Angle C is π - (π/4) - (π/3) = 5π/12. The Law of Sines tells you
... a/sin(A) = c/sin(C)
... a = sin(A)·c/sin(C)
... a = sin(π/4)·10/sin(5π/12) ≈ 7.32
The length of the side opposite angle A is about 7.32.
Answer:
Step-by-step explanation:
Answer:
a.) 1908.30
b.) 96373.15
c.)302491.15
unrounded answers below
Step-by-step explanation:
The amount that is to be loaned out is 380000-110000=270000
The effective montly rate is .07/12=.005833333
a.)
b.)
use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)
c.)
total paid= 1908.303833*12*25=572491.1499
amount of loan: 270000
Total interest paid:
572491.1499-270000=302491.1499
The distributive property applies.
x + 2x + 13x = (1 + 2 + 13)x = 16x
Answer:
37 in (to the nearest inch)
Step-by-step explanation:
Assume the TV is rectangular ⇒ each corner is a right angle.
We need to find the length of the diagonal, so we can use Pythagoras' Theorem a² + b² = c² where a and b are the legs and c is the hypotenuse (diagonal) side of a right angled triangle.
In this diagram, a and b are the height and width, and the diagonal (c) is the hypotenuse.
Therefore, if a = 18 and b = 32 then:
18² + 32² = c²
324 + 1024 = c²
c² = 1348
c = √(1348)
c = 36.7151195...
c = 37 (rounding up to the nearest integer)
Therefore, the diagonal distance is 37 in (to the nearest inch)