Answer:
96.
Step-by-step explanation:
If the remainder is 0 when dividing by 6 the number must be a multiple of 6.
There is no 2 digit number ending in 9 divisible by 6 because that number is odd. So 9 must be the first digit.
The only number it can be is 96.
Let 4sinx + 3cosx = R sin(x + a) = Rsinxcosa + Rcosxsina
equating coefficients of sinx and cosx:-
RcosA = 4 ......(1)
RsinA = 3.......(2)
So
tan A = 3/4 and A = 36.87 degrees
Find R by squaring and adding (1) and (2)
25 = R^2
R = 5
so we have 5sin(x + 36.87) = 2
sin (x + 36.87) = 0.4
x + 36.87 = arcsin 0.4 = 23.58 degrees
x = - 13.29 degrees
answer is 346.7 degrees
Answer:
the asnwer is p is less than or equal to -6.
Step-by-step explanation:
The reasonfro that is becuase when u have a negative variable you have to divide both sides by a negative, which will flip the symbol making it less than in this case rather than greater than. Hope this works mark as brainliest pls
Answer:
Riley will earn interest of $1706.86 in 15 years. But when the same problem solved for interest compounded annually we get,
c)1663.90
The options does not match with answer
Step-by-step explanation:
Given
principal amount P = $ 1000
rate of interest r = 6.75 % = 6.75/100 =0.0675
time t = 15
compounded semi annually, hence
no. of times interest is compounded, n = 2
We know that the formula for deriving final amount (A) is
A = P
Substituting the known values , we get
A = 1000 x
= $2706.86
Hence the interest earned = A - P
= $2706.86 - $ 1000
= $1706.86
The answer is $1706.86
But when the same problem solved for interest compounded annually we get, n=1 and so
A = 1000 x
= 2663.90
Hence interest earned = $2663.90 - $ 1000
= 1663.90
Answer:
14.91g/ ml
Step-by-step explanation:
Answer:
Step-by-step explanation:
Weight of honey= (703.55g - 345.8g)
= 357.75g
But
Density= mass/ volume
Mass of honey= 357.75g
Volume of honey=24ml
If we substitute the values, we have
Density=(357.75g/24ml)
=14.91g/ ml
Hence, the density honey in g/ml is =14.91g/ ml