Answer:
tan θ = 
Step-by-step explanation:
We are given that cot θ = 1.5 and cotangent is the cofunction of tangent.
cot θ = 
tan θ = 
We can find the answer to tan θ by taking the reciprocal of the answer to cot θ.
cot θ = 1.5
Then, tan θ = 
Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Answer:
JK ≈ 63 units
Step-by-step explanation:
Using the sine ratio in the right triangle
sin44° =
=
=
( multiply both sides by 90 )
90 × sin44° = JK , that is
JK ≈ 63 ( to the nearest whole number )
Answer:
m = -21
Step-by-step explanation:
9+m/3=2
1. Subtract 9 from both sides
9 - 9 + m/3 = 2 - 9
m/3 = -7
2. Multiply both sides by 3
3 (m/3) = -7 (3)
m = -21