Answer:
18
Step-by-step explanation:
bc 8 digits in the ones place, and less than 21 greater than 15
Let
x---------------> distance from people living to the city center
we Know that
Zone 1 covers people living within three miles of the city center
Zone 1 ------------> [x < 3 miles]
Zone 2 covers those between three and seven miles from the center
Zone 2 ------------> [ 3 <= x < = 7 miles]
Zone 3 covers those over seven miles from the center
Zone 3 ------------> [ x > 7 miles]
<span>calculate the distance between two points to find the value of x
</span>
case A) point (0,0) point (3,4)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(4-0)² +(3-0)²]------> √[16+9]
x=√25-------------> x=5 miles
the answer Part A)
people living in (3,4)
x=5 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]
case B) point (0,0) point (6,5)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(5-0)² +(6-0)²]------> √[25+36]
x=√61-------------> x=7.81 miles
the answer Part B)
people living in (6,5)
x=7.81 miles -------------> covers Zone 3 [ x > 7 miles]
case C) point (0,0) point (1,2)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(2-0)² +(1-0)²]------> √[4+1]
x=√5-------------> x=2.23 miles
the answer Part C)
people living in (1,2)
x=2.23 miles -------------> covers Zone 1 [ x < 3 miles]
case D) point (0,0) point (0,3)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(3-0)² +(0-0)²]------> √[9]
x=√9-------------> x=3 miles
the answer Part D)
people living in (0,3)
x=3 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]
case E) point (0,0) point (1,6)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(6-0)² +(1-0)²]------> √[36+1]
x=√37-------------> x=6.08 miles
the answer Part E)
people living in (1,6)
x=6.08 miles -------------> covers Zone 2 [ 3 < = x <= 7 miles]
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A = 
, tanA = 
, cscA = 
, secA = 
Consider the right side
= 
= 
= 
× sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified
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.
Reshma's age = x
Reshma = x + 5
Reshma's father= 3x + 5
x + 5 + 3x + 5 = 70
4x + 10 = 70
4 x = 60
x = 15
So Reshma's age currently is 15 and 3(15), which is 45, is her father's age.
