Draw and label a figure that has 4 points, 2 rays and 1 right angle
1 answer:
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Given the heights, radii, and diagonals of the vertical cross-sections of the models, the model in which the lateral surface meet the base at a right angle is the model in which the height, the diameter and the diagonal of the vertical cross-section forms a right triangle.
i.e. the sum of the squares of the height (h) and the diameter (d) gives the square of the diagonal vertical cross-section (l).
For model 1:
<span>radius: 14 cm, thus diameter = 2(14) = 28 cm
height: 48 cm
diagonal: 50 cm
</span>
<span>
Thus, the lateral surface of model 1 does not meets the base at right angle.
For model 2:
</span><span>radius: 6 cm, thus diameter = 2(6) = 12 cm
height: 35 cm
diagonal: 37 cm
[</span>tex]d^2+h^2=12^2+35^2 \\ \\ =144+1,225=1,369=37^2=l^2[/tex]
Thus, the lateral surface of model 2 meets the base at right angle.
For model 3:
<span>radius: 20 cm, thus, diameter = 2(20) = 40 cm
height: 40 cm
diagonal: 60 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
For model 4:
<span>radius: 24 cm, thus, diameter = 2(24) = 48 cm
height: 9 cm
diagonal: 30 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
Therefore, the <span>model in which the lateral surface meets the base at a right angle is model 2 (option b)</span>
i.e. the sum of the squares of the height (h) and the diameter (d) gives the square of the diagonal vertical cross-section (l).
For model 1:
<span>radius: 14 cm, thus diameter = 2(14) = 28 cm
height: 48 cm
diagonal: 50 cm
</span>
<span>
Thus, the lateral surface of model 1 does not meets the base at right angle.
For model 2:
</span><span>radius: 6 cm, thus diameter = 2(6) = 12 cm
height: 35 cm
diagonal: 37 cm
[</span>tex]d^2+h^2=12^2+35^2 \\ \\ =144+1,225=1,369=37^2=l^2[/tex]
Thus, the lateral surface of model 2 meets the base at right angle.
For model 3:
<span>radius: 20 cm, thus, diameter = 2(20) = 40 cm
height: 40 cm
diagonal: 60 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
For model 4:
<span>radius: 24 cm, thus, diameter = 2(24) = 48 cm
height: 9 cm
diagonal: 30 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
Therefore, the <span>model in which the lateral surface meets the base at a right angle is model 2 (option b)</span>
Let the number be x
Then the absolute value of the number from -2 should be 4
So either
Or
[tex] <B>The numbers are 2 and -6</B> [/tex[
They are four units away from -2 on the number line
Answer: The second derivative would be
Step-by-step explanation:
Since we have given that
We will find the first derivative w.r.t. 'x'.
So, it becomes,
Then, we will find the second derivative w.r.t 'x'.
Hence, the second derivative would be