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Answer:
b = 28 degrees
Discussion:
In general,
sin (90 - @) = cos(@)
Set 90 [email protected] = 62 => @ = 28 so
sin (90-28) = sin(62) = cos(28) => b = 28
Thank you,
MrB
Answer:
6(y+1.5)=-18
6y+9=-18 -9
6y=-27 ÷6
y=-4.5
Step-by-step explanation:
prove me wrong
Answer with Step-by-step explanation:
We are given that
A and B are matrix.
A.We know that for two square matrix A and B
Then, 
Therefore, it is true.
B. det A is the product of diagonal entries in A.
It is not true for all matrix.It is true for upper triangular matrix.
Hence, it is false.
C.

When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.
Hence, it is false.
D.An elementary row operation on A does not change the determinant.
It is true because when an elementary operation applied then the value of matrix A does not change.
Answer:
Mark will make $80 if he works an eight-hour shift.
Step-by-step explanation:
For every six hour shift he works, Mark makes $60
This implies that for every hour, he makes $10 ($60/6)
Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).
We can conclude that Mark's employer pays him $10 per hour.
This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.
Answer:
- using the rule given: 2.5
- using an exponential rule: 7
Step-by-step explanation:
Evaluating the linear rule given, for n = 1, we have ...
a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5
_____
We suspect you may intend the exponential function ...
an = 7(1/2)^(n-1)
Then, for n = 1, we have ...
a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7
_____
When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.