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mr Goodwill [35]
3 years ago
7

He sandbox at a local playground is shaped like a square. The length of one side of the sandbox is 8 feet.

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

ok so 64 square feet

Step-by-step explanation:

you take 8x8 to get 64


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What is the numerator of the simplified sum?
sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0
3 years ago
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
3 years ago
Bryan owes his friend more than $1,610 from a loan. Bryan has already paid his friend back $206 and continues to pay him $156 ea
Genrish500 [490]
Owes more than 1425
owe>1425

owed musbe be equal to how much he paid back

paid back 210

and 153 per month is paid back (represent number of months by x)
so
owe=210+152x

210+153x>1425
153x+210>1425

Don't know if this is right or if it helps but
6 0
3 years ago
Read 2 more answers
There are three consecutive numbers such that twice the first is 20 more than the second.find the numbers? Show your solution.
xxTIMURxx [149]
Answering from phone so this will be a bit messy. a b=a+1 c=b+1=a+2 2a=b+20 Therefore: 2a=a+1+20 a=21,b=22,c=23
8 0
3 years ago
The height of a cylinder is 5 centimeters. The diameter of the base of the cylinder is 16 centimeters. Find the lateral surface
soldier1979 [14.2K]

Answer:

Lateral surface area of the cylinder =251.2 cm^2

Step-by-step explanation:

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Height(h) = 5 cm

Diameter = 16 cm

radius(r)= 16/2= 8 cm

Lateral surface area of the cylinder = 2*\pi *8*5                        

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               L.S.A=  2*3.14*8*5

              L.S.A=  251.2 cm^2

The lateral surface area of the cylinder with radius 8 cm and height 5 cm is 251.2 cm^2

6 0
3 years ago
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