Please help. Don’t understand

Please Help. Dont Understand

Answers

Answer 1

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

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Related Questions

Pa answer po thank you



Answers

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

a family has three children child a child be and child C child a is younger than child see child be is not older than child a from youngest to oldest how are the children ordered by age​

Answers

Answer:

I'd say the order from youngest to oldest, would be B A C.

Step-by-step explanation:

My reason is that, A is younger than C or in other words C is older than A. Also B is NOT older than A, so therefore B must be younger than A.

So from youngest to oldest, B is younger than A, A is younger than C, and that means C is the absolute oldest out of the three children.

Hope this helps you :)

Sorry if it didn't though.

I need help with number 2 please

Answers

Answer:

B

Step-by-step explanation:

2.

what is the middle between 2 numbers (any numbers, really) ?

you add both numbers and divide the result by 2.

the same here :

(-3 + 24) / 2 = 21/2 = 10 1/2

proof :

what is the distance from -3 to 10 1/2 ? it is 10 1/2 from 0 to 10 1/2 plus 3 from -3 to 0 = 10 1/2 + 3 = 13 1/2.

what is the distance from 10 1/2 to 24 ? it is 13 from 11 to 24, and another half from 10 1/2 to 11. so, in total 13 1/2.

both distances are equal, so it is proven for 10 1/2 to be the midpoint.

Please help on this math question!!!

Answers

I think it’s gonna be 6 adults for every 42 students not really sure so sorry if I got it wrong

Determine two coterminal angles in radian measure (one positive and one negative) for each angle.

Answers

The two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4) rad] respectively.

What is coterminal angle ?

Angles having the same terminal side at standard position are called coterminal angles.

Although the magnitudes of coterminal angles varies, they all have the same sides and vertices.

Positive or negative coterminal angles are possible. The positive coterminal is obtained by adding 2 rad or 360° to the negative coterminal, while the negative coterminal is obtained by removing 2 rad or 360°.

For figure 1;

The positive coterminal angle is found as;

[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} + 2 \pi \\\\ \rightarrow\frac{13 \pi}{4} \ rad[/tex]

The negative coterminal angle is found as;

[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-3 \pi}{4} \ rad[/tex]

For figure 2;

The positive coterminal angle is found as;

[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{-9\pi}{4} + 2 \pi \\\\ \rightarrow\frac{7 \pi}{4} \ rad[/tex]

The negative coterminal angle is found as;

[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{-9 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-17 \pi}{4} \ rad[/tex]

Hence,the two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4)] respectively.

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PLEASE HELP!!!!!!! IMA DESPRATE!!!!!!! A radioactive isotope decays exponentially. The time it takes for half of the amount to decay is called the isotope's half-life. If an isotope has a half-life of 16 hours and you initially have 154 mg, how much will you have left after 64 hours? Round to the nearest thousandth.

Answers

Since the isotope is initially 154 mg, the amount of radioactive isotope left after 64 hours is 9.625 mg

To answer the question, we need to know what radioactive decay is.

What is radoactive decay?

Radioactive decay is the spontaneous disintegration of a larger atom to a smaller one

What is half-life?

Half-life of a radioactive isotope is the time it takes for the isotope to decay to half its initial value.

Amount left after n half lives

The amount left after n half lives is N = (1/2)ⁿN₀ where N₀ = initial mass of isotope.

Given that the half-life of the isotope is 16 hours, and we desire the amount present after 64 hours.

The number of half-lives after 64 hours is n = time/half-life

= 64 h/16 h

= 4

Since we have 154 mg of isotope present, N₀ = 154 mg

Given that

n = 4 and N₀ = 154 mg

Substituting the values of the variables into N, we have

N = (1/2)ⁿN₀

N = (1/2)⁴ × 154 mg

N = 154 mg/16

N = 9.625 mg

So, the amount of radioactive isotope left after 64 hours is 9.625 mg

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Conic sections provide a format that makes them fairly uncomplicated to draw manually. The true sense
of mastery is to take a graph of a conic section and develop the equation
Your job is to simply come up with the equations for the two
graphs.

Answers

The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.

What is an ellipse?

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

Conic sections provide a format that makes them fairly uncomplicated to draw manually.

Then the equation of the ellipse will be

(x - 5)² / 16 + (y + 7)² / 64 = 1

Then the equation of the hyperbola will be

(x + 1)² / 4 - (y)² / 64 = 1

The graphs are given below.

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A pot of soup, currently 16°C above room temperature, is left out to cool. If that temperature
difference decreases by 6% per minute, then what will the difference be in 16 minutes?
If necessary, round your answer to the nearest tenth.

°C

Answers

Answer:

5.9 C

Step-by-step explanation:

Plug in 16°C for the initial amount, 0.06 for the rate of decrease, and 16 minutes for the time elapsed.

y= a(1–r)t

y= 16(1–0.06)16 Plug in values

y= 16(0.94)16 Subtract

y= 16(0.37157…) Simplify

y= 5.94518… Multiply

Round to the nearest tenth.

5.94518… → 5.9

To the nearest tenth, the difference in temperature will be 5.9°C.

Solve Algebraically
y=x2−4x+3
y=x−5

Answers

Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

Another find the slope of the given line please see attached photo

Answers

Answer:

4

Step-by-step explanation:

It is 4 because the point rises 4 units up from the graph and runs 1 unit to the right which is 4/1 = 4.

The answer is positive 4.

Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .​

Answers

Let x be the number

Given 3x and 5x --------------- (i)

(3x+10)/(5x+10) = 5/7

On cross multiplication we get :-

21x + 70 = 25x + 50

On solving we get :-

4x = 20

x = 5

on substituting x in (i) we get 15 and 25.

Question 5 of 25
Which graph shows a system with an infinite number of solutions?
A. Graph A
B. Graph C
C. Graph B

Answers

Answer:

The answer is Graph C.

Step-by-step explanation:

Both the equation of each other are the same in Graph C..

Answer:

B. Graph C

The lines are together, so every point they pass is a solution

You had $21 to spend on eight notebooks. After buying them you had $5. How much did each notebook cost?

Answers

Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Each notebook cost $2

Find the value of x in this figure

Answers

Answer: 47
Step by step equation: hope this helps!

Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso

Answers

a. to find volume of a cube/rectangular prism. multiply height x width x length

Can anyone please solve this for me right now?

Answers

The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a×b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,

A=a×b

884=(26+2x)×(18+2x)

884=468+52x+36x+4x²

4x²+88x-416=0

Divide both side with 4,

x²+22x-104=0

x²+26x-4x-104=0

x(x+26)-4(x+26)=0

(x+26)(x-4)=0

x=-26,4

Take the positive value 4. The width of the path is equal to x which is 4 meters.

Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

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. A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question: What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number. 15% 7% 27% 10%

Answers

The probability of correctly guessing at random exactly one correct answer will be 15%. Then the correct option is A.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A five-question multiple-choice quiz has five choices for each answer.

Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question.

Then the probability of correctly guessing at random exactly one correct answer will be

P (X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾

The probability of success will be 0.5. Then we have

P (X = 1) = ⁵C₁ × p¹ × (1 - p)⁽⁵ ⁻ ¹⁾

P (X = 1) = 0.15625

P (X = 1) = 15.625%

P (X = 1) ≅ 15%

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A theater has 18 rows of seats. Each row has the same number of seats.
Suppose there were 3 fewer rows. Then for the theater to hold the same
number of people, each remaining row would need 6 more seats. How
many seats are in the theater?

Answers

There are a total of  180 seats in the theater

How to determine the number of seats?

The theatre illustrates an arithmetic sequence, with the following parameters:

Number of rows = 18

Let the number of seats per row be n.

So, we have:

Total = 18n

When there are 3 fewer rows, the total number of seats is:

Total = (18 - 3) * (n + 6)

This gives

Total = 15* (n + 6)

Substitute Total = 18n in Total = 15* (n + 6)

18n = 15* (n + 6)

Open the bracket

18n = 15n + 90

Subtract 15n from both sides

3n = 30

Divide both sides by 3

n = 10

Substitute n = 10 in Total = 18n

Total = 18 *10

This gives

Total = 180

Hence, there are 180 seats in the theater

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the lateral area the regular pyramid.


LA. =

Answers

Answer:

Lateral surface area = [tex]18\sqrt{91}[/tex] units²

                                 = 171.71 units²

Step-by-step explanation:

Lateral area:  total surface area excluding its base

Find the radius (circumradius) of the regular hexagonal base.  Use this to find the slant edge of the pyramid, then use the slant edge to find the slant height and thus the area of each face.

Radius of a regular polygon: distance from its center to its vertices.

[tex]\textsf{Radius of a regular polygon}=\dfrac{s}{2 \sin \left(\dfrac{180^{\circ}}{n}\right)}[/tex]

where:

s = side lengthn = number of sides

Given:

s = 6 unitsn = 6

[tex]\implies \textsf{Radius}=\dfrac{6}{2 \sin \left(\dfrac{180^{\circ}}{6}\right)}=6\:\sf units[/tex]

Use Pythagoras' Theorem to find the slant edge:

[tex]\begin{aligned}\textsf{Slant edge} & =\sf \sqrt{r^2+h^2}\\& = \sqrt{6^2+8^2}\\ & = 10\:\sf units\end{aligned}[/tex]

Use Pythagoras' Theorem to find the slant height:

[tex]\begin{aligned}\textsf{Slant height} & = \sqrt{\textsf{slant edge}^2-\left(\dfrac{s}{2}\right)^2}\\& =\sqrt{10^2-3^2}\\ & =\sqrt{91}\: \sf units\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of one face} & = \dfrac{1}{2} \times s \times \textsf{slant height}\\\\ & = \dfrac{1}{2} \cdot 6 \cdot \sqrt{91}\\\\ & = 3\sqrt{91}\: \sf units^2\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Lateral Surface Area}& = 6 \times \textsf{area of one face}\\ & = 6 \cdot 3\sqrt{91}\\ & = 18\sqrt{91}\\ & =171.71\: \sf units^2\:(nearest\:hundredth)\end{aligned}[/tex]

There are 24 students in a class and a decrease of 15%. How many students would you have?

Answers

Answer:

20

Step-by-step explanation:

85% of 24 is 20

Find the approximate values of the five-number summary for the data set represented by this box plot.
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Answers

Answer:

Minimum: 0

Quartile Q1: 22.5

Median: 50

Quartile Q3: 77.5

Maximum: 100

Step-by-step explanation:

* Given the following expressions:

I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]

Answers

Answer:

sorrry i forget you man ..... or bro .....

The cost of operating the Marketing Department is allocated to four departments based on the floor space each occupies, in m2. Department A occupies 1400 m2, Department B occupies 820 m², Department C occupies 560 m2, and Department D occupies 390 m². If the cost of operating for March was $19 000. how much of the cost should each department of the Marketing Department take up?​

Answers

The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,

Total Area = Department A + Department B + Department C + Department D

Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²

Now, the cost of operating a unit area can be determined as,

Cost of operating = $19,000/3,170m² = $5.99369 per m²

Further the cost of operating the different departments are,

Department A = 1400m²×$5.99 = $8,391.17

Department B = 820m²×$5.99 = $4,914.83

Department C = 560m²×$5.99 = $3,356.47

Department D = 390m² × $5.99 = $2,337.53

Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

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Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figure it out for myself. Also not supposed to touch the second equation just show how you get it from the first.

Answers

Step-by-step explanation:

[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]

[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

9. The longitude of a geographic location is measured in degrees east (E) or west (W) from the
prime meridian (0°) to the international date line (180°). Quito, Ecuador, on the west coast of
South America, has a longitude of 78.5º W. Singapore, on the Malay Peninsula in Asia, has a
longitude of 104° E. Both cities are very close to the equator. The diameter of Earth at the
equator is 7928 miles. What is the shortest distance from Quito to Singapore? Explain how you
found your answer.

Answers

Based on the longitudes of Quito and Singapore, the shortest distance between the two areas is 19,702.5 km .

How far is Quito from Singapore?

Because both cities are close to the equator, you use the longitudinal difference method to find the shortest distance.

First find the difference in longitudes:

= Singapore - Quito

= 104 - (-78.5) because Quito is west

= 104 + 78.5

= 182.5°

Then subtract this from 360°:
= 360 - 182.5

= 177.5°

Every 1° longitude along the Equator is 111 km so the shortest distance is:

= 177.5 x 111

= 19,702.5 km

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ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.



Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.

Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.

Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:

The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.

How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.

Answers

Answer:

its b actually jack had 5 numbers for each button

What is the length of the line?

Answers

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?

Answers

Answer:

1440 cubic inches

V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]

V = 12 × 10 × 12 = 1,440 cubic inches

Brad weighs 125 pounds. How could you change 125 pounds
to tons

Answers

Divide mass value by 2000
125 pounds= 0.0625 tons
Divide 125 by 2000 = .0625

Need help on this one please

Answers

Answer:

y = 1/3 x + 4

Step-by-step explanation:

y = 1/3 x + 4

The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).

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