Answer:
37.6
Step-by-step explanation:
x² = a² + b² - 2ab cos 140°
x² = 20² + 20² - 2(20)(20)(-0.766)
x² = 400 + 400 - 800(-0,766)
x² = 800 - (-612.835)
x² = 800 + 612.835
x² = 1412.835
x =√1412.835 = 37.6
Answer:
Karen has 6 quarters and 2 dimes
Step-by-step explanation:
Let
x ----> the number of quarter coins Karen has
y ----> the number of dimes coins Karen has
Remember that

we know that
<em>Equation that represent the amount of coins Karen has</em>

isolate the variable y
----> equation A
<em>Equation that represent the value of coins Karen has</em>
----> equation B
Solve the system of equations by substitution
substitute equation A in equation B

solve for x




<em>Find the value of y</em>
----> 
therefore
Karen has 6 quarters and 2 dimes
Answer:
6x - 4
Step-by-step explanation:
Cross out the 3 in the denominator and the 9, which simplifies to 2 times 3x, which is 6x. For the second part, cross out 3 in the denominator and -6, which becomes 2 times (-2), which is -4.
D - 10 - 2d + 7 = 8 - 10 - 3d
- d - 3 = - 2 - 3d
2d - 3 = - 2
2d = 1
d = 1/2
Hope this helps.
The properties are the commutative, associative, additive identity and distributive properties