Answer:
<h2>height = 12 cm</h2>
Step-by-step explanation:
Area of a triangle is given by
where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's
Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
<h3>height = 12 cm</h3>
Hope this helps you
Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-
, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get
[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03
Answer:
Step-by-step explanation:
Answer:
8cm and 9cm
Step-by-step explanation:
8cm and 9cm would be the two possible lengths for the triangle because for the triangle to work you need the other two other sides when added together needs to be greater then 13. Furthermore 5 + 8 = 13 and as 13 is the same length as the one side that is given, a triangle couldn't possibly be formed as it would just be a straight line. Moreover, this is the same with 6 + 7 which is also 13. 7 + 2 is 9 and because 9<13 a triangle couldn't possibly be formed. Finally, 8 + 9 which equals to 17 are the only two possible lengths for the triangle as 17 > 12.
Answer:
yo soy inteligente
Step-by-step explanation:
pero no me se la respuesta de la perunta
