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: 1053
Step-by-step explanation: ...............................
Answer:2034.7
Step-by-step explanation:
The equation is pi •r^2•h
R=6
H=18
Answer:
A student makes money by watching the neighbors' dog. The situation is modeled in the graph below. Money Made 130 120 110 100 90 80 Fee (dollars) 70 60 50 40 30 20 10 0 1 2 3 7 8 9 4 5 6 Time (days) 10 Select the statement that describes the relationship between the amount of money the student makes and time in days. The student charges $11 plus an additional $20 per day, The student charges $20 plus an additional $11 per day. The student charges $20 plus an additional $10 per day.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given functions are:
We have to find:
(s.t)(x) => this means we have to multiply the two functions to get the result.
So,
Also we have to find
(s-t)(x) => we have to subtract function t from function s
Also we have to find,
(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x
Putting x = -3
Hence,
