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Gala2k [10]
3 years ago
9

What is the height of the flagpole?A. 18ftB. 676ftC. 324ftD. 24ft​

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.
Verdich [7]

We need to find an equation for each situation. Let x be the number of GB of data used.

Statement 1: At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data used.

Plan A cost equation C(x) = 30 + 5x

Statement 2: At Noise Pollution Cellular, Plan B is $50.00 per month and $2.00 for every gigabyte of data used.

Plan B cost equation C(x) = 50 + 2x

Number of GB of data for which both the plan A and plan B cost are <em><u>same</u></em>.

30+5x=50+2x \\ Subtracting \; 2x \; \& \;30\; on\; both\; sides\;  \\ \\30+5x-2x-30=50-30+2x-2x \\Combining \; like \; terms\\\\3x=20\\Dividing \; like \; terms\\\\ \frac{3x}{3}=\frac{20}{3} \\ \\x=6\frac{2}{3}

When

x=6 \\\\  Plan \; A \; Cost = 30+5(6)=30+30=\$60\\ Plan \; B \; Cost = 50+2(6)=50+12= \$72\\ \\ From \; 5\leq x\leq   6\frac{2}{3}  , \; Plan \; A \; is \; Cheaper!

When

x = 7\\\\   Plan \; A \; Cost= 30 + 5(7) =30+35 = \$65\\\\Plan \; B \; Cost = 50 + 2(7)=50+14=\$64 \\ \\ From \; 6\frac{2}{3}     \leq x \leq   8, \; Plan\; B \; is \; Cheaper !



6 0
4 years ago
Read 2 more answers
Write <img src="https://tex.z-dn.net/?f=cot%5E%7B2%7D%20x%20%281%2Btan%5E%7B2%7D%20x%29" id="TexFormula1" title="cot^{2} x (1+ta
ASHA 777 [7]

Step-by-step explanation:

From Trig

1 + tan²x = Sec²x

Also

Sec²x = 1/cos²x

Now

Cot²x = 1/tan²x = cos²x/sin²x

Putting all together

Cot²x(1+tan²x)

= Cot²x(sec²x)

= cos²x/sin²x(1/cos²x)

cos²x on the numerator and that one the denominator cancels out

we have

= 1/sin²x

From Trig

1/sin²x = cosec²x

So Our Answer = cosec²x.

7 0
3 years ago
Solve.<br>2x + 8y = 18<br>y= -x + 6<br>Enter your answer, in the form (x, y), in the boxes.​
iren2701 [21]

Answer:

it is a simultaneous equation and I used Elimination method

2x + 8y = 18(equ \: 1) \\   y =  - x + 6 \:  \\ y + x = 6 \: (equ \: 2) \\  \\ from \:( equ2) \\  \:  x = 6 - y \: (equ \: 3 )\\ sub. \: (equ3) \: in \: (equ2) \\ 2(6 - y )+ 8y = 18 \\ 12 - 2y + 8y = 18 \\ 6y = 18 - 12 \\ 6y = 6 \\  \frac{6y}{6}  =  \frac{6}{6}   \\  y = 1 \\  \\ sub. \: y \: in \: equ3 \\ x = 6 - y \\ x = 6 - 1 \\ x = 5 \\  \\  \\ y = 1 \:  \: x = 5

5 0
3 years ago
Which property states that the order of the addends does not affect the sum? commutative property of addition reflexive property
Nonamiya [84]

Answer:

Commutative property

Step-by-step explanation:

  • Commutative property states that no matter how the addens are placed, the result of the operation (sum) remains the same.
  • For <u>example</u>, given three numbers a, b and c, the result of a+b+c=b+c+a=a+c+b.
  • Then, when you are solving a sum, the order of the elements does not matter. If we want to see this numerically, with an other example: 4+5=5+4=9.
4 0
3 years ago
Read 2 more answers
Word problems<br><br>kind of urgent
seraphim [82]
838. = 27x-271.42
+271.42. +271.42
1109.42= 27x
Divide by 27
X= $41.0896 per hour

5. Gross Pay is what you make before they takes taxes and insurance. From your check.
So Net Pay is better because what you actually get.
8 0
3 years ago
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