Answer:
27.84 m² , 42.48 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Shape A
has b = 9.6 and h = 5.8, then
A = 0.5 × 9.6 × 5.8 = 27.84 m²
Shape B
has b = 11.8 and h = 7.2 , then
A = 0.5 × 11.8 × 7.2 = 42.48 m²
Answer:
The number of same-day tickets sold is 15
The number of advance ticket sold is 20
Step-by-step explanation:
Given as :
The cost of each Advance ticket = $35
The cost of each same-day ticket = $30
The total cost of the tickets sold = $1150
The total number of tickets sold = 35
Let The number of advance ticket sold = a
And The number of same-day ticket sold = s
Now, According to question
The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold
I.e a + s = 35 .....A
The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold
I.e $35 a + $30 s = $1150
or, 35 a + 30 s = 1150 .......B
Now, solving eq A and B
35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150
or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150
or, 0 + 5 s = 75
∴ s =
I.e s = 15
So, The number of same-day tickets sold = s = 15
Put the value of s in Eq A
So, a + 15 = 35
∴ a = 35 - 15
I.e a = 20
So, The number of advance ticket sold = a = 20
Hence The number of same-day tickets sold is 15
And The number of advance ticket sold is 20 Answer
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>