Answer:
the second one
Step-by-step explanation:
We are given with the expression or equation s<span>in2x cosx + cos 2x sin x = √3/2. The expression can be patterned from the trigonometric identity sin (a + b) = sin a cos B + cos A sin B. In this case, the expression is equal to sin 3x = sqrt 3 /2. using arc sign, x is equal to pi/9 </span>
Answer:
Option (4). Rhombus
Step-by-step explanation:
From the figure attached,
Distance AB = 
= 
= 
= 
Distance BC = 
= 
= 
Distance CD = 
= 
= 
Distance AD = 
= 
= 
Slope of AB (
) = 
= 
= 
Slope of BC (
) = 
= 
If AB and BC are perpendicular then,

But it's not true.
[
= -
]
It shows that the consecutive sides of the quadrilateral are not perpendicular.
Therefore, ABCD is neither square nor a rectangle.
Slope of diagonal BD =
= Not defined (parallel to y-axis)
Slope of diagonal AC =
= 0 [parallel to x-axis]
Therefore, both the diagonals AC and BD will be perpendicular.
And the quadrilateral formed by the given points will be a rhombus.
An inequality that represent the number of cans, c, that Jacob must still collect is
.
<u>Step-by-step explanation:</u>
Here we have , Jacob needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. We need to solve the following :
<u>Part A:
</u>
Write and solve an inequality to represent the number of cans, c, that Jacob must still collect.
Jacob has collected 64 cans . Jacob need to collect at least 120 cans for a food drive to earn community service credit , Let Number of cans that Jacob have to collect is c , So following is the inequality for above scenario:
⇒ 
⇒ 
⇒ 
Therefore , An inequality that represent the number of cans, c, that Jacob must still collect is
.