At the start of the Crayola empire, their pricing for a pack of markers was steep due to high demand. For a basic pack of 8 markers, the cost was $11.50. At this rate, how much would the special pack of 7 markers cost?

Answer: d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

The greatest common factor of 36 and 68 is 4

Step-by-step explanation:

36÷4=9

68÷4=17

Answer:

First don't forget the [ tex ] [ /tex ] in order to execute the latex code.

Step-by-step explanation:

[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]

[tex] \cos AcosA [/tex] = [tex] \cos [/tex]

The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Given that:

[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]

So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.

There must be existing a right triangle with same measure of angle A such that:

Perpendicular's length = P = 5 units

and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.

Using Pythagoras theorem, we get:

Base' length = B as:

[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]

(took positive root as B is representing length, a non-negative quantity).

Thus, Base is of 8 units length.

Thus, we get:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]

Rationalizing, we get:

[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]

Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

Answer: Answer is B

Step-by-step explanation:

Answer:

Part A: option C

Part B: option B

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

1 isn't a prime number. 2 is the smallest, which is in 58

Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

Answer:

ZWXY

Step-by-step explanation:

The other shape is the same but you want to name it the same way that they named the first one

Answer:

[tex]x=44[/tex]

m∠1=118°

m∠2=62°

Step-by-step explanation:

Part A: They are supplementary angles, so

[tex]2x+30+62=180[/tex]

Simplify like terms,

[tex]2x+92=180[/tex]

We subtract 92,

[tex]2x=88[/tex]

Divide by 2,

[tex]x=44[/tex]

Part B:

[tex]m[/tex]∠[tex]1=2x+30[/tex] because ∠2 is vertical to 2x+30.

Plug in 44 for x,

[tex]m[/tex]∠[tex]1=2(44)+30[/tex]

Simplify,

[tex]m[/tex]∠[tex]1=118[/tex]

[tex]m[/tex]∠[tex]2=62[/tex]° because it is a vertical angle to the 62° angle.

Answer:

Solution given:

2x+30+62=180°[linear pair]

2x=180-92°

x=88/2=44°

Now,

<1=2x+30=2×44+30=118°[vertically opposite angle]

<2=62°[vertically opposite angle]

[vertically opposite angle]

Answer:

Option A. {-4, 2, 4}

Step-by-step explanation:

There is no other options because none of them are bigger than -5 except Option A.

Answer:

87,178,291,200 ways

Step-by-step explanation:

Number of songs = 14

To Form an album with the 14 songs, the number of ways at which the 14 songs can be arranged is obtained by calculating the factorial of the number of songs ;

Number of ways in which the 14 songs can be arranged :

14! = (14 * 13 * 12 * 11* 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 87178291200 ways

9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

Answer:

both angles are 92 degrees

Step-by-step explanation:

88+c=180

c=92

c and b are vertical angles and all vertical angles are equal

Answer:

-45

Step-by-step explanation:

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

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

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

Answer:

7, -10, -2

Step-by-step explanation:

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

four hundred and thirty six

seven hundred and eighty three

two hundred and ten

Step-by-step explanation:

Answer:

no because the parenthesizes means your multiplying

Step-by-step explanation:

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

Answer:

39.2

Step-by-step explanation:

A- area of trapezoid

a-Base  

b-Base  

h-Height

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Answer:a or d

Step-by-step explanation:

Answer:

your answer is 170 but if its round to the nearest probably pick 200

Answer:

200

Step-by-step explanation:

170 rounds to 200

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3