If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.<u>The probability of at least one pair of neighbors using the same settings is 0.65633</u>
Step-by-step explanation:
<u>Step 1</u>
In the question it is given that
Automatic garage door opener utilizes a transmitter control with four independent switches
<u>So .the number of Combinations possible with the Transmitters </u>=
2*2*2*2= 16
<u>
Step 2</u>
Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.
= 1- 16*15*14*13*12*11/(16^6)
<u>
Step 3</u>
Probability of at least one pair of neighbors using the same settings=
= 1- 0.343666
<u>
Step 4</u>
<u>So the probability of at least </u>one pair of neighbors using the same settings
is 0.65633
The angle is called an hypotenuse and to find it just use the Pythagorean Theorem which states a squared+b squared= c squared, does this answer your question or do you need more help?
Answer:the diameter is 7
Step-by-step explanation: 21.98 divide by pi is 7 so diameter is 7
