Find x. Round to the nearest 10th

Find X. Round To The Nearest 10th

Answers

Answer 1

Answer:

[tex]\boxed{\bf x = 23.5}[/tex]

Step-by-step explanation:

Using the law of sines.

[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]

A = 42B = x a = 22a = 12

[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]

[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]

[tex] \bf \sin(x) = 0.4[/tex]

[tex]\bf x = 23.5[/tex]

_______________________

Related Questions

A polynomial function has a root of -6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative
leading coefficient and is of odd degree, which could be the graph of the function?

Answers

Answer:

Using the formula multiplicity, we find that the equation of the function will be [tex]f(x)=-(x+6)^{3} (x-2)^{4}[/tex]. The graph is in the attachment.

Step-by-step explanation:

Concept: Given that for -6, multiplicity is 3 and for 2 multiplicity is 4.

So, the equation of multiplicity is represented as:

[tex]f(x)=a(x-root)^{mutliplicity}[/tex]

This gives the following function

[tex]f(x)=a(x+6)^{3} (x-2)^{4}[/tex]

The equation has a negative leading coefficient.

This means that, the value of a is less than 0 i.e. a < 0

Assume any value of a (say a = -1), the equation becomes

[tex]f(x)=-(x+6)^{3} (x-2)^{4}[/tex]

The graph is in the attachment.

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Answer:

C

Step-by-step explanation:

trust bro

Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?

Answers

Answer:

$63

Step-by-step explanation:

Alana has 4 units of the $171.

Brianna has 7 units of the $171.

Carla has 8 units of the $171.

Total units = 4 + 7 + 8 = 19

19 units = $171

1 unit  [tex]\frac{171}{19} \\= $9[/tex]

Brianna has 7 units, so she receives 7 x $9 = $63.

Please SHOW THE WORK. How many miles are in 10 kilometers?

Answers

Well that depends on if you use an estimation, but I will use the exact number.

There are .621371192237 miles per kilometer, so multiply by ten and you get 6.21371192237 miles.

NEED ASAP !!!!!

Which table represents a linear function?

Answers

the first table!

for every constant change in x, there is a constant change in y (as x increases by 1, y increases by 4)

Finding the inverse of the function x^3+3x+1 is beyond the scope of this course. Nevertheless, you should be able to use your knowledge of functions and their inverses as well as your graphing calculator to find the following values of the inverse function.


a. f^-1(1)

b. f^-1(5)

c. f^-1(3)

Answers

Step-by-step explanation:

[tex] {x}^{3} + 3x + 1 = 1 = = = > \\ {x}^{3} + 3x = 0 = = = > \\ x({x}^{2} + 3) = 0 \\ x = 0 \: or \\ {x}^{2} + 3 = 0 = = = > \\ {x}^{2} = - 3 = = = > x 1= \sqrt{ - 3} \: or \: i \sqrt{3} \\ x2 = - \sqrt{ - 3} = = = > x2 = - i \sqrt{3} [/tex]

[tex] {x}^{3} + 3x + 1 = 5 = = = > \\ {x}^{3} + 3x - 4 = = = > \\ (x - 1)( {x}^{2} + x + 4) = 0 = = = > \\ x - 1 = 0 = = > x1 = 1 \\ {x}^{2} + x + 4 = 0 = = = > \\ x2 = - 1 + i \sqrt{3} \\ x3 = - 1 - i \sqrt{3} [/tex]

[tex] {x}^{3} + 3x + 1 = 3 = = = > \\{ x}^{3} + 3x - 2 = 0 = = = > x = 0.6[/tex]

The values of the inverse of the function, f(x) = x³ + 3·x + 1, obtained from  graphing of the function are;

a. f⁻¹(1) = 0

b. f⁻¹(5) = 1

c. f⁻¹(3) ≈ 0.59607

What is an inverse function?

An inverse function is a function that reverses the action of another function, such that the inverse function maps the output of the function to the corresponding input.

The inverse of the function can be found by graphing the function, f(x) = x³ + 3·x + 1, using technology and then using inverse or table function to find the values of the inverse functions at the specified points

a. The value of the inverse function, f⁻¹(1), is the x-value, on the graph that corresponds to the point with a y-coordinate of 1.

The graph of the function indicates that at a y-value of 1, x = 0, therefore;

f⁻¹(1) = 0

b. Similarly, the graph indicates that a y-value of 5, x = 1, therefore;

f⁻¹(5) = 1

c. When the y-value = 3, we get;

x³ + 3·x + 1 = 3

x³ + 3·x - 2 = 0

Solving the above equation with an online tool, we get; x ≈ 0.59607

Therefore; f⁻¹(3) ≈ 0.59607

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Question 3(Multiple Choice Worth 4 points)
Which expression is equivalent to (7³)-2?
1
7-7-7-7-7-7
07
01
7
-1
7-7-7-7-7-7
frm

Answers

Answer is the first one
1 / 7*7*7*7*7*7
Reason
Multiply the exponents (3*-2) gives you 7^-6
A negative exponent flips to the positive fraction that is your answer

n
Sigma 2k+4
k=1
4th term in sequence?

Answers

Answer:

12

Step-by-step explanation:

2k+4= 2*4 +4=8+4=12

hope it will help

Answer:

12

Step-by-step explanation:

Given:

[tex]\displaystyle \sum^n_{k=1}2k+4[/tex]

The 4th term in the sequence is when k = 4.  

Therefore, substitute  k = 4  into  2k + 4:

⇒ 2k+ 4 = 2(4) + 4

              = 8 + 4

              = 12

Therefore, the 4th term in the sequence is 12

Scott started his bank account with $150 and is spending $7 per day on lunch. The x-axis would be labeled:

Answers

The x axis is labeled as Number of days.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

let x be the  number of days and y be money.

So, the equation is

y = -7x + 150.

Hence, the x axis is labeled as Number of days.

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Solve each inequality and graph the solution set and a number lined, express the Solution set in interval notation. 6 < x + 3 < 8 Solve each inequality and graph the solution set and a number lined , express the Solution set in interval notation . 6 < x + 3 < 8​

Answers

The solution set for the given inequality is 3<x<5.

The given inequality is 6<x+3<8.

What is the solution set?

In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.

Now, solve the given inequality:

6<x+3<8⇒6<x+3 and x+3<8

6-3<x ⇒3<x

x+3<8⇒x<5

Thus, 3<x<5.

Therefore, the solution set is 3<x<5.

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Inequality and graph the solution set and a number line, express the Solution set in interval notation is 3 < x < 5

6<x+3<8

[tex]6 < x+3\quad \mathrm{and}\quad \:x+3 < 8[/tex]

What is the rule of inequality?

[tex]\mathrm{If}\:a < u < b\:\mathrm{then}\:a < u\quad \mathrm{and}\quad \:u < b[/tex]

[tex]\mathrm{Combine\:the\:intervals}[/tex]

[tex]x > 3\quad \mathrm{and}\quad \:x < 5[/tex]

[tex]3 < x < 5[/tex]

Therefore the Inequality and graph of the solution set and a number line, express the Solution set in interval notation as 3 < x < 5.

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A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?

Answers

Distance from the origin to the points  ≈ 0.41.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;

Let OB is the distance from the origin to the point B

Let OA is the distance from the origin to the point A

Using the formula for calculating the distance between two points;

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(4-0)²+(3-0)²+(5-0)²

OA = √(16)+(9)+(25)

OA = √50

OA = 7.071

Similarly;

OB = √(6-0)²+(2-0)²+(-4-0)²

OB = √(6)²+(2)²+(-4)²

OB = √36+4+16

OB = √56

OB = 7.4833

Distance from the origin to the points = 7.4833 - 7.071= 0.4123

Distance from the origin to the points  ≈ 0.41

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Olympic Enterprises has the following inventory data: Assuming average cost, what is the cost of goods sold for the June 14 sale?

Answers

Assuming average cost of $55.5, the cost of goods sold by Olympic Enterprises for the June 14 sale is equal to $444.

How to calculate cost of goods?

In Financial accounting, the cost of goods sold for a business firm can be calculated by multiplying the total quantity of goods by an average cost. Mathematically, this is given by:

Cost of goods = quantity × average cost

Note: We would assume an average cost of $55.5.

Substituting the parameters into the formula, we have:

Cost of goods sold = 8 × 55.5

Cost of goods sold  = $444.

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if a= (-3 -9 -3 -4 -3 9 7 9 -10) and b= (9 1 6 3 -10 5 -1 9 -9) find -7A -4B?​

Answers

Answer:  Choice A

[tex]\begin{pmatrix}-15 & 59 & -3\\16 & 61 & -83\\-45 & -99 & 106\end{pmatrix}[/tex]

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

Explanation:

In matrix A, the upper left corner is -3

Multiply this with -7 to get  -7*(-3) = 21

So we'll have 21 in the upper left corner of matrix -7A. The other entries will be handled in a similar fashion.

Meanwhile, the upper left corner of matrix B is 9. Multiply this with -4 to get 9(-4) = -36 which is the upper left corner entry of matrix -4B

Combine those products: 21 + (-36) = -15

The number -15 is the upper left corner entry in matrix -7A-4B

This points us to choice A as the final answer.

Which is not a solution of sin 20 = 1?
A = 90
B = 45
C = 225
D = - 135

Answers

If you plug in 90 into theta, the expression becomes sin(180), which has a value of zero. Therefore 90 cannot be a solution to this equation. Hope this helps.

A car is purchased for 28,000 after each year, the resale value decreased by 25% what will be the resale value be after 3 years?

Answers

Answer:

11,812.5

Step-by-step explanation:

25% = 0.25

(YEAR ONE)

[tex]28,000*0.25 -- > 21,000[/tex]

↓ (why?)

28,000 * 0.25 = 7,000

[tex]28,000 - 7,000 = 21,000[/tex]

(YEAR TWO)

[tex]21,000 * 0.25 -- > 15,750[/tex]

↓ (why?)

[tex]21,000 * 0.25 = 5250[/tex]

[tex]21,000 - 5,250 = 15,750[/tex]

(YEAR THREE)

[tex]15,750 * 0.25 -- > 11,812.5\\[/tex]

↓ (why?)

[tex]15,750 * 0.25 = 3,937.5\\15,750 - 3,937.5 = 11,812.5[/tex]

Answer = 11, 812.5

What is the area of the polygon given below?

Answers

Answer:

340 i am pretty sure

Step-by-step explanation:

Answer: 340 is the area of a polygon since it has 6 sides!

click on the attachment below and please help me with the question

Answers

The value of the length of the scaled up rectangle is 12.8 unit.

What is a Rectangle ?

A rectangle is a polygon with four sides , the opposites are parallel and equal.

It is given in the figure that

A rectangle 4* 8 is scaled up and a new rectangle is formed α * 25.6

Scale factor = 25..6/8 =3.2

The value of the length therefore will be

4 * 3.2 = 12.8 unit

Therefore the value of the length of the scaled up rectangle is 12.8 unit.

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This table represents a proportional relationship between x and y.

x 0.2 0.4 0.6 0.8
y 0.25 0.5 0.75 1.0
What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answers

Answer:

x

Step-by-step explanation:

I got it right.........

help! asap! algebra 2

Answers

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us [tex](-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}[/tex]

()
8
What is 11 - 2³?

Answers

Answer:

[tex]11 - 2 {}^{3} [/tex]

[tex]11 - 8[/tex]

[tex]3[/tex]

#40 is it true or false

Answers

Answer:

True

Step-by-step explanation:

-77 is less than -76. Since the symbol refers to less than or equal to, this statement will be true.

​Recently, a random sample of 2534 year olds was​ asked, "How much do you currently have in​ savings, not including retirement​ savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.

Savings Lower Limit Upper Limit Frequency
0-199 0 199 345
200-399 200 399 97
400-599 400 599 52
600-799 600 799 21
800-999 800 999 9
1000-1199 1000 1199 8
1200-1399 1200 1399 3

Answers

The approximations of the mean and the standard deviation are 233.3 and 229.82, respectively

How to determine the mean?

The table of values is given as:

Savings Lower Limit Upper Limit     Frequency

0-199         0         199                       345

200-399   200   399                         97

400-599   400   599                         52

600-799   600   799                         21

800-999   800   999                         9

1000-1199 1000  1199                         8

1200-1399 1200  1399                      3

Rewrite the table to include the class midpoint and the frequency

x               f

99.5         345

299.5        97

499.5        52

699.5        21

899.5        9

1099.5        8

1299.5        3

The mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{99.5* 345 + 299.5* 97 + 499.5* 52 + 699.5 * 21 + 899.5 * 9 + 1099.5 * 8 + 1299.5 * 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]

Evaluate

[tex]\bar x = 233.331775701[/tex]

Approximate

[tex]\bar x = 233.3[/tex]

Hence, the approximation of the mean is 233.3

How to determine the standard deviation?

The standard deviation is calculated as:

[tex]\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}[/tex]

So, we have:

[tex]\sigma= \sqrt{\frac{(99.5-233.3)^2* 345 + (299.5-233.3)^2* 97 +...... + (1299.5 -233.3)^2* 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]

Evaluate

[tex]\sigma = 229.82[/tex]

Hence, the approximation of the standard deviation is 229.82

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Are the two triangles congruent?

Answers

Answer:

yes.......................

Step-by-step explanation:


Finding the Domain and Range of a Graph
Determine the domain and range for the graph below. Write your answer in interval notation.

Answers

Answer:

Domain: [tex][-3, 1)[/tex]Range: [tex][-5, 4][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Helppp needed plx as fast as u can

Answers

Answer:

The answer is either 30 degrees or 36 degrees.
You need a protractor to measure it.
Most probably, the answer is 30 degrees.
BUT PLEASE MEASURE THE ANGLE WITH A PROTRACTOR!

Answer:

d. 60°

Step-by-step explanation:

Since the clock is a full circle, it has a degree span of 360°.

∴ every 5-min interval on the clock

= 360° ÷ 12 five min intervals

= 30°

∴ acute angle formed by clock in figure

= two 5-min intervals

= 60°

A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?
18 cubic inches
27 cubic inches
3 cubic inches
9 cubic inches

Answers

Answer:

V = 9 in^3

Step-by-step explanation

Comment

The formula for a Pyramid of any B is V = B * h / 3. You have to be able to calculate the Base or just be given in it.

In this case the Base is a triangle. So the first thing needed is the area of the base.

Base

Area_triangle = base length * height / 2

Neither the Base length nor the height need to be the same as the B and h used for the volume of the Pyramid

Givens

b = 4 inches

h = 1.5 inches

Area_triangle = 4 * 1.5 / 2

Area_triangle = 2 * 1.5

Area_triangle = 3 inches^2

Solution

Base (triangle) Area = 3

h = 9

V = B * h / 3  

V = 3 * 9 / 3

V = 9 cubic inches

Answer V = 9 in^3

What is the difference when estimating?​

Answers

Answer:

1 1/6 = 1
5/9 = 45/99

Step-by-step explanation:

When rounding, make sure that anything that's above half will be rounded up if anything is below half it will be rounded down.
e.g. Round to the nearest half or whole

1. 5/9
Answer: 45/99
Why: 5/9 is 4 units to 9 while 5/9 is half of a unit closer to 45/99

2. 8/10
Answer: 10/10 or 1
Why: 8/10 is 2 units from 10 while 8/10 is 3 units from 5

Hopefully this helped!

Name the property that justifies the statment If AB - BC = 12, then AB = 12 + BC.

Answers

The  property that justifies the statement is the commutative law of addition

Commutative law of addition

This law occurs if the same number or constant is added to both sides of an equation.

Given the equation

AB - BC = 12

Add BC to both sides

AB - BC + BC = 12 + Bc

AB = 12 + BC

Hence the  property that justifies the statement is the commutative law of addition

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How Do You Answer This Question

Answers

It has no solution because 2 does not equal 3 and vice versa

Select the correct answer.
x

f(x)

2.0 2.8
2.5 1.1
3.0 –0.8
3.5 –1.2
4.0 –0.3
4.5 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?

A.
between 2.0 and 2.5 and between 4.0 and 4.5

B.
between 2.5 and 3.0 and between 4.0 and 4.5

C.
between 2.0 and 2.5 and between 3.5 and 4.0

D.
between 2.5 and 3.0 and between 3.5 and 4.0

Answers

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is B.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.

Example:

 x² + 3x + 5

In order to find the values at which the given polynomial will have zeros of the function, we need to find the values at which f(x) changes from positive to negative or vice versa. Since this is the range at which the function must have crossed the x-axis on the graph.

As per the given table, the value of f(x) is changing from negative to positive and positive to negative are between 2.5 and 3.0 and between 4.0 and 4.5.

Hence, the correct option is B.

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Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height. [Assume π = 22/7]​

Answers

[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]

★ Curved surface area of right circular cylinder is 4.4 m².

★ Radius of base of the cylinder is 0.7 m.

★ [tex]\tt \pi = \dfrac{22}{7}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}[/tex]

★ The height of cylinder.

[tex] {\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}[/tex]

[tex] \star \: \tt C.S.A \: of \: cylinder = \boxed{ \tt \pink{{ 2πrh}}}[/tex]

[tex] {\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]

Let,

❍ The height of circular cylinder be [tex]h[/tex]

Radius [r] of base of cylinder be 0.7 m

We know,

[tex] \star \: \tt C.S.A \: of \: cylinder = 2πrh[/tex]

Putting,

☆ [tex]\tt \pi = \dfrac{22}{7}[/tex]

☆ r as 0.7

[tex] \longrightarrow \tt 4.4 {m}^{2} = 2πrh[/tex]

[tex] \longrightarrow \tt 4.4 {m}^{2} = \bigg( 2 \times \dfrac{22}{7} \times 0.07 \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{10} {m}^{2} = \bigg( {2 }\times \dfrac{22}{ \cancel{7}} \times \dfrac{ \cancel{7}}{10} \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{10} {m}^{2} = \bigg( 44 \times \dfrac{ {1}}{10} \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{ \cancel{10}} \times \cancel{10} \: m = \bigg( 44 \times 1 \times h \bigg)[/tex]

[tex] \longrightarrow \tt 44 m = 44h[/tex]

[tex]\longrightarrow \tt \dfrac{44}{44} m = h[/tex]

[tex]\longrightarrow \tt \red{ 1 m } = h[/tex]

Therefore, the height of cylinder = 1 m.

[tex]\begin{gathered} {\underline{\rule{290pt}{2pt}}} \end{gathered}[/tex]

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When the time-keeper, Kenya, said time was up, I was astonished. My voice shrank and my eyes burned with tears that I hoped others would not notice as I returned to my seat. It didn't help that Jerome presented next and went overtime, but Kenya couldn't say for how long, since she was so riveted by his talk. 4 Select the correct answer. What choice best explains a narrative technique the writer uses and its effect on the reader? A. The writer's present-tense narration immerses the reader in the moment. B. The writer's extended reflection creates a cohesive narrative. C. The writer's character development presents multiple perspectives. D. The writer's detailed description of the setting depicts a vivid scene. Reset Next The number of young drivers involved in motor vehiclecrashes each year has declined substantially in recentyears, for teenage drivers of all ages and in crashes of allseverities. The number of people injured annually incrashes involving teen drivers declined by 51% between1994 and 2013, and the number killed each year in teendriver crashes declined by 56%. Most of the decline ininjuries and virtually the entire decline in fatalitiesoccurred between 2004 and 2013. While the reasons forthe declines are not entirely clear, numerous studies haveshown that strong state GDL systems have contributedsubstantially to reductions in injury and fatal crashes ofdrivers aged 15-17. Research also suggests that economicfactors including rising gas prices and the economicrecession of 2008 resulted in substantial declines in teendriving and thus teen crashes as well.Intro-Teen Driver Crashes: 1994-2013,AAA Foundation for Traffic SafetyHow could the reliability of this source best bedescribed?The source is reliable because it is a primarysource.O The source is not reliable because the author isanonymous.The source is not reliable because the authorseems to be biased.O The source is reliable because it provides facts anddetails by an expert.Done Draw abox-and-whisker plot for the set of data.27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100a.b.C.d.0510 15 20 25 30 35 40 45 50 55 60 65 7005 10 15 20 25 30 35 4045 50-55HHH05#20 5 10 15 20 25 30 35 40 45 50 5560 65 7060 65 7010 15 20 25 30 35 40 45 50 55 60 65 7075 80 85 9075 80 85 90757595 10080 85 9095 10080 85 90 95 10095 100 WILL MARK BRAINLIEST, 20 POINTSJos y Pedro van a __________esa cancin.cantacantamoscantancantarI know that cantar is the correct answer, but why? Why isn't it cantan? Jose y Pedro is basically ellos, so I'm confused why the answer is not cantan, which is the ellos conjugation of cantar. Please answer in terms a Spanish II student can understand. Can someone help me write an argumentative essay pleaseeeee!?a) Choose one topic from the list and develop arguments FOR or AGAINST the statement.1. Examinations should be abolished2. The death penalty should be abolished3. Cellular phones should be banned in schools4. HIV/AIDS patients should be isolated from society5. All forms of gambling should be banned Which of the following statements is correct regarding solar ovens?1. Solar oven uses renewable energy - environment-friendly, costly, and inefficient in cooking . 2. Solar oven uses non-renewable energy - environment-friendly, costly, and inefficient in cooking . 3. Solar oven uses non-renewable energy - environment-friendly, costly, and safe for cooking .4. Solar oven uses renewable energy - environment-friendly, cheap, and safe for cooking . Find the next number in the sequence: 10, 37, 82, 145, 226, I need help with this please :(! solve the following inequality ( algebra 1 ) Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.Law of cosines: a2 = b2 + c2 2bccos(A)Which equation correctly uses the law of cosines to solve for the missing side length of TrianglePQR?62 = p2 + 82 2(p)(8)cos(39)p2 = 62 + 82 2(6)(8)cos(39)82 = 62 + p2 2(6)(p)cos(39)p2 = 62 + 62 2(6)(6)cos(39) Vikram drinks 6/10 of a litter of water after gym class and 33/100 of a litter of juice with his lunch Vikram says he drank a total of 39 hundredths of a litter. use the drop-down menus to explain why Vikram is not correct? The TCP\IP protocol was invented by who _______ are subpopulations within a society that are systematically excluded from full participation in society and denied equal opportunities to power, prestige, and wealth. How did the mountainous geography of Athens influence the economy? Find the energy u of the capacitor in terms of c and q by using the definition of capacitance and the formula for the energy in a capacitor How do we investigate translocation using the ringing experiment? why care should be taken to use wild mushroom If 343* = 494-x, what is the value of x?5/88/528