Step-by-step explanation:
you know the formulas ?
the area of a circle is : pi×r²
the circumference of a circle is : 2×pi×r
with r being the radius, which is half of the diameter.
so, here, r = 10/2 = 5 m
area = pi×r² = pi×5² = pi×25 or 25×pi m²
circumference = 2×pi×r = 2×pi×5 = 10×pi m
for the approximation we make the calculations with pi on the calculator and round to the nearest hundredth.
area = 25×pi ≈ 78.54 m²
circumference = 10×pi ≈ 31.42 m
Answer:
Step-by-step explanation:
The binomials are multiplied in the usual way, using FOIL or the distributive property:
(5 -2i)(3 -4i) = 15 -20i -6i +8i²
Since i² = -1, this becomes ...
= 15 -20i -6i -8 = 7 -26i
Answer:
The total interest to pay back on the loan is $122.40
Step-by-step explanation:
Here. we want to get the amount of interest on the loan
We are going to use the compound interest formula here
A = P(1 + r/n)^nt
where A is the amount to be paid back
P is the amount borrowed called the principal which is $1,500
r is the interest rate which is 4% annually
This is same as 4/100 = 0.04
n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1
t is the number of years = 2
So we have;
A = 1500(1 + 0.04/1)^(2)(1)
A = 1500(1.04)^(2)
A =$ 1,622.40
So the amount of interest is the difference between the amount borrowed and the value to pay back
That will be;
$1,622.40 - $1,500
= $122.40
Answer:
Step-by-step explanation:
Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)
a)quotient property
b)power property
c)change of base rule
d)product property
Answer:
angle 1 is 90 degrees because of the kite theorem:
THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.
angle 2 is 58 degrees because 180-90-32=58 degrees
Step-by-step explanation: