149 rounded to the nearest hundredth

9514 1404 393

Answer:

  (13.06, 16.41)

Step-by-step explanation:

Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.

The midpoint of AB is ...

  (A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)

The midpoint of AC is ...

  (A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)

__

The differences between points are ...

  B -A = (25, 10) -(15, 3) = (10, 7)

  C -A = (0, 20) -(15, 3) = (-15, 17)

Then the perpendicular bisector equations can be written as ...

  bisector of AB  ⇒  10(x -20) +7(y -6.5) = 0

     10x +7x -245.5 = 0

  bisector of AC  ⇒  -15(x -7.5) +17(y -11.5) = 0

     -15x +17y -83 = 0

These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...

  x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06

  y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41

The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).

_____

Further detail regarding the solution

Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...

  R -S = (∆x, ∆y)

The midpoint of segment RS can be called ...

  (R +S)/2 = (h, k)

Then the line that is a perpendicular bisector of RS can be written as ...

  ∆x(x -h) +∆y(y -k) = 0

This is the form that is used above.

__

The "cross multiplication method" for solving a pair of general-form linear equations ...

  ax +by +c = 0

  dx +ey +g = 0

will give the solution as ...

  1/(ae -db) = x/(bg -ec) = y/(cd -ga)

If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.

  [tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]

Answer: B

Step-by-step explanation:

Answer:

1/5th

Step-by-step explanation:

trust me. ik how to do slopes

Answer:

r > 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

7r + 8 > 64 - r

Step 2: Solve for r

Here we see that any value r greater than 7 would work as a solution to the inequality.

Answer:

4800

Step-by-step explanation:

A day consist of 24 hours. Half of 24 is 12. 4 x 13 = 12 so 1600 x 3 = 4800.

Answer:

$635

Step-by-step explanation:

She made a total of $959 anad last year she made $324 so you then subtract the ammounts because the problem wants to know how much MORE she made.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The more amount made this year is $635.04

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Your friend made $324 babysitting last year.

This year she made 296% of what she made last year.

This means,

The amount this year.

= 296/100 x 324

= $959.04

The difference in the amount.

= $959.04 - $324

= $635.04

The difference in the amount can also be calculated as,

= 296% - 100%

= 196% more this year.

So,

196% of $324

= 196/100 x 324

= $635.04

Thus,

The more amount made this year is $635.04

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The value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left

Standard form can be defined as a mathematical way of writing large or too small numbers in a defined manner.

Given the standard form;

8.5 × 10–3

The negative exponent (-3) indicates an addition of three zeros ruled out from the start.

It could be written as;

0. 0085

This is 0. 9915 less than the value of 1

The impact of the negative value is that it moves the decimal point to the left.

Thus, the value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left

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Answer:

16/g

Step-by-step explanation:

Answer:

the correct answer is 16÷g

Step-by-step explanation:

why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g

Answer:

Wheres the question then i'll help

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The function that describes the one-sided limits at x = c.

[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex]  ( for some value of a).

A discontinuity is removable if the limit of the function at the point of discontinuity exists and the value of the function exists but they aren't equal to each other.

We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.

Function g(x) has a removable discontinuity at x = c,

where g(c) is undefined.

In this case, the statement that's is true for g(x) is that you can remove the discontinuity at x = c by defining g(c) = a.

The function that describes the one-sided limits at x = c.

[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex]  ( for some value of a).

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Answer:

Probability = the number of ways of achieving success. the total number of possible outcomes.

Step-by-step explanation:

For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

The solution to the system of equations is A. (-2, 2)

The system of equation was:

2x + 3y = 2 ..... i

y = 1/2x + 3 ...... ii

Substitute equation ii into i

2x + 3/2x + 9 = 2

Multiply through by 2.

7x + 18 = 4

7x = -14

Divide

x = 14/7

x = -2

Also, y = 1/2x + 3

y = 1/2(-2) + 3

y = -1 + 3

y = 2

Therefore, the solution to the system of equations is (-2, 2).

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Lukas graphed the system of equations shown. 2x + 3y = 2 y = A system of equations. 2 x plus 3 y equals 2. y equals StartFraction one-half EndFraction x plus 3.x + 3 A coordinate grid with 2 lines. The first line passes through the points labeled (negative 2, 2), (0, 0.67) and (1, 0). The second line passes through the points labeled (negative 2, 2) and (0, 3). What is the solution to the system of equations? (–2, 2) (0, 0.67) (0, 3) (1, 0)

Answer: There are 5 five minute intervals.

I hope this helps, and Happy Holidays! :)

Answer:

25, 5 minute intervals.

Step-by-step explanation:

Hope this helps and you have a great day!

Answer:

C. typing 210 words in 5 minutes

Step-by-step explanation:

Because 210 divided by 5 equals 42 over 1. :)

Answer:

C. Typing 210 words in 5 minutes

Step-by-step explanation:

42 words per minute, so think about this. 42 plus 42 is 84, so it is not A cause a to less than 84. And it is not Ba either cause 84 words is 2 minutes. 42×5=210

Answer:

14x + 124

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(9x + 29) + (93 - 5x) + (10x + 2)

Step 2: Simplify

Step-by-step explanation:

1, Rearrange the problem.

(9+29)+(9−5)+(10+2)

(9x+29)+(93−5x)+(10x+2)

(9+9)+(−5+93)+(10+2)

2, Solve.

14x+124

14x+124

Answer:

x = 30

Step-by-step explanation:

The interior angles of a triangle must always add up to 180.

2x + 2x + 3x - 30 = 180

Add 30 to both sides to seperate variables.

2x + 2x + 3x = 210

Combine like terms.

7x = 210

Divide by 7 to isolate x.

x = 30

Answer: 2.339

Step-by-step explanation:

Make sure that you align your decimal points. The 1 shouldn't line up with the 7.

Instead, write your equation like:

2.37

- 0.031

The numbers don't match up, but instead, the decimals do.

I hope this helps! :)

Answer: Yes. Dominic is correct

Step-by-step explanation:

We are informed that Two fifth of the students wrote a report. This also means that (2/5 × 100) = 40% = 0.4 wrote a report and 0.6 of the students gave a presentation.

From the decimals gotten, we can see that 0.6 is more than 0.4. Therefore, more students gave a presentation. This implies that Dominic is correct.

Answer: 8/27

Step-by-step explanation:

Just evaluate the equation.

Do it in this order: Parenthesis, Exponents, Multiply/Divide, Add/Subtract.

So:

16/81 = 16/81

16/81 To the Power of 3/4 = 0.2^0.75 = 8/27

Answer:

go to jesus

Step-by-step explanation:

put both hands together and pray we know your struggling

Answer:

120

Step-by-step explanation:

By the rule of opposite angles, we can determine that x=120 because:

AB is parallel to CD

120 degree angle (let's call it Y) is on AB

X (we can see that it is obtuse) is on CD

So, Y is congruent to X, vice versa, so x=120

hope this helps! :)

ibrahim

Answer:

10bags

Step-by-step explanation:

Answer:

10 bags.

Step-by-step explanation:

I got it right on my quiz- Edge2020

Answer:

If x+y=4×-y =6 then what is the question

Answer:

98 teaspoons

Step-by-step explanation:

Aashvi is making garlic naan. The recipe calls for 2 cups of flour, but Aashvi only has teaspoons. If 24 teaspoons are equal to 1/2 cup, how many teaspoons will Aashvi use to measure 2 cups of flour? *

From the above question, we understand that:

1/2 cup of flour = 24 teaspoons

2 cups of flour = x teaspoons

Cross Multiply

1/2x = 24 × 2

x = 48 ÷ 1/2

x = 48 × 2

x = 98 tea spoons

Therefore, Aashvi will use 98 teaspoons to measure 2 cups of flour.

Answer:

B)

Step-by-step explanation:

no. of Classes = x

cans = 220

220×x = 220x

no.of classes × cans = total number of cans

Answer:

?

Step-by-step explanation:

Answer:

1,2,4

Step-by-step explanation:

Answer:

Trust the person above me, they're correct it's A,B,D

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

baqhBajBjabajabqj