find the two smallest possible solutions to part 1a​

Find The Two Smallest Possible Solutions To Part 1a

Answers

Answer 1
Answer: A. 5/12, 25/12

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

Answer 2

Answer:

a

Step-by-step explanation:

12sin(⅖pi x) + 10 = 16

sin(⅖pi x) = 6/12

⅖pi x = sin^-1(½)

⅖pi x = pi/6, pi - pi/6

⅖pi x = pi/6, 5pi/6

x = 5/12, 25/12


Related Questions

Shape 1 and 2 are plotted on a coordinated plane. Which statement about the shape is true?

Answers

Answer:

There's nothing to answer to that question, can you be specific.

Step-by-step explanation:

PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!


Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?



A. very crowded

B. violent

C. rowdy

D. not crowded

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DO NOT PLSSS DO NOT JUST GUESS PLS OR THEN ILL REPORT U (YOU WILL HAVE 1 WARNING). SO PLSSS DO NOT GUESS AND ANSWER CORRECTLY PLS AS I MENTIONED BEFORE!!!!!!!!!!!!!!!

Answers

Answer:A.Very Crowded

I am 100% positive

Step-by-step explanation:

The first arrivals were the people who made up Washington society. ... Jackson found himself pressed into a situation with his back to a wall until his people were able to get him away from the crowd, and back to his hotel. The sheer number of people inside the White House led to collisions with furniture and food and yeah.

PLEASEE HELPP ME WITH THIS QUESTION I NEED HELP PLSSSS NO GUESSING ANSWER IT CORRECTLY GIVE SPECIFIC REASONS!!!!!!! ASAP!!!!

Answers

Step-by-step explanation:

Stem and leaf plots are best suited for data with a small number of place values such as 7, 30, or maybe even 340. The numbers in the data set are rather large and hard to demonstrate with a stem and leaf plot. Therefore, it probably isn't your best option. Hope this helps!

Answer:

A stem and leaf plot shouldn't be used because the numbers are more than two digits long. These numbers are more varied, so it isn't correct for a stem and leaf plot. The stem is usually the tens digit, and the leaf is the ones digit. When you have four digits, it would get infinite times more hard and complicated. Hope that helped!

I have absolutely no idea what’s going on

Answers

Answer:

The hypotenuse( longer side) of the triangle = [tex]c^{2} = a^{2} +b^{2} \\Therfore, c = \sqrt a^{2} +b{2}\\ \\[/tex]

Step-by-step explanation:

Here, side =c

Therfore, area = c *c

That is [tex]a^{2} +b{2}[/tex] = 50[tex]^{2} + 35^{2}[/tex] = 3250 = 57 units sq


Add the Polynomials.
(7x2 + 3x - 11) and (3x2 - 9x +5)
10x^2-6X-6
6X-6
12x
13X-6

Answers

10x²-6x-6 is the answer

The lengths of the pieces of lumber that a carpenter has are shown in the table.
2 ft 3 ft 6 ft 1.5 ft 4.5 ft 1 ft
3. Find the mean length. 4. Find the median length.

Answers

Answer:

The mean length is 3 ft

while the median length is 2.5 ft

Step-by-step explanation:

The mean length is the sum of the lengths divided by the count of the lengths.

Mathematically, that is;

(2 + 3 + 6 + 1.5 + 4.5 + 1)/6 = 18/6 = 3 ft

To calculate the median length, we first need to rearrange the lengths in increasing order

1, 1.5, 2, 3, 4.5, 6

Now, looking at these lengths, the middle lengths are 2ft and 3ft

we can add both together and divide by 2

That would be (2+3)/2 = 5/2 = 2.5 ft

Answer:

Mean length = 3ftMedian length = 2.5ft

Step-by-step explanation:

Given the lengths of the pieces of lumber that a carpenter has as shown;

2 ft, 3 ft, 6 ft, 1.5 ft, 4.5 ft, 1 ft

3) The mean length is expressed as the ratio of the sum total of the lengths to the total amount of pieces of lumber given.

Mathematically; Mean ([tex]\overline x[/tex]) = [tex]\frac{\sum Xi}{N}[/tex]

Xi is the individual length

N is the total amount of pieces of lumber = 6pieces

[tex]\overline x = \frac{2+3+6+1.5+4.5+1}{6} \\\overline x = \frac{18}{6} \\\overline x = 3ft[/tex]

4) Median is the value at the middle of the given lengths after rearrangement. Rearrangement can either be ascending or descending.

Rearranging the data in ascending order we have;

1ft, 1.5ft, 2ft, 3ft, 4.5ft, 6ft

The two lengths at the middle are 2ft and 3ft. Taking the average of the two values since we cannot have 2 median values.

Median = 2+3/2

median = 2.5ft

A square with side length 4.6 is enlarged by a factor of 4 . What is it’s new area ?

Answers

Answer:

A =338.56 units ^2

Step-by-step explanation:

The area  is now

A = (SF)^2 * s^2

where s is the side length and SF is the scale factor

A = (4)^2 (4.6)^2

A =338.56

Please help!
You pick a card at random, put it back, and then pick another card at random.

What is the probability of picking a number less than 3 and then picking a number greater than 1?

Write your answer as a percentage.

__%

Answers

Answer:

Step-by-step explanation:

25%

Convert 102.221four to base ten

Answers

Answer:

4777

Step-by-step explanation:

I NEED HELP ASAP! WILL MARK YOU AS BRAINLIEST!

Answers

Coordinate of C;

[tex]( \frac{(1 - 3)}{2} , \frac{(2 - 4)}{2} )[/tex]

apply the formulae, replace the variables with the given values.

Slope;

[tex]m = \frac{(4 - 2)}{(3 - 1)} [/tex]

again, apply the formulae, replace the variables with the given values.

calculate it urself, ive done enough

Answer:

Answers below in bold.

Step-by-step explanation:

Midpoint formula:

[tex](\frac{1+3}{2} , \frac{4+2}{2} )[/tex]=

[tex](\frac{4}{2} , \frac{6}{2} )=[/tex]

(2, 3)

Point C is on the point (2, 3)

Slope:

[tex]\frac{4-2}{3-1} =[/tex]

[tex]\frac{2}{2}[/tex]=

1

The slope is going at y=x+1

how many hundreds are there in 700

Answers

Answer: 7 hundreds are in 700

Step-by-step explanation: because if you divide 700 by 100 it equals 7.

I don’t understand this question at all. Someone please HELP!

Answers

Answer:

( x+12) ( x+ 5)

Step-by-step explanation:

x^2 + 17x + 60

What 2 numbers multiply to 60 and add to 17

12* 5 = 60

12 +5 = 17

( x+12) ( x+ 5)

P=12 q=5. That’s the answer

solve for x in the equation x^2 + 20x + 100 =36

Answers

Answer:

x1 = -4, x2 = -16

Step-by-step explanation:

1.- equal the equation to 0

x^2 + 20x + 100 - 36 = 0

x^2 + 20x + 64

2.- factor to simplify.

(x + 4)(x + 16) = 0

3.- equal each factor to 0 and solve for x.

x + 4 = 0,   x = -4

x + 16 = 0,   x = -16

Answer: A.) x = -16 or x = -4

Step-by-step explanation:

correct on Edge 2021 ✅

A shipping box has the dimensions shown. What is the volume of the box in cubic yards?
À yard
yard
yard
Not drawn to scale.
1
yo
16 Yd3
32 Yd3
20 Y3

Answers

The question above is not compleye because it lacks the diagram box the shipping box.

Find attached to this answer the diagram of the shipping box which contains the question and the appropriate options to choose from.

Answer:

1/32 cubic yards or 1/32 yards³ (yd³)

Step-by-step explanation:

Looking at the attached diagram, the shipping box has the shape of a cube.

Therefore, the volume of the shipping box is calculated as :

Length × Width × Height

Where the

Length = 1/2 yard

Width = 1/4 yard

Height = 1/4 yard

Volume of the shipping box = 1/2 yard × 1/4 yard × 1/4 yard

= 1/32 cubic yards or 1/32 yards³ (yd³)

I need help with this

Answers

Answer:

.25

Step-by-step explanation:

.5 x .5 = .25

.25


Explanation: it is

It took Julius 1/3 of an hour to ride his bike 2 3/4 of a mile. How many miles per hour can he ride his bike?

Answers

Answer: 33/4 miles per hour

Step-by-step explanation:

Hi, to answer this question we simple have to divide the distance travelled by the bike (2 3/4) by the time spent (1/3)

Speed rate = distance /time

Replacing with the values given:

S = 2 3/4 ÷ 1/3 = (2x4+3)/4 ÷1/3 =11/4 ÷1/3= 33/4 miles per hour

Feel free to ask for more if needed or if you did not understand something.

what is the equation for this graph’s lone of best fit.
this is due today pls help

Answers

Answer:

I don't know if your question is multiple choice or not but here's a close estimate to what it should be.

y = [tex]\frac{3}{4} x[/tex]  

Step-by-step explanation:

Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.

As for the slope of the line I used the point at 2.5 and 3.

Here are the coordinates (2.5, 1.25) and (3, 1.625)

Find the average rate of change as you see below

1.625 - 1.25 = .375

3 - 2.5 = .5

.375 / .5 = .75 or 3x/4

The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.

On Monday the temperature is 68°. On Wednesday the temperature is expected to be 80°. What is the percent of change in temperature to the nearest percent?

Answers

Answer:

17.6%   or   18% (to the nearest percent)

Step-by-step explanation:

The increase in temperature is 12°.  Compare that to 68°:  

 12°

------- = 0.176

68°

Now multiply this result by 100%:  17.6%

Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entrance of the apartment and the point (-5,6) represents the location of the kitchen. Approximately how far apart are the main entrance and the kitchen?

Answers

Answer:

-(4,2)

Step-by-step explanation:

You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five

Answers

Answer:

A "fair" coin lands heads-up half of the time and "tails-up" half of the time.

For one flip, the probability of landing heads-up is 1/2.

Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.

So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.

Step-by-step explanation:

The probability that coin lands heads-up and the die shows a five is 0.083.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, a person flip a coin and then roll a fair six-sided die.

The probability the coin lands heads-up is 1/2

The probability that die shows a five = 1/6

Now, the probability of an event = 1/2 × 1/6

= 1/12

= 0.083

Therefore, the probability that coin lands heads-up and the die shows a five is 0.083.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ3

find the value of n

6/n = 5/120

Answers

Answer:

n = 144

Step-by-step explanation:

          6 / n = 5/120

         6 * 120 = 5*n

               5n = 6*120

               5n = 720

                 n = 720/5

                 n = 144

Answer:

144

Step-by-step explanation:

you should use a proportion to do this to make it easier to solve.

[tex]\frac{6}{n} = \frac{5}{120}[/tex]

cross multiply the numbers

[tex]5n = 6*120[/tex]

[tex]5n = 720[/tex]

then divide  720 by 5

[tex]n = 144[/tex]

The Drama club is holding auditions for 5 different parts in a one act play . If 9 people audition how many ways can the role be assigned

Answers

Answer:

15,120

Step-by-step explanation:

i got it correct

answer: 15,120 for (plato/edmentum users).

FP!!!!!!!!!!!!!!!!!!!!!!!!!

what is 4/8 in simplest form?

read the comment plz

Answers

Answer:

1/2 thank you for the points :))

Step-by-step explanation:

Answer:

four over eight

Step-by-step explanation:

what is the percentage of 40 out of 100?​

Answers

Answer:

40%

Step-by-step explanation:

Convert fraction (ratio) 40 / 100 Answer: 40%

At a factory, 450 bottles of ketchup are produced each hour.Write an equation that can be used to show the relationship between time in hours (h) and the number of bottles (B) of ketchup produced.

Answers

Answer:

450 × n

Step-by-step explanation:

Let B be the number of bottles of ketchup

Let h be the time taken in hours

For 1 hour, 450 bottles of ketchup are produced

For n hours, 450 × n bottles of ketchup will be produced

compute: 2 3/4 ÷(1 1/2 − 2/5 ) PLZ HELP

Answers

Answer:

[tex]\frac{5}{2}[/tex]

I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!

Given that triangle TRA ~ triangle NGL, find the value of x.

A. x=3.5

B. x=4

C. x=4.5

D. x=5

Answers

Answer:

Two triangles are similar.

=> RT/GN = TA/NL

=> 4/x = 8/(x + 5)

=> 4x + 20 = 8x

=> 4x = 20

=> x = 5

=> Option D is correct

Hope this helps!

:)

At Pizza Pi, 32% of the pizzas made last week had extra cheese. If 64 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Step-by-step explanation:

let total pizzas = y

so

32/100 x y = 64

y= 64× 100/32

= 200 pizzas

Answer:

extra cheese pizza and pizza who be equivalent to 9/100=27/x

Step-by-step explanation:

9/100x3/3 =X/27

27/300=X/27

X=300

The volume of the figure is about...(whole number as needed).​

Answers

Answer:

1,590.7 cm^3

Step-by-step explanation:

First, separate this shape into two smaller shapes you can easily find the volume of. In this example, you can separate this figure into a cone and a half-sphere.

Find the volume of the cone using the formula: V=πr^2(h/3). The radius is 7 because 14cm is the diameter, and 17cm is the height. When you solve, you get 872.32 for the volume of this cone.

Then, find the volume of the half-sphere. The volume of a sphere can be found with the formula: V=4/3πr^3. The radius is, again, 7. Now divide this value in half because you only want to find the volume of a half-sphere. You should get 718.38 cm.

Now add the two volumes together to get 1,590.7 cubed centimeters.

Step-by-step explanation:

volume of hemisphere

given

r=d/2=14/2=7cm

V=2/3πr^3

V=2/3×π×7^3

V=2/3×π×343cm^3

V=2/3×1077.56

V=718.37cm^3

volume of cone

given

r=7cm

h=17cm

V=πr^2×h/3

V=π×7^2×17cm/3

V=π×49cm^2×17cm/3

V=π×833cm^3/3

V=2616.94/3

V=872.31cm^3

Total volume=718.37cm^3+872.31cm^3

=1590.68cm^3

Solve for x
-5(-2-5)-x-1=-12

Answers

Answer:

46

Step-by-step explanation:

-5(-2-5)-x-1=-12

-5(-7)-x-1=- 12

35 - x - 1 = -12

34 - x = -12

-x = -12 - (-34)

-x = - 46

x = 46

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]-5\left(-2-5\right)-x-1=-12[/tex]

⟹ Subtract -2 and 5 = -7

[tex]5\left(-2-5\right)[/tex][tex]5\left(-7\right)[/tex]

⟹ Remover parentheses:

[tex]5\times7[/tex][tex]-35[/tex]

[tex]-\left(-35\right)-x-1=-12[/tex]

⟹ Apply rule: [tex]-\left(-a\right)=a[/tex]

[tex]35-x-1=-12[/tex]

⟹ Combine like terms:

[tex]-x+35-1=-12[/tex][tex]\:35-1=34[/tex][tex]-x+34=-12[/tex]

⟹ Subtract 34 from both sides:

[tex]-x+34-34=-12-34[/tex][tex]-x=-46[/tex]

⟹ Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-46}{-1}[/tex][tex]x=46[/tex]

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