Answer:
53.13⁰
Step-by-step explanation:
Use sine:
sinθ=opposite/hypotenuse
sin∠A=4/5
∠A=sin⁻¹(0.8)=53.13010235415≈53.13⁰
Answer:
= 1+2n and 63
Step-by-step explanation:
the question belongs to arithmetic sequence and can be determined by the formula
= a1 + d (n-1)
Let " " represents the number of band members in the nth row
and 'd' represents the common difference.( as stated each row has 2 more band members than the row before it)
therefore, d=2
'a1' represents first row that has three members. So, a1 = 3
->Rule for nth term will be:
= 3 + 2(n-1)
= 3 + 2n -2
= 1+2n
-> In order to find total number of band members '
'
Let 
represent total number in n rows
We'll use the formula, i.e = n/1 (
+ )
where, n is the number of terms, is the first term and is the last term
So,
n=7
= 1 + 2(7)= 15
=> = 7/2 (3 + 15)
= 63
The total number of band members are 63
Answer:
N(t) = 0.188t + 22.76
Step-by-step explanation:
Number of licensed drivers in 2004 = 22.76 million
Number of licensed drivers in 2009 = 23.7 million
Number of licensed drivers, N as a function of t since year 2004 ;
General form of a linear function :
y = mx + c
c = intercept ; m = slope
Intercept c = value of y ; when x = 0
Here, population after uerssmmx,
Hence,
In 2004 ;
22.76 = mx + c
x = 0
22.76 = c
Number in 2009
x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years
We can find the slope :
y = m*5 + 22.76
y = 23.7 in 2009
23.7 = 5m + 22.76
23.7 - 22.76 = 5m
m = 0.94 / 5
m = 0.188
Hence, the linear function can be written as :
N(t) = 0.188t + 22.76
Then 70% of volcanos wouldn't be in California.
