Answer:
sinΘ = 
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract cos²x from both sides )
sin²x = 1 - cos²x ( take square root of both sides )
sinx = ± 
given
cosΘ = -
, then
sinΘ = ± 
= ± 
= ± 
= ± 
since Θ is in quadrant II where sinΘ > 0 , then
sinΘ = 
Answer:
12.8
Step-by-step explanation:
Here multiplication is done before addition.
Given
4.8 × 2 + 3.2 ← perform multiplication
= 9.6 + 3.2 ← perform addition
= 12.8
Answer: I need help
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°.
STEP 1:
find the value of x
x= smaller angle
10x + 48= larger angle
Add the two angles above to equal 180.
x + (10x + 48)= 180
combine like terms
11x + 48= 180
subtract 48 from both sides
11x= 132
divide both sides by 11
x= 12° smaller angle
STEP 2:
find the value of the second angle
=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle
CHECK:
12° + 168°= 180°
180°= 180°
ANSWER: The smaller angle is 12° and the larger angle is 168°.
Hope this helps! :)
Answer:
8x²+6x+12xy+9y
Step-by-step explanation:
⇒(-2x - 3y)(-4x - 3)
⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)
⇒8x²+6x+12xy+9y