<h2>
Answer:</h2><h2>
The height of the triangle = 4cm</h2>
Step-by-step explanation:
Given, area of the triangle = 10 
Let the height of the triangle be h cm
Given, the base b is 3 cm less than twice its height.
b = 2h - 3 ... (1)
By formula, area of the triangle =
bh .. (2)
substitute (1)in (2), we get
Area =
(2h-3) h
10 =
(2h-3) h
20 = 
- 20 = 0
solving the equation, we get x = 4, -2.5
The height of the triangle = 4cm
Answer:
a. Arithmetic
b. 
c. 
Step-by-step explanation:
A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.
In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️
The recursive formula will be the following: 
The explicit formula is the following: 
Answer:
Step-by-step explanation:
First put the lower limit, i.e., x=0,
F(x)=8cos[2(0)]=8cos(0)=8(1)=8
;cos(0)=1
Now,put the upper limit of given interval, i.e., x = π,
F(x)=8cos[2(π)]=8cos(2π)=8(1)=8
;cos(2π)=1

Using cross multiplication method,
x -12 -12x
x 2 2x

-24 -10x
Therefore,

=3(x-12)(x+2)
44 Stamps. 5.55/0.15 = 37 stamps. 37 + 7 = 44. 44 Stamps.