Answer:
D. sin m∠C = 2 square root of 5 all over 5
Step-by-step explanation:
The triangle ABC is a right angled triangle. The angle ∠C is where we are asked to find. The side AB measures 6 , AC measures 3 and the side BC measures 3√5.
The longest side of a right angle triangle is the hypotenuse, that means the side with length 3√5 is the hypotenuse.
Therefore side BC is the hypotenuse side and we are asked to find the angle C. AB is the opposite side while AC is the adjacent side.
Using
sin C = opposite/hypotenuse = 6/3√5 = 2/√5 = 2√5/5
cos C = adjacent/hypotenuse = 3/3√5 = 1/√5
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
Answer:
approx 15%
Step-by-step explanation:
Allison puts $250 down and following that she makes 12 monthly payments of $124.49. The sum of her payments (total cost) is thus $250 + (124.49/month)(12 months) = $1743.88
The total interest she pays is $1743.88 - ($124.49/month)(12 months), or
$250
We use the simple interest formula: i = prt, where t is the number of years, and r is the interest rate as a decimal fraction:
$250 = $1599.99*r*1.
$250
Solving this for r by division, we get r = --------------- = 0.1463, or approx 15%
$1599.99
Let x,x+2,x+4,x+6 be 4 consecutive no then,
sum of first 3 no=4x+12
According to condition,
20 less than 5 times 4th= 4 more than sum of 1st,2nd and 3rd
5(x+6)-20=4+(sum of first 3 no)
5(x+6)-20=4+(4x+12)
5(x+6)-20=4x+16
5x+30-20=4x+16
5x+10=4x+16
5x-4x=16-10
x=6
So,
1st no=x=6
2nd no=x+2=8
3rd no=x+4=6+4=10
4th no=x+6=6+6=12
Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x
then,
Only (c)=n(c)-n(cnp)
16=0.6x-n(cnp)
n(cnp)=0.6x-16
again,
n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement
x=x/5+16+0.6x-16+8
5x=x+3x+40
x=40
n(cnp)=0.6x-16=0.6×40-16=8
Step-by-step explanation:
