Answer:
A circle is shown. Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N intersects the circle at point M. The length of P N is 32, the length of Q N is x, the length of L M is 22, and the length of M N is 14.
In the diagram, the length of the external portion of the secant segment PN is <u>X</u>
The length of the entire secant segment LN is <u>36</u>.
The value of x is <u>15.74</u>
Step-by-step explanation:
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By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
<h3>
How to get the volume of the smaller solid?</h3>
If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
If you want to learn more about scale factors:
brainly.com/question/3457976
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Answer:
The probability of getting an a in both courses is 1.27
Step-by-step explanation:
Probability of getting A in Math, P(M) = 0.6
5
Probability of getting A in Science, P(S) = 0.62
Required probability of getting A in both courses, P(M and S)
= P(M) + P(S)
= 0.65 + 0.62
= 1.27
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