Answer:
= 0.419
Step-by-step explanation:
in pic
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Simplified ratio
30: 1
1: 1/30
The <u>comparison</u> and <u>contrast</u> between a square and an <em>equilateral triangle</em> are stated and explained below:
What is a <u>square</u>? A <u>square</u> is a <em>plane shape</em> with an equal length of sides. This implies that the <em>measure</em> of its length is the same as that of its <u>breadth</u>.
What is an equilateral triangle? A <em>triangle</em> is a <em>plane shape</em> with<u> three </u>sides, and a <em>sum </em>of its <u>internal</u> angles to equal
. Thus an <em>equilateral triangle </em>is a type of triangle with <em>equal lengths of sides</em>, and therefore equal internal angles.
<u>Comparison</u>: i. The two shapes have <em>equal lengths</em> of sides.
ii. An equilateral triangle and a square are examples of <u>plane shapes</u>.
<u>Contrast</u>: i. An equilateral triangle has<em> three sides</em>, while a square has <em>four sides</em>.
ii. An equilateral triangle has <em>three internal angles</em>, while a square has <em>four internal angles</em> which are right angles.
iii. The sum of <u>internal </u>angles of an equilateral triangle is
, while that of a square is
.
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Answer: Solve for a: a = 
Solve for n: 
Step-by-step explanation:
solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.
solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.
The correct match for each leading coefficient will be as below:-
1. ⇒ b ⇒ 8
2. ⇒ d ⇒ 4
3. ⇒ e ⇒ 40
4. ⇒ c ⇒ - 8
5. ⇒ a ⇒ 2
<h3>What is a polynomial?</h3>
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The leading coefficient of the polynomial is defined as the coefficient of the variable having the highest power in the polynomial.
For the given polynomials calculate the highest power variable in each polynomial with the coefficient.
1.
P(x) = (x + 2) (2x - 3) (4x +7):
P(x) = 8x³
2.
P(x) = 1/2(x - 2) (2x - 3) (4x + 7):
P(x) = 4x³
3.
P(x)= 5(x - 2) (2x - 3) (4x + 7):
P(x)= 40x³
4.
P(x) = -(x - 2) (2x - 3) (4x + 7):
P(x) = -8x³
5.
P(x) = 1/4(X + 2) (2x - 3) (4x + 7):
P(x) = 2x³
Therefore, the leading coefficients are 8, 4, 40, -8, and 2 respectively.
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