Remark
In order to solve for the Cos(x), you need to find the missing side. You can do that by finding the Sin(x) first and then the Cos of x or you can just use the Pythagorean theorem. I'm going to do the latter.
Formula
a^2 + b^2 = c^2
Givens
a = ???
b = 32
c = 58
Sub and solve
a^2 = ???
b^2 = 1024
c^2 = 3364
a^2 + 32^2 = 58^2
1024 + a^2 = 3364 Subtract 1024 from both sides.
a^2 = 3364 - 1024
a^2 = 2340 Take the square root of both sides.
sqrt(a^2) = sqrt(2340) Break a into its prime factors.
a = sqrt(2 * 2 * 5 * 3 * 3 * 13)
Rule
For every pair of equal factors, one can be brought outside the root sign and the other is discarded.
a = 2 * 3 * sqrt(5*13)
a = 6 sqrt(65)
The cos of an angle = opposite / hypotenuse.
Cos(x) = 6*sqrt(65) / 58 <<<<< This should be the answer
If you are offered choices, you should list them
Another choice would be 6*8.0623 / 58 = 0.8340 <<<<< Answer
Answer:
4/5
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Hello ,
there are 12 combinations
num x y z
1 0 1 2
2 0 3 1
3 0 5 0
4 5 0 2
5 5 2 1
6 5 4 0
7 10 1 1
8 10 3 0
9 15 0 1
10 15 2 0
11 20 1 0
12 25 0 0
DIM x AS INTEGER, y AS INTEGER, z AS INTEGER, k AS INTEGER
'OPEN "c:\nosdevoirs\monnaie.sol" FOR OUTPUT AS #1
k = 0
FOR x = 0 TO 25
FOR y = 0 TO 5
FOR z = 0 TO 3
IF x + 5 * y + 10 * z = 25 THEN
k = k + 1
PRINT k, x, y, z
' PRINT #1, k, x, y, z
END IF
NEXT z
NEXT y
NEXT x
'CLOSE #1
END
Answer:
The answer to your question is x = 36, y = 11
Step-by-step explanation:
Data
there are 2 numbers
their sum is 47
one is larger by 25
x is the larger
y is the smaller
Process
1.- Write two equations that help to solve this problem
x + y = 47 Equation l
x = y + 25 Equation ll
2.- Solve the system of equation by substitution. Substitute Equation ll in equation l
(y + 25) + y = 47
-Solve for y
y + 25 + y = 47
2y = 47 - 25
2y = 22
y = 22/2
y = 11
- Find x, substitute y in equation ll
x = 11 + 25
x = 36