Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
9514 1404 393
Answer:
(a) $133.88
Step-by-step explanation:
The addition of tax multiplies the purchase price by 1+6.45% = 1.0645. The payment of the down payment means the loan amount will be only 1-10% = 0.90 times the amount with tax. So, the loan amount is ...
$22,359(1.0645)(0.90) = $21,420.08
The loan is a secured loan (secured by the vehicle). So, the interest charged is that for a poor credit rating: 7.5%.
One month's interest is ...
I = Prt . . . . . interest on principal P at rate r for t years (1 mo = 1/12 yr)
I = $21,420.08(0.075)(1/12) = $133.88
Answer:
y-1=7(x-0)
Step-by-step explanation:
The line perpendicular to y=-1/7+1 is y=7+1 because you find the reciprocal of the slope.
Then find one point on the line since the equation has a y intercept just use (0,1) and put that into point slope
To eliminate the i in the denominator, you multiply it by (6+5i), because (a+b)(a-b)=a²-b², we need i² to eliminate i. Recall that i²=-1
-1(6+5i)/(6-5i)(6+5i)=(-6-5i)/[6²-(5i)²]=(-6-5i)/(36-25i²)=(-6-5i)/61
your choices are all correct. You need to check the 7th answer as well.