Answer:
9.110° and y are the same(alternate angles)
thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°
z(alternate)=70°
10.y=78°. x=(180-78)=102°. z=102°
11.x=83°. y=(180-83)=97°. z=97°
12.y=37°. x=(180-37)=143. z=143°
<em>to</em><em> </em><em>confirm</em><em> </em><em>the</em><em> </em><em>answers</em><em> </em><em>all</em><em> </em><em>angles</em><em> </em><em>in</em><em> </em><em>a</em><em> </em><em>circle</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>centre</em><em> </em><em>add</em><em> </em><em>up</em><em> </em><em>to</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em>
Answer:
5x^4 -37x^3 -6x^2 +41x -6
Step-by-step explanation:
We simplify this expression by removing parentheses and combining like terms. Parentheses are removed using the distributive property.
<h3>Form the product</h3>
The product of the final pair of polynomials in parentheses is ...
(-4x^3 +5x -1)(2x -7) = (-4x^3 +5x -1)(2x) +(-4x^3 +5x -1)(-7)
= -8x^4 +10x^2 -2x +28x^3 -35x +7
= -8x^4 +28x^3 +10x^2 -37x +7
<h3>Combine with remaining sums</h3>
= (5x^4 -9x^3 +7x -1) + (-8x^4 +4x^2 -3x +2) - (-8x^4 +28x^3 +10x^2 -37x +7)
= (5 -8 -(-8))x^4 +(-9 -28)x^3 +(4 -10)x^2 +(7 -3 -(-37))x +(-1 +2 -7)
= 5x^4 -37x^3 -6x^2 +41x -6
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
3 feet are in a yard, so divide 34 by 3.
You will get 12 with a remainder of 1. So your final answer is 12 yards, 1 foot.
