Answer:
side c = 10.2
A = 52.6°
B = 37.4°
Step-by-step explanation:
c² = 8.1² + 6.2²
c² = 104.05
c = 10.20049018
Using cosine law:
8.1² = 10.2² + 6.2² - 2(10.2)(6.2)cos
cosA = 7687/11648
A = 52.57199409
A = 52.6°
B = 180 - 90 - 52.6 = 37.4°
Answer:
Volume = 80 in³
Step-by-step explanation:
The formula for volume of a pyramid is;
v=(A*h)/3
where
A=Area of triangular base
h=height of pyramid
Finding area of triangular base;
A=1/2*b*h
A=1/2*10*6=30 in²
Finding the volume
v=(A*h)/3
v=(30*8)/3=80 in³
Answer:
let total no. of red marbles be x and blue marbles be y.
then according to first case
x + y =36
or,x=36 -y.....(i)
in case second
x/5 =y/4
or,x=5y/4......(ii)
then from equation i and ii, we get
36-y = 5y/4
or, (36-y)4 = 5y
or, 144 -4y =5y
or, 144 = 5y + 4y
or, 144 = 9y
or, 144/9 =y
or, y = 16
again x = 36 -y
here , y =16
so,
x= 36 -16
x= 20.
hence total no. of red marbles is 20 and blue marbles is 16 .
If Carls removes 1 blue marble from bag, there will be 15 marbles in the bag,
20÷5 is not equal to 15 ÷3 .
correct ratio of red and blue marbles is 20÷15=
4/3.
Answer:
You will earn $483.55 in interest.
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$3,000 T - note with a 3% annual rate
This means that
Paid quarterly
Quarterly is 4 times per year, so
Maturity in 5 years.
This means that
How much interest will you earn?
Interest is the final amount subtracted by the principal.
Final amount:
A(5).
Interest:
$3,483.55 - $3,000 = $483.55
You will earn $483.55 in interest.