Answer:
length is 7.5 and width is 4.5
Step-by-step explanation:
Its given that perimeter of the triangle is 24 units.
The condition is that length is 3 units more than the width.
l=w+3;
Formula for perimeter is 2(l+w).
so ,
2(w+w+3)=24,
2w+3=12,
w=4.5,
l=w+3=7.5
Hence for the given conditions length is 7.5 and width is 4.5.
Answer:
x = 85°
Step-by-step explanation:
As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;
Sum of interior angles of a pentagon = (n - 2) * 180°
=> Sum of interior angles of a pentagon = (5 - 2) * 180°
=> Sum of interior angles of a pentagon = 3 * 180
=> Sum of interior angles of a pentagon = 540
Now that we know the sum of interior angles, we can set up the equation and solve for x;
115 + 95 + 115 + 130 + x = 540
455 + x = 540
x = 540 - 455
x = 85
Hope this helps!
Cos^4(x) =
(cos²x)² =
(1-sen²x)² =
1² - 2*1*sen²x + sen^4x =
1 - 2sen²x + sen^4x
Answer:
f - 1 (x) = - x6 - 76
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .
Answer:
<h3>
-2a³ + 9a² + 6ab² + 45a + 18b² </h3>
Step-by-step explanation:
(a + 3)×(−2a² + 15a + 6b²) =
= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =
= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =
= -2a³ + 9a² + 6ab² + 45a + 18b²
