Find the missing side. Round to
the nearest tenth.
x
9
28°
x = [?]

[tex]answer \\ = 5 \sqrt{3} \\ please \: see \: the \: attached \: picture \: for \: \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]5 \sqrt{3} [/tex]

First answer is correct

Step-by-step explanation:

[tex] \frac{5}{x} = \cos(60) \\ \frac{5}{x} = \frac{1}{2} \\ x = 10 \\ \frac{y}{x} = \sin(60 ) \\ \frac{y}{10} = \frac{ \sqrt{3} }{2} \\ 2y = 10 \sqrt{3} \\ y = \frac{10 \sqrt{3} }{2} \\ y = 5 \sqrt{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

37.5

Step-by-step explanation:z

2.0-1.25=0.75

0.75/2.00 x 100

37.5% decrease

Answer: First 4 terms of n + 5  = 6,7,8,9

10th term = 15

Hope this is right

Step-by-step explanation:

By putting n = 1 , 2, 3 , 4 we can find first 4 terms

When n = 1

n + 5 = 1 + 5 = 6

When n = 2

n + 5 = 2 + 5 = 7

When n = 3

n + 5 = 3 + 5 = 8

When n = 4

n + 5 = 4 + 5 = 9

When n = 10

n + 5 = 10 +5 = 15

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

[tex] log(a) + log(b) \: ⇒ \: log(a \times b) [/tex]

[tex] log( {a}^{n} ) \: ⇒ \: n log(a) [/tex]

In this question, you have to seperate it out :

[tex] log(a {b}^{2} ) = log(a) + log( {b}^{2} ) [/tex]

[tex] log( {b}^{2} ) = 2 log(b) [/tex]

[tex]let \: log(a) = x[/tex]

[tex]let log(b) = y[/tex]

[tex] log(a {b}^{2} ) = log(a) + 2 log(b) [/tex]

[tex] log(a {b}^{2} ) = x + 2y[/tex]

Answer:

14, 32

Step-by-step explanation:

45,15,44,17,40,20,31,25

this is combination of 2 series:

In the first series we can see the pattern as:

In the second series we can see the pattern as:

The series will continue as:

Answer:

14, 32

Step-by-step explanation:

lol :D

Answer:

1,085

Step-by-step explanation:

The calculation of  number of different combinations of 3 films she can rent if she needs at least two documentaries is shown below:-

[tex]= N\times (2 \times documentaries\ and\ 1\ horror \ movies)+N\times (3\ documentaries)[/tex]

[tex]=(6C_1)\times (15C_2)+(6C_0)\times (15C_3)[/tex]

= 630 + 455

= 1,085

Therefore for calculating the number of different combinations of 3 films she can rent if she needs at least two documentaries we simply applied the above formula and here we consider one number in the question as it shows the double number.

Answer

g(x) moves 4 spaces to the left compared to f(x),  

when g(4)=0  when f(0)=0

when g(3)=1   when f(-1)=1

...

and so on

Answer:

answer is 2/3

Step-by-step explanation:

probability it is an eclair is 1/15=3/(3+2x+6+x)= 1/(x+3)

so x+3=15 and then x = 12

so the probability it is a humbug is (2*12+6)/(3*12+9) = 30/45 = 2/3

Answer:

Rounding to the nearest hour, the times at which the population was 600,000 was at 9 hours and at 39 hours.

Step-by-step explanation:

Determine the time(s) at which the population was 600,000.

This is t for which P(t) = 600000. To do this, we solve a quadratic equation.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]P(t) = -1718t^{2} + 82000t + 10000[/tex]

We have to find t for which P(t) = 600000. Then

[tex]600000 = -1718t^{2} + 82000t + 10000[/tex]

[tex]-1718t^{2} + 82000t - 590000 = 0[/tex]

So [tex]a = -1718, b = 82000, c = -590000[/tex]

Then

[tex]\bigtriangleup = 82000^{2} - 4*(-1718)*(-590000) = 2669520000[/tex]

[tex]t_{1} = \frac{-82000 + \sqrt{2669520000}}{2*(-1718)} = 8.8[/tex]

[tex]t_{2} = \frac{-82000 - \sqrt{2669520000}}{2*(-1718)} = 38.9[/tex]

Rounding to the nearest hour, the times at which the population was 600,000 was at 9 hours and at 39 hours.

Answer:

-23

Step-by-step explanation:

Answer: the answer is A 5 units

The length of L'L in the dilated figure is 5 units.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in size of a figure.

Triangle JKL was dilated by 1/3 with M as the center of dilation to form J'K'L'.

Given that ML' = 2.5 units, hence:

L'L = (2.5 * 3) - 2.5 = 5 units

The length of L'L in the dilated figure is 5 units.

Find out more on transformation at: https://brainly.com/question/1620969

Answer:

6/4

Explanation:

If Alex can file the papers in the cabinets for 6 hours and 4 hours with Millie, then the fraction to represent the papers filed with Millie would be 6/4.

Hope this helps!

Answer:

A = 27 cm²

Step-by-step explanation:

[tex]A = lw\\Where, l=10.8 cm , w = 2.5 cm\\[/tex]

Putting in the above formula

A = (10.8)(2.5)

A = 27 cm²

Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .

ANSWER: "There is not enough information to determine the answer". Option D is correct.

Step-by-step explanation:

For a case that was ruled by a court to be reversed by a higher court, they must be conditions in the ruling of the lower court that has been reconsidered by the higher court. This is regardless of the jurisdiction of the court or judge that ruled the case.

A case from all the courts in the options can be reversed by a higher court if the courts judgement lacks merit by the higher court, at any given times, irrespective of the court.

The volume of the solid (call it S) in Cartesian coordinates is

[tex]\displaystyle\iiint_S\mathrm dV=\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{(x^2+y^2)^2-1}^{4-4(x^2+y^2)}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

but I suspect converting to cylindrical coordinates would make the integral much more tractable.

Take

[tex]\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=z\end{cases}\implies\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz[/tex]

Then

[tex]4-4(x^2+y^2)=4-4r^2=4(1-r^2)[/tex]

[tex](x^2+y^2)^2-1=(r^2)^2-1=r^4-1[/tex]

and the integral becomes

[tex]\displaystyle\iiint_S\mathrm dV=\int_0^{2\pi}\int_0^1\int_{r^4-1}^{4(1-r^2)}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]

[tex]=\displaystyle2\pi\int_0^1r(4(1-r^2)-(r^4-1))\,\mathrm dr[/tex]

[tex]=\displaystyle2\pi\int_0^1r(5-4r^2-r^4)\,\mathrm dr[/tex]

[tex]=\displaystyle2\pi\int_0^15r-4r^3-r^5\,\mathrm dr[/tex]

[tex]=2\pi\left(\dfrac52-1-\dfrac16\right)=\boxed{\dfrac{8\pi}3}[/tex]

Answer:

The median value in this set is -4.5

Step-by-step explanation:

Reorder the numbers from least to greatest

-28,-17,-8,-1,24,32

Then, since there is 6 digits in this data set there is no defined median value. In the numbers 1 to 8 there are 8 different numbers, the middle of 1 to 8 is 4.5. Then since were using the numbers -8,-1 the middle is -4.5

Answer:

To be in the top 1% of the runners, the man has to run the 400 meters in at most 55.768 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 93, \sigma = 16[/tex]

How fast does a man have to run to be in the top 1% of runners?

The lower the time, the faster they are. So the man has to be at most in the 1st percentile, which is X when Z has a pvalue of 0.01. So he has to run in at most X seconds, and X is found when Z = -2.327. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.327 = \frac{X - 93}{16}[/tex]

[tex]X - 93 = -2.327*16[/tex]

[tex]X = 55.768[/tex]

To be in the top 1% of the runners, the man has to run the 400 meters in at most 55.768 seconds.

Answer:

Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha

Answer:

A-8

Step-by-step explanation:

Any other higher number plugged in makes the equation false

Answer:

Step-by-step explanation:

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail 0.039

Thus

p = 0.039

Answer:

-3.66

Step-by-step explanation:

Answer:

36 cm

Step-by-step explanation:

Since all measurements of the figure are the same, that means that this figure is a square.  To find the area of a figure multiply length by width.  Since this figure is a square and all sides are equal, we multiply 6 by 6 for an area of 36 cm.

Answer:

X ≤ 13

Step-by-step explanation:

Part A: X ≤ 13

Part B:  Draw a closed circle from 13 and up on the number line.

Make the arrow look like this >.

The inequality will be x ≥ 13. The age of the person should be greater than or equal to 13.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

“Children under the age of 13 are not allowed to operate a boat.”

Let x be the age of the person.

The inequality to show the age of children who are allowed to operate a boat will be

x ≥ 13

The age of the person should be greater than or equal to 13.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

sorry i meant c

Step-by-step explanation:

Answer:

His speed as he left the floor is 4.83 m/s.

Step-by-step explanation:

Given: 46 inches = 1.1684 m and mass = 200 lb = 90.7185 Kg.

From the third equation of motion under free fall,

  [tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2gs

Where; V is the final velocity (0), U is the initial velocity (unknown), g is the value of gravity - 10 m/[tex]s^{2}[/tex] and s is the distance = 1.1684 m.

Then;

0 = [tex]U^{2}[/tex] - 2gs

[tex]U^{2}[/tex] = 2gs

   = 2 × 10 × 1.1684

  = 23.368

⇒ U = [tex]\sqrt{23.368}[/tex]

       = 4.8340 m/s

The initial velocity, U = 4.83 m/s.

Therefore, his speed as he left the floor is 4.83 m/s.

Answer:

His speed as he left the floor is 4.83 m/s.

Step-by-step explanation:

Answer:

There should be no pattern in the residual plot.

Step-by-step explanation

Remember a residual plot is calculating if a linear model is appropriate or not and since the engineer is trying to find a linear relationship with his air filters then he should be looking for no pattern.

Here, we are required to determine what should be apparent in the residual plot.

The residual plot will have a negative slope, i.e the residual plot descends from the top left to the bottom right.

According to the Engineer's believe, the thicker the air filter, the less pollution that gets through it.

By plotting each of the quantities on either of x and y axis on the residual plot, The residual plot therefore, has a negative slope.

Read more:

https://brainly.com/question/7412322

Answer:

2/8 or 1/4

Step-by-step explanation:

There are 4 sections so if you spin it twice, we would double it so we have 2/8 and simplified to 1/4

I hope it helps you!

Answer:

n +10 =20

Step-by-step explanation:

answer =20 . thank God

Answer:

  3.84 units

Step-by-step explanation:

By the properties of angle bisectors, ...

  WZ/ZX = WY/YX

Solving for WY, we have ...

  WY = (YX)(WZ)/(ZX) = (6.5/6)(WZ)

The length YZ is ...

  YZ = 8 = WY +WZ

  8 = (6.5/6)(WZ) +WZ = 12.5/6(WZ) . . . . substitute for WY

  WZ = 8(6/12.5) . . . . multiply by 6/12.5

  WZ = 3.84

Answer:

The correct answer is indeed 3.84 units

Step-by-step explanation:

I just took the test and got it correct hope this helps ☺