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fiasKO [112]
3 years ago
14

The simplest form of StartRoot 80 EndRoot can be written as a StartRoot b EndRoot, where a = and b =

Mathematics
2 answers:
Elden [556K]3 years ago
6 0

Answer:

4√5

Step-by-step explanation:

√80 = √16 times √5

√16 = 4

4 times √5

4√5

tia_tia [17]3 years ago
4 0

Answer:

a= 4

b=5

Step-by-step explanation:

took the test

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A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
Elina [12.6K]
Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C. 

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is \frac{1}{4}. 

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down. 

The answer will be B, "a dilation with a scale factor of \frac{1}{4} and then a translation."

Hope this helped you out! :-)
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