Answer:
14
Step-by-step explanation:
Simplify the following:
5 - 2×9 + 9^2/3
Hint: | Evaluate 9^2.
9^2 = 81:
5 - 2×9 + 81/3
Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.
The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:
5 - 2×9 + 27
Hint: | Multiply -2 and 9 together.
-2×9 = -18:
5 + -18 + 27
Hint: | Evaluate 5 + 27 using long addition.
| 1 |
| 2 | 7
+ | | 5
| 3 | 2:
32 - 18
Hint: | Subtract 18 from 32.
| 2 | 12
| 3 | 2
- | 1 | 8
| 1 | 4:
Answer: 14
Answer:

Step-by-step explanation:
<u>Trigonometric Identities</u>

<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
Therefore, using the trig identities and ratios:

Answer: The piece of wood will be 23.2 in. long
Step-by-step explanation:
5.8 multiplied by 4 is 23.2
The 4C matrix is obtained when all elements of matrix C are multiplied by 4. It <span>has all the same elements as C, only multiplied by 4.
Let's analyze all matrices
A. Not all elements of A can be divided by 4 (3 can not be divided by 4, the solution is not a whole number).
B. All elements of matrix B can be divided by 4, which means that B is a $C matrix (there is a matrix C which multiplied by 4 gives the matrix B).
C. Not all elements of C can be divided by 4.
D. Not all elements of D can be divided by 4.
Solution: B
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