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Dmitriy789 [7]
4 years ago
11

which set of numbers could represent the lengths of the sides od a right triangle 16 32 36 3 4 5 8 12 16 9 10 11

Mathematics
1 answer:
pantera1 [17]4 years ago
3 0

Answer:

3 , 4 , 5 can formed right triangle

Step-by-step explanation:

In any triangle if the sum of the squares of the smallest two sides equals the square of the third side, then the triangle is right triangle

∵ 16² + 32² = 1280

∵ 36² = 1296 ≠ 1280 ⇒ Not right Δ

∵ 3² + 4² = 25

∵ 5² = 25  ⇒  right Δ

∵ 8² + 12² = 208

∵ 16² = 256 ≠ 208 ⇒ Not right Δ

∵ 9² + 10² = 181

∵ 11² = 121 ≠ 181 ⇒ Not right Δ

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A company that manufactures cell phones has been given a quarterly operating budget of $1,176,912.42. The company's quarterly op
amm1812

Answer:

maximum is 16,853 cell phones

≤  18.853

Step-by-step explanation:

1,176,912.42.   per quarter budget

247,638.00    per quarter fixed cost

We subtract then divide the amount cost of phones and ensure its less or rounded down.

1,176,912.42 -247,638 = 929274.42

929274.42 / 55.14 = 16853

16,852 < m ≤ 16,853

6 0
3 years ago
Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression
Vlad1618 [11]

Answer:

Step-by-step explanation:

Given the expression (x+11)(2x+3)

We want to expand it and write equivalent expression

Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other

E.g, (a+b) × (c + d)

Then, we take a × (c+d) and also b × (c+d)

We can do it the other way round too and it will give the same results.

So, applying this to the given expression

(x+11)(2x+3)

x(2x+3) + 11(2x+3)

2x² + 3x + 22x + 33

2x² + 25x + 33

Then, the equivalent expression is 2x² + 25x + 33

(x + 11)(2x + 3) = 2x² + 25x + 33

5 0
3 years ago
Find the future value of this loan.
Dmitriy789 [7]

Answer:

the full value is $8507.86

Step-by-step explanation:

Use I=prt(interest rate formula)

p=principal(8079)

r=rate of interest(0.091) -Always convert % into decimal when dealing with interest

t= time (7/12 or 0.583)- if time is in months form you need to put a  denominator of 12

now use the formula

I=8079*0.091*0.583

I=428.86

now you need to add the interest to the principal to get full value

428.86+8079=$8507.86

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3 years ago
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