets brainliest and 5 stars

Answers

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.

n = d + 74

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?

Answers

answer: n=90

please mark brainliest
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