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:
Step-by-step explanation:
6x+25=10x-47
16x -22
(6x + 10x) + (-47 +25)
The answer is D. 2x - 4/x^2- 4
Step-by-step explanation:
sin theta = 12/13
cos theta = 5/13
tan theta = 12/5
cosec theta = 13/12
sec theta = 13/5
cot theta = 5/12
Answer:
125π km³
Step-by-step explanation:
We are to find the Volume of a cylinder
From the question:
Height of the cylinder = 5km
Radius of the cylinder = 5 km
The volume of a cylinder =
πr² h
Hence:
π × 5² × 5
= 125π km³
The volume of the cylinder = 125π km³
Option d is the correct option
