Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.

Answer:

  151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

  a·b = c   ⇒   a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

  4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

  423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

  151434/358 = 423

Answer:

y = -5x - 18

Step-by-step explanation:

you have your slope, just set x equal to -4 and your y to 2

2 = -5(-4) + b

2 = 20 + b

-18 =  b

Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:

Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.

Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:

= 16 + 12 + 12

= 40 bags

In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.

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Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

Answer:

  a. p/7

  b. 21; 35

Step-by-step explanation:

To find the number of pages in each folder, divide the number of pages by the number of folders.

a. There will be p/7 pages in each folder.

b. 147 pages will result in 147/7 = 21 pages in each folder

  245 pages will result in 245/7 = 35 pages in each folder

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

Answer:

No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.

Step-by-step explanation:

The formula is

F=(9/5) C+ 32

F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.

In mathematics, a direct proportion has the form

y=mx

where m is a constant.

If the formula had been F=(9/5) C, it would have been a direct proportion.

However, the addition of the + 32 term makes the formula no longer a direct proportion

Answer:

Shape 2 and 3

Step-by-step explanation:

shape 1 is not enclosed so it cannot have area

M list the sides of ABC in order from shortest to longest

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

Answer:

answer 215 nickels

Step-by-step explanation:

Answer:

9.1

Step-by-step explanation:

Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.

50% of 14 is 7

10% of 14 is 1.4

5% of 14 is 1/2 of 10% of 14 which is 0.7

50% + 10% + 5% = 65%

Add them together: 7+1.4+0.7 = 9.1

Elliete's percentile rank is 96% for a score less than or equal to 246

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 182, σ = 36

For x ≤ 246:

[tex]z=\frac{246-182}{36}=1.78[/tex]

From the normal distribution table:

P(x ≤ 246) = P(z < 1.78) = 0.9625 = 96%

Elliete's percentile rank is 96% for a score less than or equal to 246

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Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

Answer:

3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)

Answer:

It’s a decimal, (0.42857142857)

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

Answer:

0.54

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

calculator. easy.

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

✌️❤️✌️

Answer:

17

Step-by-step explanation:

17 green marbles!

Answer: r=1:18 PREMISES If a jar contains 18 marbles consisting of 15 blue, 2 red, and the rest green, then r=the ratio of green marbles to all of the marbles ...

4 answers

·

1 vote:

Let g= number of green marbles. Blue +red + green = All marbles. So 18

Step-by-step explanation:

Step-by-step explanation:

You know that all the degrees in a hexagon is 720.

84+87+128+150+103=552

Subtract 552 from 720.

You don't want x so just do 720-552=x

Answer

4= 55 and 3/4 5= 4 2/5    6= 6 and 1/2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I did #4 for you:

[tex]11\frac{8}{9}+5\frac{1}{2}[/tex]

[tex]11+5+\frac{8}{9}+\frac{1}{2}[/tex]

[tex]16+\frac{16}{18}+\frac{9}{18}[/tex]

[tex]16+\frac{24}{18}[/tex]

[tex]16+\frac{4}{3}[/tex]

[tex]16+1+\frac{1}{3}[/tex]

[tex]17\frac{1}{3}[/tex]

It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.

Answer:

1.27? :v

Step-by-step explanation:

porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

The y-intercept is the constant in the equation: -72.

__

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

The graph that has the correct vertex and x-intercepts is Graph A.

Answer:

  x < -3 or x > 4

Step-by-step explanation:

The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).

The factors tell you the following about the zeros:

  x = -3 . . . sign change from + to -

  x = -1 . . . graph touches, but no sign change. - on either side of x=-1

  x = 4 . . . sign change from - to +

__

The function will be positive for x < -3 and for x > +4.

_____

Additional comments

The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.

However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.

The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).

The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively

Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]

If x = 0, then;

[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]

If x  = 2

[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]

If x = 4;

[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]

Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively

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Answer:

a =  ⇒ 1 

b = ⇒ 1/16

c = ⇒ 1/256

d =  ⇒ 1 

e =  ⇒ 4/9

f =   ⇒ 16/81