We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704
</span>
side a = </span><span><span><span>19.995925585
</span>
</span>
</span>
We could round that to 20
a = 20 b = 27 c =14
We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))
where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span>
<span><span><span>area = 135.9942553934
</span>
</span>
</span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm
Answer:
D. 13*3^x
Step-by-step explanation:
![3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x](https://tex.z-dn.net/?f=3%5Ex%20%2B4%2A3%5Ex%5E%2B%5E1%3D%20%5C%5C3%5Ex%2B4%2A3%283%5Ex%29%3D%5C%5C3%5Ex%281%2B%5B4%2A3%5D%29%3D%5C%5C3%5Ex%281%2B12%29%3D%5C%5C3%5Ex%2813%29%3D%5C%5C13%2A3%5Ex)
Answer:
Distance: 435.9 ft
Step-by-step explanation:
This is a right triangle shown in the picture.
To solve for 
, we can use trigonometry.
The 35° angle's opposite side is 250 ft and the hypotenuse of the triangle is (what we are seeking to find).
The ratio that relates opposite and hypotenuse is sine.
<em>We know that,</em>
<em>Thus we can write:</em>
<em>Cross multiplying and solving for gives us:</em>
Second answer choice is right: 435.9 ft
Mark brainliest please
Answer is : Price before increase is £250
Explaination:
Let the Original price of a ring = x
Increase price( g) = 30%
New price(n) = £325
x = ( 100*n)/ (100+g)
x= (100*325)/(100+30)
x= (200*325)/130
x= 250
Therefore price before increase is £250
Another method:
Given that after 30% increases,
the cost of the ring is £325 so we can assume that 130% (100+30) is £325.
Now, we have to form an expression in term of x where x represents the original cost :
130/100*x=325
Solving x
x= 250
So the original price or price before the increase is £250
