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larisa [96]
4 years ago
7

The diameter of a circle X is 18 cm the diameter of circle Y is 31 cm which circle has the greater area and by how much you 3.14

for pie
Mathematics
1 answer:
Finger [1]4 years ago
7 0
Area of a circle = (pi)(radius squared)
A of Circle X= (3.14)(18cm/2)squared

We need to divide the diameter in half to get the radius.
A of Circle X= (3.14)(9) squared
A of Circle X= (3.14)(81)
A if Circle X= 254.34 cm


A of Circle Y= (3.14)(31cm/2)squared

We need to divide the diameter in half to get the radius.
A of Circle Y= (3.14)(15.5) squared
A of Circle Y= (3.14)(240.25)
A if Circle Y= 754.39 cm

Find the difference in Area:
=Circle Y - Circle X
=754.39 - 254.34
=500.05 cm difference

Circle Y has the greater area of 754.39. It it greater than Circle X by 500.05 cm
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8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, <u>Probability of any event</u>  =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>

                   =  \frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, <em>Probability that the first vehicle selected is a motorcycle</em> =  \frac{16}{34}

<u>Similarly, Probability that the second vehicle is a van is given by;</u>

              =   \frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So,<em> Probability that the second vehicle selected is a van</em> =  \frac{9}{33}

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van  =  \frac{16}{34}\times \frac{9}{33}

                                               =  \frac{24}{187}  =  <u>0.1283</u>

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3 years ago
Use properties of operations to write two equivalent expressions for 13(4 + x).
lesantik [10]

Answer:

13(4+x)

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13 multiplies the 4 and x.

then 13 multiply 4 is 52 while 13 multiply x 13x.

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