Solve the equation sin(x° − 20°) = cos(42°) for x, where 0 < x < 90. A. 22 B. 28 C. 62 D. 68

Answers

Answer 1
_____________________________SOLUTION:-

[tex] \sin(x - 20°) = \cos(42°) [/tex]

[tex] \sin(x - 20°) = \sin(90° - 42°) [/tex]

[tex] \sin(x - 20°) = \sin 48°[/tex]

[tex]x - 20° = 48°[/tex]

[tex]x = 48° + 20°[/tex]

[tex]x = 68°[/tex]

______________________________ HOPE IT HELPS YOU DEAR!!!______________________________
Answer 2

Answer:68

Step-by-step explanation:


Related Questions

7>x/4 solve for x

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Answers

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.

Please help! Was due yesterday!

Answers

Answer:

1. Line segment 2. Point 3. Line 4. Line Segment

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

(SAT Prep) Find the value of x

Answers

25°+x=45°+15°25°+x=60°x=60°-25°x=35°

I hope it will be helpful andplease mark this answer as brainlist

Answer:

55°

Step-by-step explanation:

It should be:

x - 25 = 45 - 15x = 30 + 25x = 55

Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1

Answers

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2


During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?

Answers

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

David’s hourly rate is 106 dollars an hour

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent

Answers

to Answer:

D is false

Step-by-step explanation:

AB and CD are not adjacent.

AB is adjacent to BC and AD  but not to CD.

0.007407 in standard form​

Answers

Step-by-step explanation:

To convert 0.007407 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 7.407 × 10-3

i think this may help you tq

find the surface area of the cylinder and round to the nearest tenth​

Answers

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

Find the value of the constant m √150 - √12m + √54 = 0​

Answers

Answer:

m is 2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

find the unknown size of angle​

Answers

Answer:

x = 60

2x = 120

2x + 30 = 150

2x - 30 = 90

Step-by-step explanation:

2x + 2x - 30 + 2x + 30 = 360

2x + 2x + 2x + 30 - 30 = 360

6x + 0 = 360

6x = 360

x = 360 / 6

x = 60

2x

= 2 x 60

= 120

2x + 30

= 120 + 30

= 150

2x - 30

= 120 - 30

= 90

13. Which equation represents the line below?
A. y = -x +3
B. y = 2x - 6
c. y = -x + 4
D. y = 1/2x -3​

Answers

Answer:

y = -2/3x + 3

Step-by-step explanation:

First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:

(y₂ - y₁) / (x₂ - x₁)

If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3

Next, we can substitute in values in the equation above to get (1 -5)/(3+3)

** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**

Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3

After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).

Therefore, if we put the above information into slope-intercept form:

y = mx + b --> m = -2/3; b = 3

y = -2/3x + 3

Though I don't think that answer choice is there...

Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular

Answers

Same line so the correct answer is b

someone please help!!

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

Helpppppp pleaseeee anyoneeeee!!!!!

Answers

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)

Now substitute in the values of m to get the a-value:

m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168

8a^3-36a^2+54a-27-64p^3​

Answers

Answer:

8a^3-64p^3-36a^2+54a-27

Step-by-step explanation:

since it no common variable so it can not be further solved

Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.​

Answers

Answer:

y = -3/5x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 5 - (-5)

-6/ 10

= -3/5

y = -3/5x + b

1 = -3/5(-5) + b

1 = 3 + b

-2 = b

Simplify the following expression.

Answers

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450

Answers

Answer:

$290

Step-by-step explanation:

We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.

Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.

Thus;

P(x) for expensive sofa = 1/5

P(x) for sofa in sale advertisement = 4/5

Thus, expected value is;

E(X) = (1/5)450 + (4/5)250

E(x) = 90 + 200

E(x) = $290

Answer:

The average cost of a sofa = [tex]\$290[/tex]

Step-by-step explanation:

Cost of advertised sofa = [tex]\$250[/tex]

Cost of more expensive sofa = [tex]\$450[/tex]

So, the average cost of sofa,

[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]

Hence,

The average cost of a sofa = [tex]\$290[/tex]

For more information, visit

https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e

What is the slope of the graph?​

Answers

Answer:

Slope = -3

Step-by-step explanation:

m = slope

m = (y2 - y1)/(x2 - x1)

Points: (0, 3) & (1, 0)

m = (0 - 3)(1 - 0)

m = -3/1

m = -3

points are

(0,3)(1,0)

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]

[tex]\\ \sf\longmapsto m=-3[/tex]

PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x

Answers

Answer:

x = 14.63

Step-by-step explanation:

PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .

A group of 11 students participated in a quiz competition. Their scores are shown below:

Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)

Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)

Answers

Answer:

A) Histogram

Step-by-step explanation:

A) The first step would be to look at the purpose and use for each type of plotting method;

Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.

Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values

Box Plot: Summerizes a set of data measured on an interval scale.

Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete

B)

To create your histogram you first have to create a frequency table like the one below;

On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)

Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.

That's how it's done!

Answer:

this is only for part a: a histogram

Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier


How many dimes are there in four hundred
and sixty-seven million dollars?

Answers

Answer:4,670,000,000

Step-by-step explanation:

You just have to multiply 467,000,000 by 10

Answer:

4,670,000,000

Step-by-step explanation:

multiply by 10


Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =

Answers

The answer to your question is 26. Hope that helps.

Match each equation to its graph. Use the drop-
down menus to describe the equations.

Answers

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

What is a linear equation?

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

What is a quadratic equation?

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.

Therefore the correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

Learn more about linear equation

here: https://brainly.com/question/14323743

#SPJ2

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

ANSWERRRR IF UR COOL!! Plssss ILL MARK BRAINLEST Ty!!! So much ilyyyyyyy

Answers

Answer number 3. Since it's obvious in the picture.

Answer:

-2 and -1

Step-by-step explanation:

Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous

Someone please help fasttt!!

Answers

Answer:

the slope is -1/4 throughout the line.

Step-by-step explanation:

the slope of a line never changes anywhere on the line. otherwise it would not be a line.

the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.

and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).

therefore -1/4

Answer:

3rd option

Step-by-step explanation:

The line has the same slope over the whole line

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)

m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]

The slope is - [tex]\frac{1}{4}[/tex] throughout the line

Find the perimeter and area , Please help me on this will give brainlist

Answers

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.

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