convert the radians to degrees

The missing values a, b, c, d and e are included in the given two-way table. The correct values from the options are: a =15, b=18,e=31

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

For this case, the table given is:

[tex]\begin{array}{cccc}\rm &\rm \text{Likes swimming}&\rm \text{Doesn't like swimming}&\rm Senior\\\rm \text{Likes baseball}&a&b&33\\\rm \text{Doesn't likes baseball}&c&13&d\\\rm Total & 39& e& 70 \end{array}[/tex]

From this table, we can make 5 equations as:

[tex]a+b = 33\\a+c=39\\b+39=e\\33+d = 70\\39+e=70[/tex]

From the last two equations, we get the values of d and e as:

[tex]d = 70-33 = 37\\e = 70-39 = 31[/tex]

Putting this value of 'e' in last third equation, we get:

[tex]b + 13 = 31\\b = 31-13= 18[/tex]

From this, and first equation, we get:

[tex]a +18 = 33\\a=33-18=15[/tex]

And from this value of a, and second equation, we get:15+c = 39

[tex]c = 39-15 = 24[/tex]

Thus, the correct values are: [tex]a =15, b=18,e=31[/tex]

Learn more about two-way table here:

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Answer:

a,b,e

Step-by-step explanation:

Answer:

x=-5,-1

Step-by-step explanation:

Answer: Use this formula

Area = (number of sides × length of one side × apothem)

Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Answer:

ABS Error: 0.05 cm

PERC Error: 0.40%

Step-by-step explanation:

Absolute error: Absolute difference between the actual dimension, and its measure. Measured in the same dimension as what we're measuring

(Remember the absolute)

ABS Err: | 12.25 cm - 12.2 cm | = 0.05cm

Percent error: Percentual difference between the actual dimension and its measure. Always measured in Percents

PERC Err: | (12.25 - 12.20) | / 12.25 = 0.0040 ≈ 0.40%

Answer:

27

Step-by-step explanation:

here we remark that we have a proportional relationship Between the number of seeds and the number of flowers

Let x be the number of seeds we need in order to guarantee that 45 flowers grow.

8 seeds ————————-> 5 flowers

x seeds ————————-> 45 flowers

in order to find x ,We have to solve this equation :

[tex]\frac{x}{8}=\frac{45}{5}[/tex]

⇔ x/8 = 9

⇔ x = 8×9 = 72

“how many seeds did not grow” : 72 - 45 = 27

Answer:

A, B, E

Step-by-step explanation:

the 3 angles of a triangle must add up to 180

A. 10 + 10 + 160 = 180

B. 15 + 75 + 90 = 180

C. 20 + 80 + 100 = 200

D. 35 + 35 + 105 = 175

E. 60 + 60 + 60 = 180

The probability that his model rocket has landed in a grassy area will be equal to 0.4.

The extent to which an event is likely to occur, is measured by the ratio of the favorable cases to the whole number of cases possible.

The total area of the land will be = 5+15+30=50 acres

Now the total grassy area will be =15+5=20 Acres

Now the probability of the model rocket to land on the grassy land will be:

[tex]P=\dfrac{Grassy\ area}{Total\ area}[/tex]

[tex]P=\dfrac{20}{50}=0.4[/tex]

Hence the probability that his model rocket has landed in a grassy area will be equal to 0.4.

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Answer:

C.10.0%

Step-by-step explanation:

Edge 2023!

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Answer:

rp=20 :: pp=90

Step-by-step explanation:

Well, if it's 10% off then we know that the percent paid is 90%

Now, 18 is 90% of 20, so the regular price is $20

[tex]\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 = \dfrac 53\\\\\implies \left(x-\dfrac 23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac 23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 = \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\[/tex]

[tex]\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies 3x = 2\pm \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are rational .}[/tex]

Step-by-step explanation with the answer:

Use the given functions to set up and simplify (f−g) & (x) . -3 x -3

Answer:

does not have

Step-by-step explanation:

the function will never equals zero. because x² is always a positive number. The minimum is 49.

Answer:

no step-by-step answer

x= 7 and x= -7

Answer:

Substitute: 22 * 3 + 4 Calculate the sum or difference:22 * 7 Calculate the power:4 * 7Calculate the p.

Step-by-step explanation:

please all i need is one more brainliest

Answer:

Area = 169.7 in^2

Step-by-step explanation:

The two given angles are 90 and 60 degrees.  Since a triangle's angles always add to 180 degrees, the third angle is 30 degrees.  The is known as a "30-60-90 triangle."   It is a special right triangle that has side length values which are always in the same relationship with one another.

The sides of the  30-60-90 triangle ratio are:

Side opposite the 30° angle is x

Side opposite the 60° angle is x*√3

Side opposite the 90° angle is 2x

See attached image for the detail on the calculations.

Answer:

1)you must miss the exam &u get start study

2)y=mx+b

3)

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

21 - 147 ≠ 3 - 21

Hence the sequence is not arithmetic

A geometric sequence has a common ratio r between consecutive terms

[tex]\frac{21}{147}[/tex] = [tex]\frac{1}{7}[/tex] and [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]

there is a common ratio thus the sequence is geometric

The triangle xyz has three sides and three angles

Neither law can be used to solve the triangle

From the question, we understand that only the angle measures are given.

The law of sines is represented as:

x/sin(X) = y/sin(Y) = z/sin(Z)

The law of cosine states that:

x^2 = y^2 + z^2 - 2yz cos(X)

The above laws require at least one of the side lengths of the triangles.

Since the side lengths are not given, then none of the laws can be used

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Answer:

389586

Step-by-step explanation:

2345 +387241= 389586

Answer:

119 square yards

Step-by-step explanation:

assuming that the parallelograms height is 8 (11 - 3) we can find the area of the bottom

13 * 8 = 104

assuming that the rectangles length is 5 (13 - 8) we can find the area of the top

3 * 5 = 15

then add those

104 + 15 = 119

Answer:

$3

Step-by-step explanation:

8% of $25 is $2. $25 + $2 is $27. $30 - $27 is $3.

Answer: Up, Down, Left, Right

Step-by-step explanation:

A translation is when you move an object on a coordinate plane. You can move it up and down the y-axis, and left and right on the x-axis.

For example, imagine a triangle on a coordinate plane (it looks like a grid). You can move the triangle to the left, the right, up, down, or any combination of those movements. Therefore, the answer to the 4 blanks are Up, Down, Left, and Right.

Answer:

x = 3

So,

PQ= 5

RS=6

Step-by-step explanation:

Hope it helps you.....

Answer:

432 cubes

Step-by-step explanation:

(9)(8)(6)=432

Hope this helps

Answer:

  432

Step-by-step explanation:

The front face of the prism (green) is 6 cubes high and 8 cubes wide. So, the front layer of cubes is 6×8 = 48 cubes.

The figure shows you there are 9 layers like this making up the whole prism.

Then the volume of the prism is ...

  (9 layers) × (48 cubes/layer) = 9×48 cubes = 432 cubes

There are 432 cubes currently in the prism.

_____

Additional comment

The picture here does not ask for the surface area of the prism. The area would be the sum of the areas of each of the surfaces.

The three surfaces we can see (red, green, blue) have areas of 9×8 = 72, 6×8 = 48, and 6×9 = 54 square units, respectively. These areas total 174 square units, but represent only half of the total area.

The other half of the area is the same (each hidden face has the same area as its visible opposite). So, the total surface area of this prism is 2×174 = 348 square units. (1 unit = small cube edge length).

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

       x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

      (x + 4)(x + 4) = 0

              (x + 4)² = 0

                        x = -4

More about the factorization link is given below.

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Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

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Answer:

z = 31

Step-by-step explanation:

A triangle adds up to 180 degrees

Therefore this equation is formed: 61 + 3z + z -5 = 180

Simplify:

4z = 124

z = 31

Answer:

The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).

Step-by-step explanation:

might be the anwser ion know

Answer:

Area is length x width.

Step-by-step explanation:

Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.

The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial equation is given below.

[tex]\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3[/tex]

The equation can be written as

[tex]\rm x ^3-5 x ^2+7 x+ 13 = 0[/tex]

The equation has a complex root [tex]- 3 \pm 2 \iota[/tex]

Put x = -1, then we have

[tex]\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}[/tex]

The equation is satisfied by the negative one. Then the negative one is the third root of the equation.

More about the polynomial link is given below.

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Answer:

B on edge

Step-by-step explanation:

because B is -1

Answer:

the percentage decrease is 60.2622577%

Step-by-step explanation:

1754-703/1754*100

1057/1754*100

105700/1754=60.2622577%