In the triangle above, the cosine of a is 0.8.What is sine of b?

In The Triangle Above, The Cosine Of A Is 0.8.What Is Sine Of B?

Answers

Answer 1

Answer:

sin b = 0.8

Step-by-step explanation:

Since a and b are complementary angles , then

sin b = cos a = 0.8

Answer 2

The sine of angle b is 0.8

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is sine angle?

"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle  [tex]\theta[/tex] to the hypotenuse."

What is cosine angle?

"In a right triangle, cosine of angle [tex]\theta[/tex] is the ratio of the adjacent side of angle  [tex]\theta[/tex] to the hypotenuse."

What are complementary angles?

"Two angles are complementary if the sum of their measures is equal to 90 degrees."

For given question,

We have been given a right triangle.

here,

∠a + ∠b = 90°

∠b = 90° - ∠a                             ................(i)

This means, a and b are complementary angles.

The cosine of a is 0.8

cos(a) = 0.8

We need to find the sine of angle b.

sin(b)

= sin(90 - a)                        .............(from (i))

= cos(a)                               .............(Since [tex]sin(90-\theta)=cos(\theta)[/tex])

= 0.8                                    ............(Given)

So, sin(b) = 0.8

Therefore, the sine of angle b is 0.8

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Related Questions

number of tokens needed for v video games if each game takes 4 tokens

Answers

Answer:

the awnser is 20 bc 4 x 5 = 20

The total number of tokens needed for v video games is 4v.

How many tokens is needed?

Number of tokens needed per game = 4 tokens

Number of video games = v

Total number of tokens needed = Number of tokens needed per game × Number of video games

= 4 × v

= 4v

Therefore, if the 6 video games are played;

Total number of tokens needed = 4v

= 4 × 6

= 24 tokens

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4. What is the simplified form of the expression? 5(14-2)^2/2.​

Answers

Answer:

5(14-2)^2÷2=360

Step-by-step explanation:

Further explanation

We at present undergo the following operations: addition, subtraction, multiplication, and division. When given an expression sometimes we confuse operations which must take precedence.

In the 1500s the rules of the order of operation were issued. The "order" of these operations states which processes take precedence (as a priority) before which other operations.

The priority of operations is:

Brackets (simplify in it)

Exponent

Multiplication and Division (from left to right)

Addition and Reduction (from left to right)

In the past 3 games Lebrun James has scored 28,37, and 25 points. How many must he score in the 4th games to average 27 points

Answers

28+37+25+x divided by 4 = 27
Multiply both sides by 4
90+x=108
Subtract 90 from both sides
X= 18

Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.

Answers

Answer:

C

Step-by-step explanation:

all whole numbers can be written as fractions that is over 1

C is incorrect. Any whole number (including zero) can be written as a fraction over 1

3/4 + square of 64 classified

Answers

Hi ;-)

¾ + √64 = ¾ + 8 = 8¾

√64 = 8, because 8 · 8 = 64

Describe a relationship between two sets that you can describe mathematically

Answers

Answer:

LOVE and CARING for each other

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE PLEASE

Answers

Answer:

Machine A is 5, machine B is 6, and machine c is 3. Therefore C is the fastest.

Step-by-step explanation:

7x-5y<-15 graph and shade

Answers

Answer:

Slope: 7/5

y intercept: (0,3)

Step-by-step explanation:

3,10,13,23,36,59 what’s the pattern

Answers

It's a Fibonacci sequence sum of two prior (Xn=Xn-1+Xn-2). X6=X6-1+X6-2

X6=X5+ X4
So the answer is 59.




3, 10, 13, 23, 36, 59…

How to solve multi step equations

Answers

Answer:

how did the "X" on the right get to the left...

to remove it you have to SUBTRACT ...

you added "X" to both sides that was/is the error in your attempt

Step-by-step explanation:

-2x + 5(x-1) = -11 + x

-2x + 5x - 5 = -11 +x

3x - 5 = -11 + x

2x - 5 = -11

2x = -6

x = -3

Which statements are true?
Select each correct answer.
Function 1 has a greater rate of change than function
2. Function 2 has a greater rate of change than function
3: Function 1 has a greater y-intercept than function
4: Function 2 has a greater y-intercept than function 1.

Answers

Answer:

the class started a new one

HELP! 25 minus 6 times a number increased by 3 times the same number is -56
Write equation and solve.

Answers

Answer:

25 - (6 x y) + (3 x y) = -56, y = 3.44

Step-by-step explanation:

-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44

it's a repeating number so uh yeah

y = 3.44

How to solve 3х/2+5/2= 7

Answers

Answer:

x = 3

Step-by-step explanation:

3х/2+5/2= 7

(3x+5)/2 = 7

3x+5 = 14

3x = 9

x = 3

Does #1 look correct?

Answers

Answer:

Yes

Step-by-step explanation:

If we need to find the distance between two points on a number line, we subtract one of the points from the other. We then take the absoulte value of the difference. You done this right.

How do I solve 2(12-9)^2-5x4

Answers

Answer:

-2

Step-by-step explanation:

brackets first

12 - 9 = 3

Then square it

3^2 = 9

Now multiply by 2

9*2 = 18

finally get - 5 * 4 = - 20

and put them both together

18 - 20 = - 2

ayuda urgente con paso a paso porfavor

3. Una ciudad contrata un escultor para diseñar la escultura “El lápiz”. El diseño

que presenta para la escultura tiene forma y medidas que se muestran en la

imagen, donde la distancia del centro de la base del prisma a cada uno de sus

lados es de 3,4 m y su perímetro es de 24 m. La altura total de la escultura es 5

m. ¿Cuánto volumen de material es necesario para construir la escultura?

Answers

El volumen de material requerido para la construcción de la escultura es:

[tex]V_{tot}=122,26\: m^{3}[/tex]

Esta escultura esta compuesta de dos volúmenes, un prisma de base hexagonal y una pirámide de base hexagonal. Calculemos el volumen de cada figura por separado, para luego sumarlos.

Prisma

La ecuacion del área de un hexágono está dada por:

[tex]A_{hex}=\frac{P*a}{2}[/tex]

Donde:

P es el perimetro del hexágono (P = 24 m)a es la distancia del centro a uno de sus lados, apotema. (a = 3,4 m).

Entonces el área será:

[tex]A_{hex}=\frac{24*3,4}{2}[/tex]

[tex]A_{hex}=40,8\: m^{2}[/tex]

Ahara, el volumen de un prisma de base hexagonal está dada por:

[tex]V_{prisma}=A_{hex}*h[/tex]

h es la altura del prisma, en nuestro caso h = 2 m.

Entonces:

[tex]V_{prisma}=40,8*2[/tex]

[tex]V_{prisma}=81,6\: m^{3}[/tex]

Pirámide

El volumen de una pirámide de base hexagonal está dado por:

[tex]V_{piramide}=\frac{A_{hex}*H}{3}[/tex]

Donde:

H es la altura de la pirámide.A(hex) es el área del hexágono

Nosotros tenemos la apotema del volumen 4,53 m, por lo tanto podremos calcular H usadon el teorema de pitagoras.

[tex]4,53^{2}=a^{2}+H^{2}[/tex]

[tex]4,53^{2}=3,4^{2}+H^{2}[/tex]

[tex]H=2,99\: m[/tex]

Por lo tanto el volumen de la pirámide será:

[tex]V_{piramide}=\frac{40,8*2,99}{3}[/tex]

[tex]V_{piramide}=40,66\: m^{3}[/tex]

El volumen total del material necesario será:

[tex]V_{tot}=V_{prisma}+V_{piramide}[/tex]

[tex]V_{tot}=81,6+40,7=122,26\: m^{3}[/tex]

Puedes aprender más de volúmenes aquí:

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Espero te haya sido de ayuda!

Help help help help help help help help help help help plss

Answers

Answer:

$48.

Step-by-step explanation:

60% off

= 120 - 0.60*120

= 120 - 72

= $48.

I think it’s 72 sorry if I am wrong

Examples of geometric transformations can be found throughout the real world. Think about some places where you might use or see transformations. Give at least three examples for each type of transformation. Make use of the Internet, books, magazines, newspapers, and everyday life experiences to come up with your examples.


Transformation Real-World Example


translation 1.

2.

3.


reflection 1.

2.

3.


rotation 1.

2.

3.


dilation or stretch 1.

2.

3.

Answers

Answer:

Translation:

1. Movement of furniture

2. Airplane positioning within a taxiway

3. The position of the mouse cursor on your computer

Reflection:

1. A mirror

2. A double-door exit at school

3. Chairs facing each other at school

Rotation:

1. The Earth's rotation

2. Hands on a clock

3. A carousel

Dilation/Stretch:

1. A balloon expanding

2. A balloon deflating

3. Biological growth

Transformation involves changing the position and/or size of a shape. Some real world examples of transformation are:

Translation: Mouse cursor

Reflection: Mirror

Rotation: The clock

Dilation: Magnifying lenses

Translation

When an object is moved away from its original position, then the object has been translated. Real world examples include:

Walking on a straight pathRepositioning the mouse cursorMoving the token of a ludo game

Reflection

When an object is flipped from its original position, then the object has been reflected. Real world examples include:

The mirrorIdentical twinsDouble-edged sword

Rotation

When an object is turned around a center, then the object has been rotated. Real world examples include:

The wall clockPlanets rotation around the sunTurning of wheels

Dilation

When the size of an object is changed in equivalent proportions, then the object has been dilated. Real world examples include:

Magnifying lensPrototypes of architectural designsMaps

See attachment for examples of each transformation

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HELP NEEDED! ^^
|
IF YOU HAVE ANSWERS PLS SAY IT DOWN BELLOW THANK YOU!​

Answers

Answer:

B - 18

Step-by-step explanation:

Area of a right triangle

1/2 * b * h

1/2 * 9 * 4

1/2 * 36

18

a wire 10cm long is cut into two pieces, one of length x and the other of length 10-x. Each piece is bent into the shape of square. find the value of x that minimizes the total rea of the two squres

Answers

Answer:

The value of x that minimizes the total area of the two squares is x = 5.

Step-by-step explanation:

A wire 10 centimeters long is cut into two pieces, with one piece measuring x centimeters and the other (10 - x) centimeters.

Each piece is bend into the shape of a square, and we want to find the value of x that minimizes the total area of the two squares.

If x is bend into a square with four equivalent sides, then each side measure:

[tex]\displaystyle A = \frac{x}{4}[/tex]

Likewise, each side of the second square will measure:

[tex]\displaystyle A = \frac{10-x}{4}[/tex]

The area of a square is its side squared. Hence, the area of both squares will be given by:

[tex]\displaystyle T = \left( \frac{x}{4}\right) ^2 + \left(\frac{10-x}{4}\right)^2[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} T &= \frac{x^2}{16} + \frac{x^2 - 20x + 100}{16} \\ \\ &=\frac{2x^2-20x+100}{16}\\ \\ &= \frac{1}{8}x^2-\frac{5}{4}x+\frac{25}{4} \end{aligned}[/tex]

Since this is a quadratic with a positive leading coefficient, the minimum value will occur at the vertex point.

Recall that the x-coordinate of the vertex is given by:

[tex]\displaystyle x = -\frac{b}{2a}[/tex]

In this case, a = 1/8 and b = - 5/4. Hence:

[tex]\displaystyle x = -\frac{\left(-\dfrac{5}{4}\right)}{2\left(\dfrac{1}{8}\right)} = 5[/tex]

In conclusion, the value of x that minimizes the total area of the two squares is x = 5.

Help me please!!!!!!!!!!!!!!!!!

Answers

Answer:

A. x^6

Step-by-step explanation:

[tex]z = {y}^{2} = {( {x}^{3} )}^{2} = {x}^{3 \times 2} = {x}^{6} [/tex]

Can someone please help me on this

Answers

Answer:

D 150 ft is the length of 5 ft

m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?

Answers

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

What is the angle?

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

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Solve for x.
A. 7
B. 5
C. 0
D. 2

Answers

Answer:

5!

Step-by-step explanation:

2x+260=mB50

= 2(5)+260

=310

sq=5

a bag of potatoes weighs 60 kg. how many kg are there in 13 of them

Answers

Answer:

780 kg

Step-by-step explanation:

If 1 weights 60 kg then 13 of them should weight 780 kg

1 60 kg

13 ↗️ ?

(13 × 60) ÷ 1

-1 bag of potatoes is 60kg.
-If there are 13 bags of potatoes,

60kg × 13 bags = 780 kg in total

Find the perimeter and area , pls help me on this I will give brain list :)

Answers

Answer:

P: 4x+10

A: [tex]x^{2}[/tex]+5x+4

Step-by-step explanation:

Perimeter: 2*(length+width) =

2*(2x+5) = 4x+10

Area: (x+4)*(x+1) = [tex]x^{2}[/tex]+5x+4

solve the simultaneous equation:
y=x^2+3
y-2x=18

Answers

Answer:

(- 3, 12 ) and (5, 28 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3 → (1)

y - 2x = 18 → (2)

Substitute y = x² + 3 into (2)

x² + 3 - 2x = 18 ( subtract 18 from both sides )

x² - 2x - 15 = 0 ← in standard form

(x + 3)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 5 = 0 ⇒ x = 5

Substitute these values into (1) for corresponding values of y

x = - 3 : y = (- 3)² + 3 = 9 + 3 = 12 ⇒ (- 3, 12 )

x = 5 : y = 5² + 3 = 25 + 3 = 28 ⇒ (5, 28 )

10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.​

Answers

Answer:

yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get

85571.5 with decimal include

An elevator is two floors below ground level and goes
up 5 floors. Write an addition equation that models the
location of the elevator relative to ground level. What
integer represents the new location? Please help me

Answers

Answer:

Third floor

Step-by-step explanation:

The ground level is zero, then we have the following equations.

2 levels below ground level:

0 - 2 = -2

5 levels up:

-2 + 5 = 3

Answer:

[tex]here \: elevator \: is \: at \: below \: ground \: \\ level \: by \: two \: floors \\ so \: take \: it \: as \: 1 \: so \: then \: ground \: level = 3 \\ \\ then \: the \:upper \: floor \: is \: 5 \\ \\ then \: upper \: - ground = 5 - 2 = 23\ so \: answer \: is3 \\ thank \: you[/tex]

(6^4)^-3
Which of the following expressions is equivalent to the above expression?
A. 6^-12
B.6^-7
C.6
D.6^12

Answers

Answer:

A. 6^-12

Step-by-step explanation:

This is a "power of a power"--so we multiply the exponents

(6^4)^-3 = 6^(4*-3) = 6^-12