According to the definition, the volume is indicated by
V = h * w * l
where
V: Volume
h: height
w: width
l: length
By solving for height, we get:
h = V / (w * l)
h = (5 - x) / ((x) * (x - 2))
The expression is undefined for x values that cause the denominator to equal zero:
((x) * (x - 2)) = 0
x = 0
x = 2
Answer
h = (5 - x) / ((x) * (x - 2))
x = 0
x = 2
4x+32
4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers.
4(1x+8)
aka 4(x+8)
Answer:
The P-value signifies that the likelihood of obtaining a linear correlation coefficient that is as extreme or more extreme is 3.5%, which is considered significant at α=0.05. Thus, we have sufficient evidence to assert that there exists a linear correlation between the weight of automobiles and their highway fuel consumption.
Step-by-step explanation:
The correlation coefficient demonstrates the relationship between the weights and highway fuel consumption values across seven distinct types of automobiles.
The P-value expresses the significance of this connection. If the p-value is beneath a significance level (e.g., 0.05), it indicates that the relationship is indeed significant.
Answer:
The ratio 
corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
For triangle HIJ
∵ m∠J = 90°
- The hypotenuse is the side opposite the right angle.
So, HI is the hypotenuse.
∵ HJ = 3 units
∵ IH = 5 units
- We’ll apply the Pythagorean Theorem to solve for HJ.
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides.
∴ (IJ)² = 16
- Taking the square root on both sides gives:
∴ IJ = 4 units
To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- Utilizing the rule of tan above:
∴ tan(∠I) = 
∴ tan(∠I) =
The ratio indicates the tangent of ∠I.
