Answer:
12x^7+21x^5-33x^3
Step-by-step explanation:
12x^7+15x^5-6x^3-27x^3+6x^5
12x^7+21x^5-33x^3
Given:
tan x = 3/y
cos x = y/z
Because tan x = sin(x)/cos(x), therefore
sin x = tan(x)*cos(x)
= (3/y)*(y/z)
= 3/z
Answer: a) sin x = 3/z
Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 <em>(</em><em>expand</em><em>)</em>
W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
Step-by-step explanation:
v=1/3nr2h for h
3(v)=3(1/3nr2h)
3v/2nrh=2nrh/2nr
3v/2nrh=h
h = 3v/2nrh
These are correct statements:
<span>- Line segments AB and CD are parallel.
- </span>Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:
- <span>Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.
- </span><span>Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.
- </span><span>Line segments AB and CD are perpendicular. They are not crossing over each other.</span>
- <span>Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. </span><span>∠1 and </span><span>∠3 are corresponding just like </span>∠2 and <span>∠4. </span>
