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Snowcat [4.5K]
3 years ago
12

Your middle school has 900 students. 13 of students bring their lunch instead of buying lunch at school. What is the value of th

e ratio of the number of students who do bring their lunch to the number of students who do not?
1/2

2/1

1/3

3/1
Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

it's 1/3.....................     ^.^

Anna007 [38]3 years ago
4 0

the answer is 1/3...................

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
Systems of the Body Constructed Response
fiasKO [112]

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

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3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

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3 years ago
Which statement is true
Jet001 [13]

Answer:

A

Step-by-step explanation:

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4 0
3 years ago
7. Write the equation of a line which passes through the points (-3,5) and (6,23)
faust18 [17]

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

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Gaby deposited $200 in a savings account earning 4% simple interest over 7 years. What was the total interest Gaby earned?
Yuki888 [10]
I=prt. I= $200 X 4% X 7. I= 8 X 7. I= 56. Her total interest earned was $56 :)
5 0
3 years ago
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