The measurement of the given angle is 30 degree.
Here we use trigonometric ratio rule which is sin theta= opposite/hypotenuse
Here theta = 30 degree, opposite =7 and hypotenuse =a
So we get
sin 30 = 7/a
a= 7/sin 30
And value of sin 30 = 0.5
So we get , a = 7/0.5 = 14
So the value of a is 14 .
Answer:
a
Step-by-step explanation:
the green figure is the same as the blue figure.
Answer:
a) $1199.10
b) interest: $1000.00
c) principal: $199.10
Step-by-step explanation:
a) The monthly payment can be found using a financial calculator or using the amortization formula:
A = P(r/12)/(1 -(1+r/12)^(-12t))
for Principal P, annual interest rate r, and time t years.
Filling in the given values and doing the arithmetic yields ...
A = $200,000(0.06/12)/(1 -(1+0.06/12)^(-12·30)) = 1000/(1 -1.005^-360)
A ≈ $1199.10
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b) The first month's interest is the monthly interest rate times the initial loan balance:
= (0.06/12)·(200,000) = 1000.00 . . . . dollars in interest
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c) The first month's payment to principal is the difference between the payment amount and the amount to interest:
$1199.10 -1000 = $199.10 . . . . . first month's payment on principal
Answer:
1. P(5 U 6) =2/3
2. P(2 U 5 U 6) = 5/6
3. P(1 U 2) = 1/3
4. P(4) = 0
Step-by-step explanation:
As the number cube has 6 sides,
So,
Total outcomes = {1,2,5,5,6,6}
n(S) = 6
Now,
1. P(5U6) = P(5) + P(6)
P(5)=2/6=1/3
P(6)=2/6=1/3
P(5U6)= 1/3 + 1/3 = 2/3
2. P(2 U 5 U 6) = P(2) + P(5) + P(6)
P(2)=1/6
P(5)=2/6
P(6)=2/6
P(2 U 5 U 6) = 1/6 + 2/6 + 2/6
= 5/6
3. P(1 U 2) = P(1) + P(2)
P(1) = 1/6
P(2)= 1/6
P(1 U 2) = 1/6 + 1/6
= 2/6 = 1/3
4. P(4) = 0
As 4 is not in the outcomes, it's probability will be zero ..
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