Answer:
sin b = 0.8
Step-by-step explanation:
Since a and b are complementary angles , then
sin b = cos a = 0.8
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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How to solve multi step equations
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
10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.
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
3,10,13,23,36,59 what’s the pattern
Solve for x.
A. 7
B. 5
C. 0
D. 2
Answer:
5!
Step-by-step explanation:
2x+260=mB50
= 2(5)+260
=310
sq=5
3/4 + square of 64 classified
Hi ;-)
¾ + √64 = ¾ + 8 = 8¾
√64 = 8, because 8 · 8 = 64
number of tokens needed for v video games if each game takes 4 tokens
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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Does #1 look correct?
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.
(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
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
How do I solve 2(12-9)^2-5x4
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
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
Help help help help help help help help help help help plss
Answer:
$48.
Step-by-step explanation:
60% off
= 120 - 0.60*120
= 120 - 72
= $48.
Can someone please help me on this
Answer:
D 150 ft is the length of 5 ft
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.
Answer:
the class started a new one
a bag of potatoes weighs 60 kg. how many kg are there in 13 of them
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
m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
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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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.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
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
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.
4. What is the simplified form of the expression? 5(14-2)^2/2.
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)
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
Answer:
Third floorStep-by-step explanation:
The ground level is zero, then we have the following equations.
2 levels below ground level:
0 - 2 = -25 levels up:
-2 + 5 = 3Answer:
[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]
7x-5y<-15 graph and shade
Answer:
Slope: 7/5
y intercept: (0,3)
Step-by-step explanation:
HELP NEEDED! ^^
|
IF YOU HAVE ANSWERS PLS SAY IT DOWN BELLOW THANK YOU!
Answer:
B - 18
Step-by-step explanation:
Area of a right triangle
1/2 * b * h
1/2 * 9 * 4
1/2 * 36
18
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
Machine A is 5, machine B is 6, and machine c is 3. Therefore C is the fastest.
Step-by-step explanation:
solve the simultaneous equation:
y=x^2+3
y-2x=18
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 )
Describe a relationship between two sets that you can describe mathematically
Answer:
LOVE and CARING for each other
Step-by-step explanation:
HELP! 25 minus 6 times a number increased by 3 times the same number is -56
Write equation and solve.
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
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.
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 gameReflection
When an object is flipped from its original position, then the object has been reflected. Real world examples include:
The mirrorIdentical twinsDouble-edged swordRotation
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 wheelsDilation
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 designsMapsSee attachment for examples of each transformation
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Help me please!!!!!!!!!!!!!!!!!
Answer:
A. x^6
Step-by-step explanation:
[tex]z = {y}^{2} = {( {x}^{3} )}^{2} = {x}^{3 \times 2} = {x}^{6} [/tex]
How to solve 3х/2+5/2= 7
Answer:
x = 3
Step-by-step explanation:
3х/2+5/2= 7
(3x+5)/2 = 7
3x+5 = 14
3x = 9
x = 3
Find the perimeter and area , pls help me on this I will give brain list :)
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
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?
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 hexágonoNosotros 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!