What is the slope of line a?

Answer:

Step-by-step explanation:

We know that:

So the value of the expression is:

Answer:

75°

Step-by-step explanation:

Recall the common trigonometric angles:

  [tex]\sin 30^{\circ}=\dfrac{1}{2}[/tex]

  [tex]\tan 45^{\circ}=1[/tex]

Arcsin is the inverse of sin.

Arctan is the inverse of tan.

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}[/tex]

[tex]\implies \arctan (1) = 45^{\circ}[/tex]

Therefore:

[tex]\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}[/tex]

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

Answer:

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

Step-by-step explanation:

I hope I've helped :).

Answer:

perimeter = number of sides x the length of any side.

Step-by-step explanation:

brainliest pls

Answer:

4,670.61 Dollars

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.5/100

r = 0.025 rate per year,

Then solve the equation for A

A = Pert

A = 2,500.00(2.71828)(0.025)(25)

A = $4,670.61

Answer:

50%

Step-by-step explanation:

45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum

Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

The area of the board that can be seen is  11.44 decimeter square.

The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.

Area of a circle = πr²

Where :

3.14 x 2² = 12.56 d²

Area of the rectangle = length x width

6 x 4 = 24

Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

Step-by-step explanation:

Observe that [tex]y^6-64=y^6-2^6.[/tex]

And you factor out using this expression:

[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]

Take a=y and b=2.

Answer:

(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Step-by-step explanation:

[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

[tex]y^{6}[/tex] - 64

= (y² )³ - 4³

= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Answer:

[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]

Answer:

the slope of zw is 2/5

the length of zy is sqrt29

Quadrilateral WXYZ is square

The slope of ZW is 2/5, length of ZY is square root of 29, and the quadrilateral WXYZ is a square.

It is a 4 side figure, four angle and four vertices.

Points of quadrilateral is Z(-3,1), W(2,3), X(4,-2) AND Y(-1,-4)

Slope of ZW is (3-1)/(2+3)=2/5

Slope of YX=(-2+4)/(-1-4)=-2/5

Length of ZY=root of [tex](-4-1)^{2} +(-1+3)^{2}[/tex]=root of 29

Length of WX =root of [tex](-2-3)^{2} +(4-2)^{2}[/tex]= root of 29

Quadrilateral it is a square.

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Answer:

(−1)kxk

Step-by-step explanation:

Therefore, the infinite series ∞∑k=11k does not converge.

(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.

Answer:

The percentage decrease is 25%.

Step-by-step explanation:

The difference in price is $2:

$8 - $6 = $2

Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:

2/8 * 100.

This equals 200/800 which is 25%.

Answer:

RS=26.49 m;

ST =14.08 m;

m<R =28°

Step-by-step explanation:

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

Answer:

Where is the equation??

Answer:

"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."

The correct solution is: x = -10, y = -38

Step-by-step explanation:

2x - y = 18

y = 4x + 2

Substitute the given value for y into the first equation:

2x - (4x + 2) = 18

2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y

-2x -2 = 18

add 2 to both sides

-2x = 20

divide by -2

x = -10

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

solve for y

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

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

Check the math:

2x -  y = 18

2(-10) - (-38) = - 20 + 38 = 18

Answer:

120

Step-by-step explanation:

6 x 20 = 120

Answer:

rational expressions

hope I helped! :)

Answer:

[tex]\frac{15\pi }{4}[/tex]

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].

We will substitute 675 for angle in degree into the formula to get the value in radian.

[tex]\frac{675*pi}{180}[/tex]

This will be [tex]\frac{15pi}{4}[/tex].

Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].

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Complete question :

The time taken to make and pack an order represented by the equation ; 2x + 10. How man minutes will it take to make and pack an order for 36 parts:

Answer:

82 minutes

Step-by-step explanation:

Time taken to make and pack an order : 2x + 10

To pack 36 orders ; put x = 36 in the equation :

= 2(36) + 10

= 72 + 10

= 82

82 minutes is required to make and pack an order for 36 parts.

Answer:

2x + 10

= 2(36) + 10

= 72 + 10

= 82

It will take 82 minutes to make and pack an order for 36 parts.

Step-by-step explanation:

Got it right :)

Please mark brainliest

7????

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

Answer:

66.66 repeating, or 66.7

Step-by-step explanation:

3rds only go to 99 if your looking for fractions, and to get from 3-99, you would multiply the fraction times 33.3 repeating. to keep the fraction even, you would also multiply the numerator (top number) by 33.3 repeating, getting 66.66 repeating

Answer:

7/30

Step-by-step explanation:

We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10

Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9.  Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30

Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350