Domain (-infinity,infinity)
Min(?
max(2,2)
Answer:
A. √3 : 2
D. 3√3 : 6
Step-by-step explanation:
In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°
The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit
The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units
From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side
This is to say if;
The given the shorter leg = 1 unit
The hypotenuse is twice the shorter leg= 2 units
The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg
where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;
<u>Hence the summary is</u>
a=shorter leg= 1 unit
b=longer leg = √3 units
c=hypotenuse=2 units
The ratio of longer leg to its hypotenuse is
=√3:2⇒ answer option A
This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A
Answers are :option A and D
Answer:
3
Step-by-step explanation:
3*3=9
1*3=3
Answer:
First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.
2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.
To multiply monomials together, multiply the number parts together and multiply the variables together.
Here are the 3 examples above solved:
2x × 5x = 10x²
2x²y × 3xy² = 6x³y³
ab² × 4b³ = 4ab^5
To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.
Example:
(2x² + 3x - 8)(4x³ - 5x²) =
= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)
= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²
= 8x^5 + 2x^4 - 47x³ + 40x²
This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.
Answer:
22.1 inches
Step-by-step explanation:
The shadow is formed at a specific factor of the original image hence if a 5 feet tall man casts a shadow rhat is 4 1/3 feet long then a telephone pole casts a shadow that is 25.5 feet long must have a length
5 / 4 1/3 = x / 25.5
where x is the length of the pole
5 / 13/3 = x/ 25.5
15/13 = x/25.5
cross multiply
15 * x = 13 * 25.5
Divide both sides by 15
x = 13 * 25.5 / 15
x = 22.1 inches
The telephone pole in inches is 22.1 long
