<h3>
Answer: 26</h3>
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Explanation:
a = 26 and b = 26 are the congruent legs
angle C = 60 degrees is between sides 'a' and b
c = unknown base which is opposite angle C
We'll use the law of cosines to find this missing side.
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 26^2 + 26^2 - 2*26*26*cos(60)
c^2 = 676
c = sqrt(676)
c = 26
It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.
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Here's another way to see why we have an equilateral triangle.
The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180
x+x+60 = 180
2x+60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60
Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.
If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.
Answer: 2,673
Step-by-step explanation:
450% × 594 =
(450 ÷ 100) × 594 =
(450 × 594) ÷ 100 =
267,300 ÷ 100 =
Answer:
$36.75
Step-by-step explanation:
If you take the original cost 35.00 and add 5% to it, you would get 36.75. If you think about it, it has to be above $35 since the sales tax would be more.
Ok, there is an equation you can use to solve it.
n is a number.
p is also a number, but different to n.
![\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } \cdot 1=\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } =\frac { p }{ p+12 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%207%20%7D%7B%209%20%7D%20%5Ccdot%20%5Cfrac%20%7B%20n%20%7D%7B%20n%20%7D%20%3D%5Cfrac%20%7B%20p%20%7D%7B%20p%2B12%20%7D%20%5C%5C%20%5C%5C%20%5Cfrac%20%7B%207%20%7D%7B%209%20%7D%20%5Ccdot%201%3D%5Cfrac%20%7B%20p%20%7D%7B%20p%2B12%20%7D%20%5C%5C%20%5C%5C%20%5Cfrac%20%7B%207%20%7D%7B%209%20%7D%20%3D%5Cfrac%20%7B%20p%20%7D%7B%20p%2B12%20%7D%20)
![\\ \\ 7\left( p+12 \right) =9p\\ \\ 7p+84=9p\\ \\ 9p-7p=84\\ \\ 2p=84\\ \\ p=\frac { 84 }{ 2 } \\ \\ p=42](https://tex.z-dn.net/?f=%5C%5C%20%5C%5C%207%5Cleft%28%20p%2B12%20%5Cright%29%20%3D9p%5C%5C%20%5C%5C%207p%2B84%3D9p%5C%5C%20%5C%5C%209p-7p%3D84%5C%5C%20%5C%5C%202p%3D84%5C%5C%20%5C%5C%20p%3D%5Cfrac%20%7B%2084%20%7D%7B%202%20%7D%20%5C%5C%20%5C%5C%20p%3D42)
Therefore:
<u></u>
![\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { 42 }{ 42+12 } =\frac { 42 }{ 54 } =\frac { 7 }{ 9 } \cdot \frac { 6 }{ 6 } \\ \\ \therefore \quad n=6](https://tex.z-dn.net/?f=%5Cfrac%20%7B%207%20%7D%7B%209%20%7D%20%5Ccdot%20%5Cfrac%20%7B%20n%20%7D%7B%20n%20%7D%20%3D%5Cfrac%20%7B%2042%20%7D%7B%2042%2B12%20%7D%20%3D%5Cfrac%20%7B%2042%20%7D%7B%2054%20%7D%20%3D%5Cfrac%20%7B%207%20%7D%7B%209%20%7D%20%5Ccdot%20%5Cfrac%20%7B%206%20%7D%7B%206%20%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20%5Cquad%20n%3D6)
So all together there were 54 girls and 42 boys in the theatre.
54 + 42 = 96
That's 96 children in total. (Answer)
7:9 = 42:54
u have to subtract 26,800 by 5,000 then u would get 21800 then u find 15% of 21800 and u get 3270 John Doe paid $3,270