We can use the 9 inches wide to determine that 18 inches of the 42 inches are the wide sides. 42 - 18 = 24, so we divide 24 by how many long sides there are, 2. 24 ÷ 2 = 12. The box was 12 inches long.
Answer:
32
Step-by-step explanation:
The problem statement states that there are four card option two colored envelopes options and four sticker design options and as the greeting card constitutes of one type of card.one colored envelopes and one sticker design then the number of ways Jacqui arrange the greeting card sets can be calculated using the counting principle that is n1*n2*n3. So, the number of ways Jacqui arrange the greeting card sets can be calculated using the counting principle=4*2*4=32 different ways.
The solution to the division of the given polynomial expression is:
k = (x+3)(x-4)
<h3>Division of polynomials</h3>
The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.
From the information given:
Using the rational root theorem;
Factor: x² - x - 12
Cancel out the common factor (x-2)
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With the help of trigonometric function, the above problems have been calculated. See explanation below.
<h3>What are Trigonometric functions?</h3>
The term "trigonometric function" refers to functions that are periodic in nature and that shed light on how a right-angled triangle's angles and sides relate to one another.
The solutions to x in the respective problems is given as follows:
1) x = 5 /Sin(30°)
x = 10
!) Sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°)
= (3√3) / x
x = (3√3) / 3
W) In trigonometry, every right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse will always equal 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3
= 4√3 / 3
S) Sin(60°) = x / (10/3)
x = (5√3) / 3
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