Answer:
x = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle
sin 45 = opp side/ hypotenuse
sin 45 = 8/x
Multiply each side by x
x sin 45 = 8/x *x
x sin 45 = 8
Divide each side by sin 45
x sin 45 /sin 45 = 8 /sin 45
x = 8 / sin 45
We know sin 45 = 1/ sqrt (2)
x = 8 / 1 / sqrt(2)
x = 8 sqrt(2)
Wait, can you see the diagram?
Answer:
522
Step-by-step explanation:
516 divided by 9 is 57.34
she would need 522 pennies and she would end up with 9 stacks of 58 pennies
1.a. correct
1.b. 
1.c. correct
1.d. 
2.a. 7 - x + 3w - 9
Terms: 7, -x, 3w, -9
Variables: x, w
Coefficients: -1, 3
Constants: 7, -9
2.b. -g + 8k - 3 - 7
Terms: -g, 8k, -3, -7
Variables: g, k
Coefficients: -1, 8
Constants: -3, -7
3.a. correct
3.b. correct
3.c. -5+ 4x = -x
4.a. 4(2x + 3) = 8x + 12
4.b. -2(3x + 4) = -6x - 8
4.c. -5(2x - 3) = -10x + 15
Answer:
It would be either -5/5 or -1