Answer:
See below.
Step-by-step explanation:
So, Nikki earns $12 per hour.
And she also earns a 5% or 0.05 commission of her total sales each day.
On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.
Thus:
Where x represents Nikki's total sales on Saturday.
Further notes:
To solve, subtract 96 from both sides and divide by 0.05:
Thus, her total sales that day were $860.
Answer:
1. For quadrilateral ABCD:
AB = AD = 2.7, BC = DC = 3.2, and AC = 3.168
<BAC = <DAC , <ABC = <ADC =
, and <ACB = <ACD =
2. For quadrilateral ABCE:
AB = EC = 2.7, BC = AE = 3.2, and AC = 3.168
<BAC = <ACE , <ABC = <AEC =
, and <ACB = <EAC =
Step-by-step explanation:
Applying the Cosine rule to triangle ABC,
=
+
- 2/AB/ x /BC/ Cos B
= +
- 2 x 2.7 x 3.2 Cos 64.3
= 7.29 + 10.24 - 17.28 x 0.4337
= 17.53 - 7.49434
= 10.03566
AC =
= 3.168
Applying the Sine rule,
=
=
So that:
=
=
Sin A =
=
= 0.9102
⇒ A = 0.9102
=
But sum of angles in a triangle is , so that;
A + B + C =
65.5 + 64.3 + C =
129.8 + C =
C = - 129.8
C =
1. For quadrilateral ABCD:
AB = AD = 2.7, BC = DC = 3.2, and AC = 3.168
<BAC = <DAC , <ABC = <ADC =
, and <ACB = <ACD =
2. For quadrilateral ABCE:
AB = EC = 2.7, BC = AE = 3.2, and AC = 3.168
<BAC = <ACE , <ABC = <AEC =
, and <ACB = <EAC =