You know that the sum of the interior angles in a triangle is 180
we will add all the angles,
(x+8)+(2x-8)+(3x-12)=180
x+8+2x-8+3x-12=180 8 and -8 cancel out
6x-12=180
6x=180+12
6x=192
x=192/6=32
x=32
60
12, 24, 36, 48, 60
30, 60
-16t^2 + v0t + h0
= -16(t^2 - 1/16 v0t) + h0
= -16 [(t - 1/32v0)^2 - (1/32 v0)^2 ) + h0
= -16(t - 1/32v0)^2 + 1/64 (v0)^2 + h0 which is the vertex form
The vertex is at the point (1/32v0, 1/64 (v0)^2)
1/32v0 represents the time when the firework is at its maximum height and 1/64 (v0)^2 is this maximum height
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
The fence is triangular and a right triangle.
<h3>Right triangle:</h3>
A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.
c² = a² + b²
17² - 8² = b²
b = 15 ft
AC = 15 ft
perimeter of the triangle = 15 + 8 + 17 = 40 ft
Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²
Therefore,
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
learn more on right angle triangle here; brainly.com/question/2192748
Answer:
Question relates to a Arithmetic Sequence {30,32,34...} where d = 2
and the terms are the enumber of seats in each row.
S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29 |Sum of the seats in the 26 rows.
S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows
Step-by-step explanation:
