Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
Answer:
The cost of a chicken shawarma wrap = $10.99
The cost of an order of spiced potatoes=$4.99
Equations needed
3x+2y =42.95
5x + 4y=74.91
Step-by-step explanation:
x = the cost of a chicken shawarma wrap
y = the cost of an order of spiced potatoes
Ms. Ironperson
3x+2y =42.95
Mr. Thoro
5x + 4y=74.91
3x+2y =42.95 (1)
5x + 4y=74.91 (2)
Multiply (1) by 2
6x + 4y=85.9 (3)
5x + 4y=74.91. (2)
Subtract (2) from (3)
6x - 5x= 85.9 - 74.91
x=$10.99
Substitute the value of x into (1)
3x+2y =42.95 (1)
3(10.99) + 2y =42.95
32.97 + 2y = 42.95
2y = 42.95 - 32.97
2y=9.98
Divide both sides by 2
y=9.98/2
=4.99
y=$4.99
Therefore,
The cost of a chicken shawarma wrap = $10.99
The cost of an order of spiced potatoes=$4.99
Answer:
m = 36
Step-by-step explanation:
1/3 m+3- 5/6 m=-15
2m+18-5m=-90
-3m+18=-90
-3m=-90-18
-3m=-108
m=36
9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
__
The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
I'm not entirely sure but it should be (3/5) together. For pen the probability is (5/20) and for crayon is (12/20) add them equals (12/20) simply equals (3/5) HOPE IT HELPS
