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Drupady [299]
3 years ago
12

Sara left home and drove East 12 miles to Bakersville for her friends birthday cake then she drove 10 miles south to a friends h

ouse how far apart is Sarah's friends house and Sarah's house
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
From home to Bakersville Sarah covered 12 miles East, the 10 miles south to her friends.
Therefore, using Pythagoras's theorem The distance from Sarah's home to her friend's house will be;
 =√ 12²+10²
= √244
= 15.62 miles
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A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular wi
valentina_108 [34]
You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.

Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi

Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi

Take 2x^2 as a common factor:
2x^2(133-18pi)

D: <span>2x^2(133-18pi)

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3 0
3 years ago
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
What is 946 divided by 11?
timama [110]
Answer: 946 ∻ 11 = 86


3 0
2 years ago
The firefighter needs to drive 3 miles in 3 minutes. How fast should the firefighter drive?​
fiasKO [112]

Answer:

60 MPH

Step-by-step explanation:

6 0
2 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
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