Answer:
-29
Step-by-step explanation:
-3(10)+1
-30+1
-29
To solve the top triangle, use the sine of 45° and find the shared side length (y):
sin(45°) = y / 12
12(sin(45°) = y
y = 8.485
(The side y is opposite of the bottom triangle's 30° angle.)
Use the tangent of 30° to find the side length of x.
tan(30°) = 8.485 / x
x(tan(30°)) = 8.485
x = 8.485 / (tan(30°))
x = 14.696
The side length of x is approximately 14.696 units.
Answer:
Step-by-step explanation:
(8x²-18x+10)/(x²+5)(x-3)
express the expression as a partial fraction:
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5
both denominator are equal , so require only work with the nominator
(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)
8x²-18x+10= x²A+5A+bx²+cx-3bx-3c
combine like terms:
x²(A+b)+x(-3b+c)+5A-3c
(8x²-18x+10)
looking at the equation
A+b=8
-3b+c=-18
5A-3c=10
solve for A,b and c (system of equation)
A=2 , B=6, and C=0
substitute in the value of A, b and c
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5
(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)
(8x²-18x+10)/[(x^2+5)(x-3)] =
<h2>2/(x-3)+6x/x²+5</h2>
(4x+2)/[(x²+4)(x-2)]
(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)
(4x+2)=a(x²-2)+(bx+c)(x-2)
follow the same step in the previous answer:
the answer is :
<h2>(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)</h2>
Answer:
8
Step-by-step explanation:
1 : 2
= 1 +2
= 3
action movie
1 ÷ 3 × 24 = 8
other movie
2 ÷ 3 × 24 = 16
If 1 action movie is to 2 other films it means on the 24 screens will be 8 action movies to 16 other films.
