Answer:
x = 42 degrees.
Step-by-step explanation:
We see a cyclic quadrilateral, so by the cyclic quadrilateral theorem we notice that the angle marked with x degrees is equal to the angle marked with 42 degrees. Hence, x = 42 degrees.
Note the hundredth place value (underlined and bolded):
9.3<u>7</u>5
Look at the number to the right of the hundredth place value. It is a 5. Because you round up if the number is 5 or greater, you round up in this case (you round down if it is 4 or less).
9.375 rounded to the nearest hundredth is 9.38
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Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
answer:
x < 44
step-by-step explanation:
- solve this like an equation
<u>3/4x < 33</u>
- in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number
3/4x < 33
3/4x(4) < 33(4)
3x < 132
x < 44
Rational:5,737…..
Irrational:9
