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Harlamova29_29 [7]

3 years ago

10

A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going

to be built around the outside edge of the pool path.

1 answer:

rewona [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, <em>this means n(A) = 6.</em>

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

<em>The number of whole number in the set is therefore infinite. </em>

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

<em>The number of whole number in the set is n(C) = 2</em>

d) D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

<em>The total number of elements in both set = 29 i.e n(D) = 29 </em>

3 0

3 years ago

Lydia's mom earns $4 in rewards for every $75 she spends at the grocery store. If she earned $44 in rewards last month, how much

8_murik_8 [283]

Answer:

$495

Step-by-step explanation:

Take baseline amount of 75 dollars and divide it by 4. This will get you to the answer 11.25. Use 11.25 and multiply it by what she received in rewards. 11.25 times 44 equals....495!

6 0

2 years ago

Match each three dimensional figure to its volume based on the given dimensions.

Gre4nikov [31]

please attach a diagram

6 0

2 years ago

What would be the answer to 8x^6/ 8x^5 =?

Lubov Fominskaja [6]

In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be X or X^1

3 0

2 years ago

The frequency table below shows the antenna careers among the incoming class of first-year college students. Every student is ch

neonofarm [45]

To solve this you must use a proportion like so...

$\frac{part}{whole} = \frac{part}{whole}$

The total number of students that can be chosen are 4,663. This number will represent the whole of one fraction in the proportion. We want to know what percent probability out of these students are engineer, medical doctor/surgeon. This would be considered the part of this fraction. Sum the number of engineering students (615) with medical doctors/surgeons (723) to find this number

723 + 615 = 1,338 students that want to be an engineer or medical doctor/surgeon

Percent's are always taken out of the 100. This means that the other fraction in the proportion will have 100 as the whole and x (the unknown) as the part.

Here is your proportion:

$\frac{1,338}{4,663} =\frac{x}{100}$

Now you must cross multiply

1,338*100 = 4,663*x

133,800 = 4,663x

To isolate x divide 4,663 to both sides

133,800/4,663 = 4,663x/4,663

28.7 = x

This means that there is a 28.7% of a student with the intent of becoming an engineer or a medical doctor/surgeon to be chosen at random

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

2 years ago

Read 2 more answers