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Marrrta [24]
3 years ago
14

Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum. 1/8 of the class voted for the zoo. The

rest of the class voted for the nature park. What fraction of the class voted for the nature park?
Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

1/8

Step-by-step explanation:

3/4 is the same as 6/8. 6/8 plus 1/8 is 7/8. 8/8 minus 7/8 is 1/8.

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The equation of the line is 3y+2x=12 . what is the slope of the line perpendicular to this equation?
Ket [755]
The slope
\frac{3}{2}
6 0
3 years ago
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At which angle will the hexagon rotate onto itself?<br> 60<br> 90°<br> 120°<br> 180°
-BARSIC- [3]

Answer:

120 i think im pretty good a geometry

3 0
2 years ago
What is the answer to this problem if you need to find out the area?
PolarNik [594]

Answer:

17.28in

Step-by-step explanation:

To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:

7.2*4.8=34.56

34.56/2=17.28

8 0
3 years ago
Consider the initial value function y given by
Nuetrik [128]

Answer:

y(s) = \frac{5s-53}{s^{2} - 10s  + 26}

we will compare the denominator to the form (s-a)^{2} +\beta ^{2}

s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}

comparing coefficients of terms in s

s^{2} : 1

s: -2a = -10

      a = -2/-10

      a = 1/5

constant: a^{2}+\beta ^{2} = 26

               (\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = A(s-a)+B((s-a)^{2} +\beta ^{2} )

we insert the values of a and β

  \\5s-53 = A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

<em>the constants are</em>

<em>a = 0.2</em>

<em>β = 5.09</em>

<em>A  = 5.4</em>

<em>B = -2</em>

<em></em>

Step-by-step explanation:

  1. since the denominator has a complex root we compare with the standard form s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}
  2. Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
  3. substitute the values gotten into the function
  4. Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
  5. after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0
3 years ago
Is 1/2 is equal to 1/10+1/10+1/10+1/10+1/10?
belka [17]

Answer:

Yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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