First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that 
. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b
2x^2 + 3xy - 4y^2 when x = 2 and y = -4
= 2(2)^2 + 3(2)(-4) - 4(-4)^2 = 2(4) + (-24) - 4(16) = 8 - 24 - 64 = -80
Answer:
<h2>-3400</h2>
Step-by-step explanation:
In general, a geometric sequence is given by:
<h3>
a,
ar,
ar^2,
⋯,
ar^n−1 </h3>
In the sequence 20, - 40 , 80,…
First term, a1 = 20
Common ratio, r = - 40 ÷ 20 = - 2
The nth term is = 9th
Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)
S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )
S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )
S9 = ( 20 - 10240<em> </em>) / ( 3 )
S9 = ( - 10220 ) / 3
<h3>S9 = - 3400 <u>Answer</u> </h3><h2>Hope it's help you.... ^_^❤️</h2>
Answer:
I think is b
Step-by-step explanation:
that make more sentences
Answer: 23,550,000 .......
