FInd the circomference of the circle

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

\(z = 29°\)

Step-by-step explanation:

According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for \(\triangle{ABD},\) the sum of its interior angles is

\(43 + 59 + x = 180\)

\(\Rightarrow x = 78°\)

But \(\angle{x}\) is supplementary with \(\angle{y}\) so that

\(x + y = 180 \Rightarrow y = 180 - 78 = 102°\)

Now that we know the value of y, we apply the triangle angle sum theorem to \(\triangle{BDC}\) and we get

\(49 + y + z = 180 \Rightarrow 49 + 102 + z = 180\)

Solving for z, we finally get

\(z = 29°\)

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

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The third-harmonic frequency of a string refers to the frequency at which the string vibrates in three equal parts.

The position of a point on the string that has half the maximum amplitude can be determined using the wave equation for the string. In this case, the point is 25 cm from the left end, and the equation for the displacement of the string at this point can be written as:

y = A × sin(2 × pi × f × t - kx)

where A is the maximum amplitude, f is the frequency, t is time, k is the wave number and x is the distance from the left end. The wave number can be related to the frequency and wavelength by the equation:

k = 2 × pi / lambda

Substituting the value of k into the equation for the displacement and solving for x when y = A / 2, you can find the position of the point on the string with half the maximum amplitude.

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I HOPE IT'S HELP PLZ FOLLOWING ME

The surface area of the rectangular prism is 46m²

Surface area of a rectangular prism = 2(width×length + height×length + height×width)

SA = 2(wl + hl + hw)

= 2(2.5×4 + 2×4 + 2×2.5)

= 2(10 + 8 + 5)

= 2(23)

= 46m²

Therefore, the surface area of a rectangular prism is 46m²

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Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in \( y = kx \).

Unit rate or k = y/x

Using the point, (4, 1),

k = \( \frac{1}{4} \)

Substitute k = ¼ in \( y = kx \)

✅The equation would be:

\( y = \frac{1}{4}x \)

8. The graph Franco made is incorrect.

The equation, \( y = -x \), shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, \( y = -x \) is not correct.

9. a. Proportional relationship can be represented as \( y = kx \). To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in \( y = kx \)

✅The equation would be:

\( y = 12x \)

b. We know an equation is represents a proportional relationship, when it is tales the form, \( y = kx \). Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, let's define each of the terms.

Scalene refers to triangles whose three sides and three angles all have different measures.

Isosceles refers to triangles who has two equivalent angles and sides.

Right triangles are triangles with one right angle.

So we know that the triangle has one 90 degrees and 2 45 degree angles.

In other words, this is an isosceles triangle.

And since it also contains a 90 degree angle, it means that the triangle is an isosceles right.

The answer is D

The values of the given polynomial function are:-

(a) f(0) = 12,

(b) f(2) = 44 and,

(c)  f(-2) = 36

Given polynomial function:-

\(f(x)=x^3+7x^2-2x+12\)

We have to find the values of the given polynomial function.

Putting x = 0 in the given polynomial function, we get,

\(f(0)=(0)^3+7(0)^2-2(0)+12\)

f(0) = 0 + 0 - 0 + 12 = 12

f(0) = 12

Putting x = 2 in the given polynomial function, we get,

\(f(2)=(2)^3+7(2)^2-2(2)+12\)

f(2) = 8 + 28 - 4 + 12

f(2) = 44

Putting x = -2 in the given polynomial function, we get,

\(f(-2)=(-2)^3+7(-2)^2-2(-2)+12\)

f(-2) = -8 + 28 + 4 + 12

f(-2) = 36

Hence, we have found the values of each of the given values of x.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

The two consecutive integers will be 99 and 100.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of two consecutive integers is 199.

Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be

x + x + 1 = 199

2x = 199 - 1

2x = 198

x = 198 / 2

x = 99

Then the two consecutive integers will be 99 and 100.

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Answer:your

Step-by-step explanation:

mom

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

-2

Step-by-step explanation:

Slope equals rise over run. The line goes forwards by two and down by 4 between the two charted points, so the slope would be -4/2 or -2.

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

∪

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

∪

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

∪

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

∪

−x+1 < x+1

−1 ≤ x < 1

∪

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

The new price of the item is equivalent to $3.25.

Given is that the price of an item has been reduced by 95%. The original price was $65

Assume the new price to be $[x]. So, we can write -

x = 65 - {95% of 65}

x = 65 - {(95/100) x 65}

x = 65 - {6175/100}

x = 65 - 61.75

x = 3.25

Therefore, the new price of the item is equivalent to $3.25.

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The expression used to find the width using division is:

W = A/L

We know that for a rectangle of width W and length L, we know that the area is given by the product between these two dimensions, then:

A = L*W

We want a expression using division that can be used to find the width, so, suppose we know the values of the area and the length, the we can divide both sides by L to get:

A/L = W

This expression gives the width.

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The term formula for a geometric progression where the second term is 54, the fourth term is 6, and the common ratio is 0.5 is Un = 108 * (0.5)n-1.

In a Geometric Progression (G.P.), each term is the product of the previous term and a constant multiplier (known as the common ratio). To begin, identify the common ratio (r) by using the formula r = Un / Un-1. If the second term is 54 and the fourth term is 6, then the common ratio (r) is √(6/54) = 0.5.

Once we have established the common ratio, we can find an arbitrary term of the progression using the formula Un = U1 * r(n-1). However, since we don't know the first term, we can derive it from U1 = U2 / r, substituting our given values, we find U1 = 54 / 0.5 = 108.

Now, we can substitute U1 and r into our term formula to find any term (n) in the series: Un = 108 * (0.5)n-1.

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The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).

Given the expression in the question:

q² - 4

To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.

The difference of squares formula states that :

a² - b² can be factored as (a + b)(a - b).

Given that:

q² - 4

Replace 4 with 2²
q² - 2²

From this expression, let a = x and b = 2

a² - b² =  (a + b)(a - b)

q² - 2² = (q + 2)(q - 2)

Therefore, the factored form is (q + 2)(q - 2).

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Answer:

NO

Step-by-step explanation:

since the interval contains values above 0.5, it is plausible that more that 50% of students prefer using a computer for notes.

Using the given confidence interval, since it's upper bound is above 50%, the newspaper is not justified in this statement.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Hence, in this problem, we are 99% confident that the proportion is between 0.322 and 0.511. Since the upper bound of the interval is above 50%, there is not enough evidence to say that the proportion is below 50%, hence the newspaper is not justified in this statement.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

16 ounces per person

Step-by-step explanation:

8 x 12= 96 ounces

96 divided by 6 people  = 16 ounces per person

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

32