Answer:
x= -6
Step-by-step explanation:
-2x-14=-2
We move all terms to the left:
-2x-14-(-2)=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6
Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
4h−6=22
1. Add 6 to both sides.
<span><span><span><span>4h</span>−6</span>+6</span>=<span>22+6</span></span>
<span><span>4h</span>=28
</span>2.Divide both sides by 4.
<span><span><span>4h/</span>4</span>=<span>28/4
</span></span><span>h=<span>7
</span></span>−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
<span>s=-4
</span><span><span><span>
−<span>4w</span></span>−4</span>=8
</span>Step 1: Add 4 to both sides.
<span><span><span><span>−<span>4w</span></span>−4</span>+4</span>=<span>8+4
</span></span><span><span>−<span>4w</span></span>=12
</span>2: Divide both sides by -4.
<span><span><span>−<span>4w/</span></span><span>−4</span></span>=<span>12/<span>−4
</span></span></span><span>w=<span>−3</span></span>
<span>
Step 1: Simplify both sides of the equation.</span>
<span><span><span><span>1/7</span>b</span>+5</span>=<span>−2
</span></span> 2: Subtract 5 from both sides.
<span><span><span><span><span>1/7</span>b</span>+5</span>−5</span>=<span><span>−2</span>−5
</span></span><span><span><span>17</span>b</span>=<span>−7
</span></span>3: Multiply both sides by 7.
<span><span>7*<span>(<span><span>1/7</span>b</span>)</span></span>=<span><span>(7)</span>*<span>(<span>−7</span>)
</span></span></span><span>b=<span>−49</span></span>
First, you need to make sure that they're in the same measurement ration
1 m = 100 cm
so, now you have
73 cm + 160 cm + 287 cm + 325 cm + 404 cm
The total length would of all the wood would be be 1249 centimeters or 12.49 meter
