Answer:
426.07 square units
Step-by-step explanation:
Recall that for a triangle whose angles are A,B,C with corresponding sides a, b, c, the area G of the triangle may be computed as
G = 1/2 ab Sin C
or
G = 1/2 bc Sin A
or
G = 1/2 ac Sin B
Going by this, recall that the sum of angles in a triangle is 180 hence
94 + 26 + K = 180
120 + K = 180
Subtract 120 from both sides
K = 180 - 120
K = 60 degrees
Given that JK = 24 and JL = 41
G = 1/2 * 24 * 41 Sin 60
= 426.07 square units
Answer: x=4
Step-by-step explanation:
The perimeter´s formula for this kind of polygons is
The triangle perimeter would be:
(x+2)+(x+3)+(x+3)
And the rectangle:
(x+2)+(x+2)+x+x
For them to have the same value, we should equal them:
(x+2)+(x+3)+(x+3)=(x+2)+(x+2)+x+x
Working with this:
3x+8=4x+4
x=4
Answer:
56
Step-by-step explanation:
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
Answer:
The terms listed are 8, 4, and 2 in that order. From what we can see, it is a geometric sequence whose next term is gotten by dividing the previous term by 2. The formula for finding the nth term of a geometric sequence is given as 
, where
a = first term which is 8
r = common ratio, 1/2 or 0.5
n = is the term we're looking for, 5
Putting all these together into one solid equation, we have
8 * 
=
8 * 
=
8 * 0.0625 = 0.5
Therefore, the 5th term of the sequence is 0.5. Similar example can be seen here brainly.com/question/9300199
