Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
Answer:
Not Similer
Step-by-step explanation:
we can use the process of elimination, first AA isn't it because the corresponding angles arn't equal, next SSS itsn't it because we don't know the side lengths, and lastly SAS isn't it because we still don't know the side lengths.
Answer:
78.5%
Step-by-step explanation:
The area of the square is equal to diameter squared
i.e 4 in × 4 in = 16 square inches
The area of the circle is π × r²
i.e π × 2² = 12.56637061
The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100
i.e 
× 100 = 78.53981631%
And is equal to 78.5% (rounded up to the nearest tenth of a percent)
Answer: 12 inches
Step-by-step explanation:
