Answer:
The approximate measure of angle K is 34°
Step-by-step explanation:
In ΔJKL
∠L = 105°
JK = 4.7
JL = 2.7
Sine Rule:
![\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}](https://tex.z-dn.net/?f=%5Cfrac%7BSinA%7D%7Ba%7D%20%3D%20%5Cfrac%7BSinB%7D%7Bb%7D%3D%20%5Cfrac%7BSinC%7D%7Bc%7D)
So,![\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70](https://tex.z-dn.net/?f=%5Cfrac%7BSinL%7D%7BJK%7D%20%3D%20%5Cfrac%7BSinK%7D%7BJL%7D%5C%5C%5Cfrac%7BSinL%7D%7B4.7%7D%20%3D%20%5Cfrac%7BSinK%7D%7B2.7%7D%5C%5C%5Cfrac%7BSin%20105%7D%7B4.7%7D%20%3D%20%5Cfrac%7BSinK%7D%7B2.7%7D%5C%5C%5Cfrac%7BSin%20105%20%5Ctimes%202.7%7D%7B4.7%7D%20%3D%20SinK%5C%5C%5Cfrac%7B%280.9659%20%5Ctimes%202.7%29%7D%7B4.7%7D%20%3D%20Sin%20K%5C%5C%5Cfrac%7B2.60793%7D%7B4.7%7D%20%3D%20Sin%20K%5C%5C0.5549%20%3D%20Sin%20K%5C%5CSin%5E%7B-1%7D%280.5549%29%3D%20K%5C%5CK%20%3D%2033.70)
K ≈ 34°
So, Option B is true
Hence The approximate measure of angle K is 34°
(4-3n-5n2)
+( -2+n-3n2)
____________________
-2-2n-8n2
Answer:
-4f
Step-by-step explanation:
Hi! Let's work on simplifying this.
f(4) = 4f
f(0) = 0, because anything x 0 is 0
f(-8) = -8f
Our equation is 4f + -8f
We can get rid of the plus negative...
4f - 8f
So we get:
-4f
If wholesale cost is x, then retail is x plus the percentage change in x. (1 + .34)x = 1.34x.
Answer:
$700
Step-by-step explanation:
Step one:
Given data
Regular cost of cell phone= $780
discount = 15%
tax = 5.5%
Step two
Let us compute the discounted amount
= 15/100*780
=0.15*780
=$117
hence the selling price is
=780-117
=$663
Also, the tax-deductible is
=5.5/100*663
=0.055*663
=$36.465
The total cost of the phone will be
=663+36.465
=699.465
=$700 to the nearest cent