Complete the conversion.16 cm =mClick the icon to view the metric units of length.16 Metric Units of Length(Type an integer or a decimal.)

The measure of the arc angle x is 83 degrees.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

The chords intercept and formed an arc angles of x and 189 degrees. The inscribed angle formed is 53 degrees.

Therefore, let's find the arc angle x as follows:

Hence,

53 = 1 / 2 (x + 189)

53 = 1 / 2x + 94.5

94.5 - 53 = - 1 / 2 x

41.5 = - 1 / 2 x

cross multiply

-x = 83

x = -83 degrees

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So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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The probability that all 3 stolen books are not English novels is 0.6667

Given data ,

If there are 12 books in total, and 4 are English novels, then 8 are not English novels.

When 3 books are stolen, there are 9 books left, out of which 8 are not English novels.

The probability that the first stolen book is not an English novel is 8/9.

The probability that the second stolen book is also not an English novel is 7/8 (since there are now only 8 books left).

The probability that the third stolen book is also not an English novel is 6/7 (since there are now only 7 books left).

So the probability that all 3 stolen books are not English novels is:

(8/9) * (7/8) * (6/7) = 0.6667

Hence , the probability is 0.667

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

-10 + 40 = 30

-12 + 5 = -7

Step-by-step explanation:

Answer:

yes, it is right triangle

Step-by-step explanation:

to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.

next, the angle between 12 and 5 must be 90 to prove that it was right triangle

to prove that, let's use cosinus theorem

\( {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90\)

from that, we know it is a right triangle

Answer:

24 ways

Step-by-step explanation:

1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.

2) For this case we need a two figure number. Since we have seven numbers.

Since there is no repetition, all the possibilities are:

\(7*6=42\)

3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:

13 15 17

24 26

31 35 37

42 46

51 53 57

62 66

71 73 75

18 non desirable results

The total arrangements minus the not possible combinations, will match the possible results:

\(42-18=24\)

3) Just for checking, we have here the allowed combinations:

12 14 16

21 23 25 27

32 34 36

41 43 45 47

52 54 56

61 63 65 67

72 74 76  

A total of 24 possible ways.

The answer is 27 for your math

Step-by-step explanation:

The Solution.

Step 1:

We shall find the third angle in the triangle.

Step 2:

we shall determine the proportion to find side b by applying the Sine Rule.

Answer:

Radius because to calculate the radius it is much simpler to find than the angle. It would require very complex tools to calculate the degrees back then. Thus radius came first.

Hope I helped!

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7

Answer:

false!~

Step-by-step explanation:

numbers go on forever in both directions

Answer:

The main flaw of this  proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Step-by-step explanation:

From the question we are told that

   The  proof is

Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.  

 Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp

Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps

  FLAW IDENTIFICATION

Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp  and this is not correct according the statement in the basic step

Generally the main flaw of this  proof is that it did not take into  consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Answer:

420

Step-by-step explanation:

420 69

Answer:

Step-by-step explanation: Answer is 2√17 units

Distance =√ (−2−0) ^2−(5−(−3)) ^2

=√ (−2) ^2−(5+3) ^2

=√4+64

=√68

=2√17 units

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy) = 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy)\)

\(\qquad \tt \rightarrow \:(3 {a}^{2} \sdot3 {a}^{2} ) + (3a {}^{2} \sdot7xy) - (7xy \sdot3 {a}^{2} ) - (7xy \sdot7xy)\)

\(\qquad \tt \rightarrow \:9 {a}^{4} + 21a {}^{2} xy- 21 {a}^{2} xy - 49 {x}^{2} {y}^{2} \)

\(\qquad \tt \rightarrow \: 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

or

Apply property :

\(\qquad \tt \rightarrow \: (p + q)(p - q) = {p}^{2} - {q}^{2} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

you can make 12 cans of them

Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

+20° to -25° = 45° C/F temperature change

Step-by-step explanation:

Answer:

First, add the numbers in the data set. Then, divide the sum by the number of numbers. The quotient is the mean.

I hope this helps!

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem.  Name the hypotenuse (longest side) c and the bottom side b.  Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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The slope between point A & C and C & E are equivalent fractions. the similar triangles they form prove that no matter what 4 points are picked on the line, the slope will be the same.

The slope of a line indicates its steepness and direction. Finding the slope of lines in a coordinate plane can help predict whether they are parallel, perpendicular, or have no relationship at all without actually using a compass.

The slope of any line can be determined using any two distinct points on the line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two various points on a line.

from the given figure,

Coordinate of point A = 3,2, Coordinate of point C = 9,6 and Coordinate of point E = 12,8.

Slope of AC (m₁) = 0.67

and Slope of CE (m₂) = 0.67

SO that, the slope between point A & C and C & E are equivalent fractions.

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Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

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Answer:

62.8 inches

Step-by-step explanation:

C=2pir= 62.8

Answer:

1 is false

2 is true

3 is false

4 is false

Step-by-step explanation:

y-33=-2

y-33+32=-2+33

y=31

31=3x-2

31+2=3x-2+2

33=3x

33/3=3x/3

11=x

solution is (11,31)

graph of y=-3x-2... y=31 would be a horizontal line on 33 at the y axis

Answer:

  (a)  3x +y = 2

Step-by-step explanation:

You want the equation y = -3x +2 written in standard form.

The standard form of a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.

To put the given equation into that form, we can add 3x to both sides:

  3x +y = 3x -3x +2

  3x +y = 2

Answer:

(28+19+25)-(32-9)=72-23

=49