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Zigmanuir [339]
3 years ago
11

G = 40n + 20k, for k

Mathematics
1 answer:
oee [108]3 years ago
3 0

G=40n+20k\ \ \ \ |Subtract\ 40n\\\\
G-40n=20k\ \ \ |Divide\ by\ 20\\\\
\frac{G-40n}{20}=k\\\\
k=\frac{G}{20}-2n\\\\Solution\ is\ k=\frac{G}{20}-2n.
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Angles and polygons
Andre45 [30]

Answer:

∠1 = 66°

Step-by-step explanation:

∠1 + ∠3 = ∠4 (exterior angle theorem)

∠1 + 57° = 123°

∠1 = 66°

8 0
3 years ago
Find the exact value by using a half-angle identity. . cos(5π/12).
vodka [1.7K]
<span>First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)

=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2] 
We will ignore the negative sign
I hope it helped.</span>
6 0
3 years ago
Hi :) how to do question 7 ?
Gre4nikov [31]

Answer:

Step-by-step explanation:

We khow that the equation of a circle is written this way :

(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .

Our task is to khow the values of a and b :

  • We khow that the center is lying on the line 3x+2y=16⇒ 2y=-3x+16⇒ y= \frac{-3}{2}x+8  
  • We khow that the points P and Q are two points in the cercle
  • Let Ω be the center of this cercle
  • we can notice that : PΩ AND QΩ are both equal to the radius ⇒ PΩ=QΩ= r
  • So let's write the expression of this distance using vectors KHOWING THAT Ω(a,b)
  • Vector PΩ(a-4,b-6) and Vector QΩ(a-8,b-2)
  • PΩ=\sqrt{(a-4)^{2}+(b-6)^{2}  } and QΩ=\sqrt{(a-8)^{2}+(b-2)^{2}   }
  • Let's substitute a by x and b by y
  • PΩ=QΩ we substitute each distance by its expression
  • After simplyfying the expressions we get finally : -12+8x-8y=0
  • now we have -12x +8x-8y=0 and the line equation 3x+2y-16=0
  • these are simultanious equations so after solving them we get x=3.8 wich is approximatively 4 and y=2
  • we substitute a by 4 and y by 2 in PΩ to get the radius
  • we get r = \sqrt{(4-4)^{2}+(2-6)^{2}  } = 4
  • so r²= 16
  • then the equation is : (x-4)²+(y-2)²=16
5 0
4 years ago
Read 2 more answers
B - 1/8= 3 1/2 <br><br><br> what’s b equal
svlad2 [7]
In fraction
b= 29/8
decimal
b= 3.625
another’s fraction
b= 3 5/8
4 0
3 years ago
Math
balu736 [363]

Answer:

$1251.59

Step-by-step explanation:

tax percent = 6.7%

cost price of watch = $113

tax amount = tax percent of total price

=6.7 % * 1173

=6.7/100 *1173

=78.591

Now find total cost of a watch with tax

total cost = tax amount + original cost price

=$78.591 + $1173

=$1251.59

4 0
3 years ago
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