The angle is in the second quadrant so only the sine is positive .
Length of the hypotenuse = sqrt (-1^2 + 3^2) = sqrt10
sine = 1/sqrt10 = 0.3162 to 4 dec places
tangent = 1 / -3 = -0.3333 to 4 d p's
cosine = -3/sqrt10 = -0.9487 to 4 d, p's.
Answer:
15°
Step-by-step explanation:
AB is parallel to DC and AD is parallel to BC
Therefore, if you put Angle D and Angle C together it must form 180°
If Angle C = 120°, that means Angle D = 60°
Now you subtract 45 from 60 and that gives you 15.
You can multiply either the top or bottom equation by -1 so lets say you apply it to the bottom equation it’ll look like this:
-9x + 9y = 18
6x - 9y = 12
then the +9y and -9y will cancel out
-9x = 18
6x =12
then you add the two equations together
-3x = 30
divide both sides by -3
x = -10
Answer:
11 °C
Step-by-step explanation:
- Initial temperature = 6 °C
- Final temperature = - 5°C
- Change in temperature
= 6 - (-5)
= 6 + 5
= 11 °C
Hope it helps you in your learning process.
Answer:
Jelly beans: $6 for 1 kg
Gummy worms: $7 for 1 kg
Step-by-step explanation:
In this question, we need to find the cost of 1kg of jelly beans and gummy worms.
To do this, make equations for both scenarios and solve:
2j + 2g = 26
2j + 3g = 33
Turn the bottom equation negative, as we will first solve for gummy worms (g).
2j + 2g = 26
-2j - 3g = -33
Solve:
-g = -7
Divide both sides by -1.
g = 7
We now know that gummy worms cost $7 for 1 kg
To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:
2j + 2(7) = 26
2j + 14 = 26
Subtract 14 from both sides.
2j = 12
Divide both sides by 2.
j = 6
Jellybeans cost $6 for 1 kg.
Check answer by plugging in values to one of the equations:
2(6) + 2(7) = 26
12 + 14 = 26
26 = 26
