Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

The diagram is not drawn to scale. < AOC=

Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation. As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.

Given option shows the different translation and rotation of the original figure. It has to be known about the translation before checking the correct option.

Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation.

As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.

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The table that correctly describes the given quadratic equation is table D.

A general quadratic equation is written as:

[tex]y = a*x^2 + b*x + c[/tex]

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

In this case, the quadratic equation is:

[tex]y = -2x^2 + 4[/tex]

Then we have:

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

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The similarities and differences in a non-fiction text look at how the subject or events are portrayed.

Comparing non-fiction texts can focus on the similarities between the texts - things they have in common. You can also contrast texts and focus on their differences - things that set the texts apart from each other. You could compare and contrast the following:

Form – What types of text (letter, news report, etc) are they?

Purpose – What job (persuading, informing, advertising) is each text doing?

Audience – Who is the intended reader of the text?

Subject matter – What are the texts about?

Language choices – What kinds of words, images or rhetorical devices are being used?

Structure – How is the text ordered?

Tone – What is the overall tone or mood of the writing?

Non-fiction texts are all around us, and comparing them can help you become more aware of how language is being used in society. Comparing non-fiction texts can often prompt you to notice things that you might not have considered about a text in isolation.

Hence the similarities and differences in a non-fiction text look at how the subject or events are portrayed.

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Since the variable x is the numerator of the fraction, we first need to multiply each side by 6, since the denominator is 6. After doing this, the equation should now look like this: [tex]18 = x + 31[/tex]. Next, we subtract 31 from 18 following the rule. 18 - 31 = -13. x is equal to -13.

For shown work in order:

[tex](6) 3 = x +31[/tex]

[tex]18 = x + 31[/tex]

[tex]18 - 31 = x[/tex]

[tex]x = -13[/tex]

Answer: A

Step-by-step explanation:

[tex]$$Solve for $x$ :$$(x+5)(2 x-7)=0$$Split into two equations:$$x+5=0 \text { and } 2 x-7=0$$Subtract 5 from both sides: $x=-5$ and $2 x-7=0$ \\Add 7 to both sides: $x=-5$ and $2 x=7$\\Divide both sides by 2:\\Answer:$$x=-5 \text { and } x=\frac{7}{2}$$[/tex]

Rounding up for 2nd zero = 7/2 = 3.5

Therefore, the zeroes of the function (rounded to whole numbers) are x = -5 and x = 4

Answer:

the answer is c

Step-by-step explanation:

to find the zeros set

f

(

x

)

=

0

(

3

x

−

5

)

(

2

x

+

7

)

=

0

equate each factor to zero and solve for x

2

x

+

7

=

0

⇒

x

=

−

7

2

3

x

−

5

=

0

⇒

x

=

5

3

Base radius is 5in

Height=8in

Volume

Answer:

Volume = 13.3 in³ (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

[tex]\textsf{Base area of a cone = area of a circle}=\sf \pi r^2[/tex]

[tex]\implies \textsf{Volume of a cone}=\sf \dfrac{1}{3} h \times \textsf{base area}[/tex]

Given:

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume of a cone} & =\sf \dfrac{1}{3} (8)(5)\\\\ & = \sf \dfrac{40}{3}\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

Answer:9514 1404 393

Answer:

 h = 3V/(πr²)

Step-by-step explanation:

The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.

_____

Additional comment

Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.

 V = ah   ⇒   V/a = (ah)/a = h(a/a) = h·1 = h

Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

A ray can have 2 endpoints

And because of that it can be named more than one way.

That means that  B&E are wrong

total no of cards = 40

p(blue) = 8 out of 40

p(orange) = 8 out of 40

p(blue or orange ) = 16 out of 40

16÷40 = 2/5.

Answer:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

Step-by-step explanation:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

Answer: 42 easy!

Step-by-step explanation: 42 hope this helps

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39  = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33    meaning    d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]

[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]

Hope it helps !

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]

Answer:

Step-by-step explanation:

Given a right angle triangle ABC.

If ∠BCA = 90°

the hypotenuse AB = 26

AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

Answer:

         [tex]\ tan \ A = \dfrac{24}{10}[/tex]

Step-by-step explanation:

[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]

Answer:

Answer with explanation is below~

Step-by-step explanation:

We could easily obtain the formulae/formula of an equilateral triangle not only through Pythagoras Theorem, but also through Heron's formula.

INTRODUCTION:

What's equilateral triangle?

What's Heron Formula?

[tex] \boxed{\rm \: Area= \sqrt{s(s - a)(s - b)(s - c)} \: units ^{2}} [/tex]

Where,

What's Pythagoras' Theorem?

SOLVING:

Let,ABC an equilateral triangle of sides a.

Now:Draw a perpendicular straight line AM to the side BC(Name each part of triangle)

So it's clear that ∆AMB is a right angled triangle at M, BM = (1/2)BC = a/2.

Please note AM here represents the height of ∆ ABC.

[tex] \boxed{\rm \: AM = \sqrt{AB^2-BM^2}}[/tex]

[tex] \rm \: AM = \sqrt{a {}^{2} - { \bigg( \cfrac{a}{2} \bigg) }^{2} } [/tex]

[tex] \rm \: AM = 3 \: \cfrac{a {}^{2} }{4} [/tex]

[tex] \rm \: AM = \cfrac{ \sqrt{3} }{2} \: a[/tex]

Now find the area of ∆ABC:

[tex] \rm \triangle \: ABC = \cfrac{1}{2} \times \: BC \times A [/tex]

[tex] \rm \: \triangle \: ABC = \cfrac{1}{2} \times a \times \cfrac{ \sqrt{3}}{4}a [/tex]

[tex] \boxed{\rm\triangle \: ABC = \cfrac{ \sqrt{3 } }{4} a {}^{2} \: units {}^{2}} [/tex]

Hence,the formulae of equilateral triangle using Pythagoras' theorem is {√(3)/4} a^2

[tex] \rule{225pt}{2pt}[/tex]

Extras:

Now let's find the area using Heron's Formula.

Solving:

Let each side of an equilateral triangle be a.

SO, then:

s = (3a/2)

We know that, (Heron's formula)

[tex] \rm \: A = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Now the area A :

[tex]\rm AR(A)= \sqrt{ \cfrac{ 3a } 2 \bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)} [/tex]

[tex]\rm AR(A)= \sqrt{ \cfrac{3a}{2} \bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)}[/tex]

[tex]\rm \boxed{ \rm AR(A)= \cfrac{ \sqrt{ 3a}}{4} \: a {}^{2} \: \: units {}^{2}} [/tex]

And voila! we're done!

I hope this helps! :)

[Figure of Equilateral triangle is attached, it denotes the triangle we need to draw while finding the formulae through Pythagoras' theorem. ]

Answer:

the binomial coefficient

Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

Step-by-step explanation:

1) Reagrupar términos.

3(5x + 1) = 15x^3

2) Divide ambos lados por tres.

5x + 1 = 5x^3

3) Mueva todos los términos a un lado.

5x + 1 - 5x^3 = 0

4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.

x=−0.878886,−0.209148,1.088033

Answer:

option b, 205

Step-by-step explanation:

Each dot on the line plot represents a different length of the ribbon,

To find the total length of the ribbon you add all the different length that was cut,

3(11.5) + 5(12) + 1(12.5) + 2(13.5) + 4(14) + 1(15)

34.5 + 60 + 12.5 + 27 + 56 + 15 = 205

205

hope it helps...!!!

thx for points

Answer:

what is this question man .......

Answer:

d

Step-by-step explanation:

that's the answer to the question

The amount of money spent by these persons individually will be $ 93, $116, and $ 99.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.

Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.

Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.

Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.

If brand P costs € 4, Q costs € 5, and R costs € 6 each.

Then the amount of money spent by these persons individually will be

Then these are shown in the form of a matrix. Then we have

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]

Then the amount of money spent by these persons individually will be

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]

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Answer:

we can get the difference by just subtracting -1 and +1 which will give us 0

Answer:

15

Step-by-step explanation:

- 360 degrees in a complete circle you divide it by 24

360/24=15

Answer:

  5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

__

  4.6×10^5 +6.7×10^4

  = 4.6×10^5 + 0.67×10^5

  = 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

__

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.

A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.

Volume = length x width x height

Width = volume / (length x height)

49 / (2 3/4 x 5 1/2) = 3.2 inches

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Answer:3.2

Step-by-step explanation: