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2 years ago

Anton has a deck that is 890 cm by 2891 cm. If he wants to add 66 cm. how large would his deck be?

Mathematics

1 answer:

Aliun [14]2 years ago

4 0

Answer:

The answer is 2,763,796 cm². Or 276.3796m², which is the footprint of a nice size house.

Step-by-step explanation:

$890cm \times 2891cm = 2572990 {cm}^{2}$

$890 + 66 = 956$

$956cm \times 2891cm = 2763796 {cm}^{2}$

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Help I am very bad at math I need answers by tomorrow if you can help please do

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

$LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A$

2) Sec² A - Tan² A = 1

$LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\$

3) LHS = Cosec² A + Cot² A

= Cosec² A + Cosec² A - 1

= 2Cosec² A - 1 = RHS

$4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1$

3 0

3 years ago

Twice the sum of x and 6 is at most 52. What is the greatest value of x that satisfies the inequality that represents this situa

Shalnov [3]

Our inequality looks like this:
2(x+6)≤52
Using the Distributive Property, we have
2*x + 2*6 ≤52
2x+12≤52
Cancel the 12 by subtracting from both sides:
2x+12-12≤52-12
2x≤40
Divide both sides by 2:
2x/2 ≤ 40/2
x≤20
x cannot be any more than 20 to satisfy this inequality.

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3 years ago

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Andrew [12]

Answer:

The last answer on your last image

Step-by-step explanation:

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What is the retail price of something that cost $280 with a 75% mark up?

IgorLugansk [536]

Answer:

Hi. I am a math teacher. Your correct answer is 210. You're welcome!

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The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?

Maru [420]

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

$the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.$

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

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