Answer:
.2 repeating
Step-by-step explanation:
if you are allowed to use calculators, then do so, if not, you're going to have to do a lot of division
The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
2sin(arctan(3/4))cos(arctan(3/4))
Let z = arctan(3/4) => tan(z) = 3/4
2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25
<span>cos(2t) = cos^2(t) - sin^2(t) = cos^2(z) - sin^2(z) = (4/5)^2 - (3/5)^2 = (16 - 9)/25
= 7/25
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
The solution of the equation are x = - 1 , y = 0 and z = 3
Step-by-step explanation:
Given three linear equation as :
6 x - y + z = - 3 ......A
4 x - 3 z = - 13 ......B
2 y + 5 z = 15 ......C
Solving eq A and C
I.e 2× (6 x - y + z ) = -3 ×2
or, 12 x - 2 y + 2 z = - 6
So, ( 12 x - 2 y + 2 z ) + ( 2 y + 5 z) = - 6 + 15
Or, 12 x + 7 z = 9 ......D
Solving eq B and D
I.e 3 × ( 4 x - 3 z ) = - 13 × 3
or, 12 x - 9 z = - 39
So, ( 12 x + 7 z ) - ( 12 x - 9 z ) = 9 + 39
or, 16 z = 48
∴ z = 
i.e z = 3
put the value of z in eq D
So, 12 x + 7×3 = 9
Or, 12 x = 9 - 21
or, 12 x = - 12
∴ x = - 
I.e x = - 1
Now, Put The value of z in eq C
or, 2 y + 5 z = 15
or, 2 y + 5 × 3 = 15
Or, 2 y = 15 - 15
or, 2 y = 0
∴ y = 0
Hence The solution of the equation are x = - 1 , y = 0 and z = 3 Answer
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
5.2v - (30 ÷ 6) + 12
<u>9) We need to determine which part of the expression represents a quotient?</u>
We know that when we divide one rational expression by another, the result would be termed as 'quotient'.
Here, it is clear that:
(30 ÷ 6) represents the expression part for a quotient.
When we divide 30 by 6, we get the result 5 which would be the quotient of the expression 30 ÷ 6.
10. Which part of the expression represents a product of two factors?
We know that when a multiply two number, we get the product. The multiplying numbers are the factors of the product.
For example, 4 × 9 = 36 therefore, 4 and 9 are the factors of 36.
In our case, 5.2v represents a product of two factors 5.2 and v. In other words, 5.2 and v are the factors of the product of 5.2v.
