The value of x will be 7000 for the expression 12 % x = 840.
We are given a number x.
We are also given as 12 % of x is 840
writing it in the form of an expression, we get that:
12 % x = 840
12 / 100 × x = 840
12 x = 84,000
Dividing both sides by 12, we get that:
12 x / 12 = 84,000 / 12
x = 7000
Therefore, the value of x will be 7000.
Learn more about an expression here:
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Answer:
-6
Step-by-step explanation:
2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =
Follow the correct order of operations.
Do one step at a time and copy everything else each time, so you don't lose track of any operation.
= 2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]
= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]
= 2 - [6 ÷ 2 + {3 + 2}]
= 2 - [6 ÷ 2 + 5]
= 2 - [3 + 5]
= 2 - 8
= -6
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
Answer: B
Step-by-step explanation:
The domain of a function is the set of x-values.
Both 8,15,17 and 15,20,25 will form a right triangle
If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle
