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Archy [21]
3 years ago
5

Kerry has a large triangular price of fabric that she wants to attach to the ceiling in her bedroom. The sides of the piece of f

abric measure 4.8 ft, 6.4 ft, and 8 ft. Is the fabric in the shape of a right triangle? Explain.
Mathematics
1 answer:
kotykmax [81]3 years ago
7 0
An easy way to test this is with the equation A^{2}+B ^{2}=C ^{2} this means that if you add 4.8²+6.4² does it equal 8²? if so then it is a right triangle. This is called the<span> Pythagorean theorem. So the answer is, yes it is a right triangle. </span>
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A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet. What is the total area of the pyramid?
Temka [501]
Answer is C, 96 ft squared.
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3 years ago
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The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
dezoksy [38]
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
3 0
3 years ago
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

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3 years ago
Whats 9 + 19 <br>please I need help
deff fn [24]
28 hope that helped...
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Which line is perpendicular to y = 2x -8
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