-5y^2 + 2y + 2 = 0
y = -2 ± ✓4 - 4*-5*2. /. -10
y = -2 ± ✓44. / -10
y = -1 ± ✓11. / -5
(-1+✓11)/-5. and (-1-✓11)/-5
Answer:
Nollie told the police that Annaliese was a Jew
Step-by-step explanation:
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Answer:
<h2>In this particular case,the target population of interest to the university administration constitutes the university students.</h2>
Step-by-step explanation:
- The university administration is interested to conduct a statistical study to identify the average or mean time taken by the students to find a vacant parking spot.
- Therefore,the research topic here is the average time taken by the university students to find parking spot. The administrator collects an inconspicuous sample of 240 samples from the target population of the study,which is the overall student population of the university.
- The sample collected by the university administration is used to observe the average or mean parking time by the university students.