An airplane left atl with 52 empty seats. If the air plane was 75% full, what was the total number of seats

Answers

Answer 1

Answer: $x-total\ number\ of\ seats\nx-52-occupied\ seats\n75\%=0.75\n100\%=1\n\nFrom\ proportion:\n\nx-52\ \ \ -\ \ \ 0.75\nx\ \ \ \ \ \ \ \ \ \ -\ \ \ 1\n\nx-52=0.75x\nx-0.75x=52\n0.25x=52\ \ \ \ |\cdot4\nx=208\n\nTotal\ number\ of\ seats\ was\ 208.$

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Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?

Answers

$x-\ number\ of\ nickels\ny-\ number\ of\ dimes\n\nx+y=25 \ \ \ | x=25-y\n0.05x+0.1y=1.65\n\n0.05(25-y)+0.1y=1.65\n\n1.25-0.05y+0.1y=1.65\n\n1.25+0.05y=1.65\ \ \ | subtract\ 1.25\n\n0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\n\ny=8\n\nx=25-8=17\n\nThere\ are\ 17 \ nickels\ and\ 8\ dimes.$

How would I get the exact value of Tan157.5 using the half angle formula?

Answers

$\tan(157.5)=\tan(315/2)=(\sin(315))/(1+\cos(315))=(-√(2)/2)/(1+√(2)/2)=(-1)/(1+√(2))$

X+2 over 3 = 8/5 solve for x

Answers

(x+2)/3 = 8/5

Multiply each side by 3 :

(x+2) = 24/5

Remove the parentheses on the left side:

x + 2 = 24/5

Subtract 2 from each side: (Express '2' as '10/5')

x = 24/5 - 10/5 = 14/5 = 2.8

x=14/5

It is this because you would have to first multiply each side by 3, making the equation x+2=24/5, or 4 and 4/5.

Then you would have to subtract two from each side, making x=2 and 4/5, or 14/5

What set of reflections and rotations would carry rectangle ABCD onto itself?

Answers

To solve this problem you simple have to think which of the following option would carry your shape into itself. Or in simpler words which one would make it go 360 degrees around. The correct set of reflections and rotations would be:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

I hope it helps, Regards.

Answer:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:

I took the test

What is the value of i^97 - i

Answers

$if\ i\ is\ the\ imaginary\ unit\ (i=√(-1)\Rightarrow i^2=-1):\n\ni^(97)-i=i(i^(96)-1)=i(i^(48\cdot2)-1)=i[(i^2)^(48)-1]=i[(-1)^(48)-1]\n\n=i(1-1)=i\cdot0=0\n\ntherefore\ \boxed{i^(97)-i=0}$

this can also be explained as b on edg

Find the length of the unknown side. Round your answer to the nearest tenth.O 16.5
O 17.5
O 18.5
O 22.0

Answers

17.5

Explanation:

So if we use the formula a^2+b^2=c^2

We would fill it in as 4^2+b^2=18^2
Then solve

16+b^2= 324

Then subtract 16 from both sides

B^2 = 308

Then you find the square root of 308

17.5

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