Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula
we have
----> altitude
substitute
step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula
we have
---> because is an isosceles triangle
substitute
step 3
Adds the areas
Answer:
Number of the peoples were satisfied with the career guidance are 300 .
Step-by-step explanation:
Formula
As given
A survey with a two-point scale was conducted in an organization.
It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.
If 2,000 people participated in the survey.
Total value = 2000
Percentage = 85%
Putting all the values in the formula
Part value = 1700
i.e
People not satisfied by the career guidance = 1700
People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .
Putting the values in the above
= 2000 - 1700
= 300
Therefore the number of the peoples were satisfied with the career guidance are 300 .
Answer:
0.2
Step-by-step explanation:
3/15=0.2
You can convert them to decimals and multiply. Remember when using decimals, it is over 10 or 100 <span />
Answer:
9y(2x - 1)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term
= 9y(2x³ - x² - 8xy² + 4y²)
Factor the first/second and third/fourth term in the parenthesis
= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term
= 9y(2x - 1)(x² - 4y²)
x² - 4y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y), hence
18x³y - 9x²y + 72xy³ + 36y³
= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form
