Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles
A = 59°, a = 13, b = 14

Answers

Answer 1
angle A = 59o and sides a = 13, b = 14.
Lets find remaining angles are B and C and the remaining side c.
Law of sines : a/sinA = b/sinB ⇒ sinB = (b*sinA)/a
sinB = (14*sin59o)/13 = (14*0.857167)/13 ≅ 0.923
B ≅ sin-1(0.923) ≅ 67.384.
There are two triangles, B₁ = 67.4 and B₂ = 180 - 67.4 = 112.6
find the angle c for B₁ = 67.4
A+ B +C = 180.
Angle C = 180 - (59 + 67.4) = 53.6.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(53.6)/sin(67.4) = (14)*(0.805)/(0.923) = 12.21.

find the angle c for B₂ = 112.6
A+ B +C = 180.
Angle C = 180 - (59 + 112.6) = 8.4.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(8.4)/sin(112.6) = (14)*(0.146)/(0.9232) = 2.27.
Answer 2

Answer:

67.4°, C = 53.6°, c = 12.2; B = 112.6°, C = 8.4°, c = 2.2

a/sinA=b/sinB=c/sinC

a/sinA=13/0.8572=15.1662

sinB=b/a *sinA

sinB=14/13 *sin59=0.9231

B=67.4

B1=90+22.6=112.6

because sin67.4=sin112.6=0.9231

C=180-59-67.4=53.6

C1=180-59-112.6=8.4

c=a* sinC/sinA=13* sin53.6/sin59=12.2

c1=a* sinC1/sin59=13*sin8.4/sin59=2.2


Related Questions

Circadian rhythms are biological processes that oscillate with a period of approximately 24 hours. That is, a circadian rhythm is an internal daily biological clock. Blood pressure appears to follow such a rhythm. For a certain individual the average resting blood pressure varies from a maximum of 100 mmHg at 2:00 P.M. to a minimum of 80 mmHg at 2:00 A.M.
Find a sine function of the form f(t) = a sin(ω(t − c)) + b
that models the blood pressure at time t, measured in hours from midnight.

Answers

The equation becomes of the pressure is   P = 90 + 10 sin(π/36(t +4 ))

By observation the sine function should be of form P=  90 + 10 sin(ω(t − c)) as it oscillates about 90 and with a factor of 10. Let time be represented by the variable t in hours from 12.00 AM.

At 2:00 P.M. that is t= 14 hours the pressure is 100 mmHg

Substituting it in the equation we get,

100 = 90 + 10 sin(ω(t − c))

10 = 10  sin(ω(14 − c))

1 = sin(ω(14 − c))

ω(14 − c) = π/2                           -1)

At 2:00 A.M. that is t= 2 hours the pressure is 80 mmHg

80 = 90 + 10 sin(ω(t − c))

-10 = 10 sin(ω(2 − c))

3π/2 = ω(2 − c)                           -2)

dividing 2) with 1) we get

3 = (14 − c) /(2 − c)  

6 - 3c = 14 - c

2c = -8

c = - 4

Substituting the value of c in 1) we get,

ω(14 − (-4)) = π/2

ω18 =  π/2

ω = π/36

Thus the equation becomes  P = 90 + 10 sin(π/36(t +4 ))

Learn more about Sine here :

https://brainly.com/question/17149483

#SPJ1

Machine A produces 300 bolts less than three times the number machine B produces. If
machine A produces 4,800 bolts, then how many does machine B produce?

Answers

Step-by-step explanation:

what is the best definition of luminous

Zachary is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Zachary's total pay on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine the percentage commission Zachary makes on his daily sales.

Answers

The tabular values can be used to derive the formula relationship between x and P which gives the percentage commission of Zachary as 1%

How can the percentage commission be calculated?

From the above table, we have;

P = x × y% + b

Where;

y = The fixed percentage commission Zachary makes

b = Zachary's base pay

Therefore;

105 = 3000 × y + b... (1)110 = 3500 × y + b... (2)125 = 5000 × y + b... (3)

Subtracting equation (1) from (2), gives;

110 - 105 = (3500 - 3000) × y + b - b = 0

5 = 500•y

y = 5/500 = 0.01 = 1%

The percentage Zachary makes on his daily sales is y = 1%

Learn more about percentages here:

https://brainly.com/question/27772804

#SPJ1

Which is the correct equation of the line for the following graph?

Answers

Answer:

  (c)  y = -3x +6

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

Slope-intercept form

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . . where m is the slope and b is the y-intercept

Y-intercept

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

y = 3x +6 . . . . . choice By = -3x +6 . . . . .choice C

Slope

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

__

Additional comment

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

  m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

  y =-3x +6

Which of the following terms are possible in the domain of a sequence? Select all that apply.

Answers

The terms that are possible on the domain of a sequence are given as follows:

13, 25, 60.

What is a sequence?

A sequence is a list containing numbers, that may be related or not. It has a 1st term, 2nd term, and so on until the nth term.

The domain is the indexes of the terms, which starts at one and goes until n, hence the possible numbers are:

13, 25, 60.

More can be learned about sequences at https://brainly.com/question/11847927

#SPJ1

Find the volume of the prism. Round to the nearest tenth if necessary.

Answers

Answer:

27.2

Step-by-step explanation:

V = (1/2)(2.6)(5.1)(4.1), which is 27.2 to the nearest tenth

The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular cone with half the radius and twice the height of the first cone

Answers

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

How does the volume of a cylinder with a radius of 4 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 8 units x 8 units x 6 units

Answers

Answer:

The volume of the cylinder is smaller than the rectangular prism.

Step-by-step explanation:

What is the ratio?
Help me please I appreciate it :)

Answers

Answer:

I'm assuming that it is 4:1

Step-by-step explanation:

In AABC, if AB = 14 and BC = 9, AC may be equal to
A. 13
B. 23
C. 25
D. 5

Answers

Answer:

A

Step-by-step explanation:

By the triangle inequality theorem, 5<AC<23.

So, the answer is A.

A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4. Which expression represents the volume, in cubic units, of the composite figure

Answers

The expression that represents the volume of the composite figure is: 1/3(8)(6)(6) + (8)(6)(4).

What is the Volume of a Composite Figure?

The volume for the given composite figure = volume of the rectangular pyramid + volume of rectangular prism.

= 1/3(l)(w)(h) + (l)(w)(h)

Thus, with the given dimensions, plug in the values to get the expression represents the volume of the composite figure:

Volume = 1/3(8)(6)(6) + (8)(6)(4)

Learn more about the volume of a composite figure on:

https://brainly.com/question/24187665

#SPJ1

18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.

Answers

Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.

Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.

Let x represent the number of book case and let y represent number of tv stand.

Total number of book case and total number of tv stand is x+y≤18     ......(1)

Total amount of book case and total amount of tv stand is 20x+40y≤600   ......(2)

minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.

Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get

x+y=18

When x=0 then

0+y=18

y=18

When y=0 then

x+0=18

x=18

Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get

20x+40y=600

When x=0 then

20(0)+40y=600

40y=600

y=15

when y=0 then

20x+40(0)=600

20x=600

x=30

Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.

From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)

Further, we will find the maximization profit for the equation Z=60x+100y

When (x,y)=(0,0) then

Z=60(0)+100(0)

Z=0

When (x,y)=(6,12) then

Z=60(6)+12(100)

Z=360+1200

Z=1560

When (x,y)=(0,15) then

Z=60(0)+12(15)

Z=0+1500

Z=1500

When (x,y)=(18,0) then

Z=60(18)+100(0)

Z=1080

Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.

Learn more about inequality from here brainly.com/question/9774970

#SPJ1

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14

Answers

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

Learn more about a function here:

https://brainly.com/question/12431044

#SPJ1

Can someone help me with these problems having trouble and show work please !!

Answers

Answer:

(2x-5)(2x-5), 81 meters

Step-by-step explanation:

All of the sides of a square are equal, so to find the area we need to multiply 2x-5 by 2x-5: (2x-5)(2x-5)

Using this equation we can plug in 7 for x:

(2(7)-5)(2(7)-5) =

(14-5)(14-5) =

9*9 = 81

Can someone help me with these problems please!

Answers

Answer:

I have just wrote answers

the sum of three numbers is 78. the third number is 3 times the first. the first number is 7 more than the second. what are the numbers?

Answers

Answer:

17

Step-by-step explanation:

x+3x+x-7=78

5x-7=78

5x=78+7

5x=85

x=85/5

x=17

Answer:

The three numbers are 17, 10 and 51.

Step-by-step explanation:

Let the first, second, and third numbers be [tex]x[/tex], [tex]y[/tex], and [tex]z[/tex] respectively.

• From the question, we know:

sum of the numbers is 78.

∴ [tex]x + y + z = 78[/tex]   ----------(1st equation)

Let's express both [tex]x[/tex] and  [tex]z[/tex] in terms of [tex]\bf y[/tex] :

• We know that:

the third number is 3 times the first.

∴ [tex]z = 3x[/tex]

⇒ [tex]x = \frac{z}{3}[/tex]     ----------(2nd equation)

• We also know that:

the first number is 7 more than the second.

∴ [tex]\boxed{x = 7 + y}[/tex]

Substituting  [tex]x = \frac{z}{3}[/tex]  (from 2nd equation)

⇒ [tex]\frac{z}{3} = 7 + y[/tex]

⇒ [tex]\boxed{z = 21 + 3y}[/tex]

• We can now substitute  [tex]x = 7 + y[/tex]  and  [tex]z = 21 + 3y[/tex]  into the first equation:

[tex]x + y + z = 78[/tex]

⇒ [tex](7 + y) + y + (21 + 3y) = 78[/tex]

⇒ [tex]5y + 28 = 78[/tex]

⇒ [tex]5y = 50[/tex]

⇒ [tex]y = \bf 10[/tex]

∴ [tex]x = 7 + 10\\[/tex]

⇒ [tex]x = \bf 17[/tex]

[tex]z = 21 + 3(10)[/tex]

⇒ [tex]z = \bf 51[/tex]

∴ The three numbers are 17, 10 and 51.

The gross domestic product of the United States in 2020 was $20,940,000,000. What is the gross domestic product of the United States in 2020 expressed in scientific notion?

Answers

Answer:

2.094 x 10¹⁰ I have to add more words soo

When a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed.

Answers

The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.

What is Appeals?

Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result  of the trial court .

Hence, the statement is true because an offender  that was convicted of a crime can tend to files an  appeal with a higher court or appellate court so as to examine the trial court's decisions.

Learn more about appeals here:https://brainly.com/question/899321

#SPJ1

A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?

Answers

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

Learn more about prisms at

https://brainly.com/question/3594469

#SPJ1

Answer:

Step-by-step explanation:

Heart Shaped

The minimum point on the graph of the equation y=f(x) is (−1,−3). What is the minimum point on the graph of the equation y=f(x−5)? A. (4,−3) B. (−1,−8) C. (−1,−3) D. (−7,−3)

Answers

Answer:

(4, -3)

Step-by-step explanation:

y = f(x -5) means y = f(x) shifted 5 units to the right. So the minimum point would shift 5 units to the right as well.

36a^(4)b^(10)-81a^(16)b^(20) factor the given expression using the difference of squares pls

Answers

The factorized expression using difference of squares is as follows,

9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Difference of Squares

Difference of squares is a factorization method where an expression can be factored as (a + b) (a - b) when considered as the difference of two perfect squares,  a²-b². For instance, factoring x²-25 results in (x+5) (x-5). By enlarging the parentheses in (a + b) (a - b), the pattern (a + b) (a - b)=a²-b² is used as the foundation for this technique.

Factorization Using Difference of Squares

Given expression is,

36a⁴b¹⁰ - 81a¹⁶b²⁰

= (6a²b⁵)² - (9a⁸b¹⁰)²

Using square of differences, we have

a² - b² = (a + b) (a - b)

Here, a = 6a²b⁵ and b = 9a⁸b¹⁰

Thus, we get,

(6a²b⁵ + 9a⁸b¹⁰)(6a²b⁵ - 9a⁸b¹⁰)

Further Factorization

We can take out 3 common from both the bracket terms after applying difference of squares

3×3(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

= 9(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

Further, we can take out a²b⁵ as common from both the bracket terms

= 9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Learn more about difference of squares here:

https://brainly.com/question/11801811

#SPJ4

factorize all the question. ​

Answers

Answer:

5a(a - 2)

2(a^2 - 4)

(x + 5)(x - 5)

(x - 4)(x^2 + 4x + 16)

(a - 3)(a - 2)

(x^2 + x + 1)(x^2 - x - 1)

Step-by-step explanation:

5a^2 - 10a     factor out GCF

5a(a - 2)

2a^2 - 8      factor out GCF

2(a^2 - 4)

x^2 - 25     difference of squares

(x + 5)(x - 5)

x^3 - 64      difference of cubes

(x - 4)(x^2 + 4x + 16)

a^2 - 5a + 6      factors of 6 that add to -5

a^2 - 2a - 3a + 6

a(a - 2) - 3(a - 2)

(a - 3)(a - 2)

x^4 - x^2 - 2x - 1      group last three terms

x^4 + (-x^2 - 2x - 1)

x^4 - (x^2 + 2x + 1)        factors of 1 that add to 2

x^4 - (x + 1)(x + 1)

x^4 - (x + 1)^2         difference of squares

(x^2 + (x + 1))(x^2 - (x + 1))        simplify

(x^2 + x + 1)(x^2 - x - 1)

a triangle has two sides of length 2 and 5 and that the angle between these two sides is 60 degrees, what is the length of the third side of the triangle

Answers

The length of the third side of the triangle is 4. 33

How to determine the side

We have the length of the two sides to be;

2 and 5

If the angle between them is 60 degrees, then the third side is the opposite side

To find the opposite side, we use the sin ratio, which is

sin 60 = opposite/hypotenuse

sin 60 = x/ 5

Cross multiply

sin 60 × 5 = x

x = 0. 8660 × 5

x = 4. 33

Thus, the length of the third side of the triangle is 4. 33

Learn more about a triangle here:

https://brainly.com/question/1475130

#SPJ1

Write the following inverse proportion: y is inversely proportional to x, when y = 5 and x = 8.

Answers

The inverse proportionality expression is y =40/x

Inverse proportion

If the variable y is inversely proportional to x, this is expressed as;

y = k/x

where

k is the constant of proportionality

If y = 5 and x = 8. then;

5 = k/8

k = 5 * 8

k = 40

Determine the inverse proportionality

Recall that y = k/x

y = 40/x

Hence the inverse proportionality expression is y =40/x

Learn more on inverse proportionality here: https://brainly.com/question/17447335

#SPJ1

12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get the same score except for one, who bowls a 160, what is the score of the rest of the players? (A) 32 (B) 96 (C) 120 (D) 144​

Answers

Answer:

C

Step-by-step explanation:

The average is the total of the scores divided by 5.  

128 x 5 Gives us the total scores of 640.  I know that one bowler had a score of 160.  I will subtract that from the total of 640.  640-160 = 480.  Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120

sort the sequence according to whether they are arithmetic gemoentic or neither

Answers

98.3, 94.1, 89.9, 85.7 (Arithmetic)

1, 0, -1, 0 (Neither)

1.75, 3.5, 7, 14 (Geometric)

-1, 1, -1, 1..... (Geometric)

Determining the type of a sequence

An arithmetic sequence has a common difference

A geometric sequence has a common ratio

Considering the given sequences one after the other:

For 98.3, 94.1, 89.9, 85.7,..........

The common difference, d = 94.1 - 98.3 = -4.2

Therefore, 98.3, 94.1, 89.9, 85.7 is an arithmetic sequence

For 1, 0, -1, 0......

The sequence does not have a common difference or a common ratio. Therefore, it is neither an arithmetic nor geometric sequence

For 1.75, 3.5, 7, 14,.....

The common ratio = 3/1.75 = 2

Therefore, it is a geometric sequnec

For -1, 1, -1, 1.....

The common ratio = 1/-1 = -1

It is a geometric sequence

Learn more on arithmetic and geometric sequences here: https://brainly.com/question/13613396

#SPJ1

If you have a savings account, contact your bank and find out the interest rate on that account. (If you don’t have your own account, contact a local bank to ask what the interest rate would be if you set up a savings account today.)

a. State the interest rate the bank quoted.
b. Write an exponential growth equation that models the yearly growth if you put $625 in the account and left it there for years.
c. What will be the value of the account in 25 years?
d. Which of the following would result in more money: $625 deposited in your bank at the current interest rate for 6 years, or deposit $625 into a money market account with a 5% rate for 1 year? Show how you determined your answer.

Answers

Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

The interest rate of the bank

To do this, we make use of 1.50% interest rate

The exponential growth equation

Here, we have:

Initial, a= 625

Rate, r = 1.5%

The exponential growth equation is

A(t) = a * (1 + r)^t

So, we have:

A(t) = 625 * (1 + 1.5%)^t

Evaluate

A(t) = 625 * 1.015^t

Hence, the exponential growth equation is A(t) = 625 * 1.015^t

The value in 25 years

Here, t = 25.

So, we have:

A(25) = 625 * 1.015^25

Evaluate

A(25) = 906.84

Hence, the value in 25 years is $906.84

The investment with more money

#Investment A

a = 625

r = 1.5%

t = 5

So, we have:

A(5) = 625 * 1.015^5

Evaluate

A(5) = 673.3

#Investment B

a = 625

r = 5%

t = 1

So, we have:

A(1) = 625 * 1.5^1

Evaluate

A(1) = 937.5

By comparison, 937.5 is greater than 673.3

Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

Read more about exponential growth equation at:

https://brainly.com/question/23729449

#SPJ1

9. shyam travelled 8 km 52 m by bus, 2 km 265 m by car. how much distance did he travel in all

Answers

Shyam travel total  [tex]10km 317m[/tex]  distance ,when he travelled  [tex]8 km 52 m[/tex]  by bus and [tex]2 km 265 m[/tex]  by car .

How to find the total distance travel by Shyam ?

Shyam travelled distance by bus [tex]=8 km 52 m[/tex]

Shyam travelled distance by car [tex]=2 km 265 m[/tex]

Total distance travelled by shyam is

Total distance= distance travelled by car + distance travelled by bus

Total distance

[tex]=2 km 265 m+8 km 52 m\\=(2+8)km(265+52)m\\=10km317m[/tex]

Learn more about the distance travel is here :

https://brainly.com/question/28048546

#SPJ4

If 5/6 is 180, what is 1/6?
(please explain as well)

Answers

Divide your numerator by your denominator to get your answer

Answer: 36

Step-by-step explanation:

If 5/6 = 180

lets find what 1/6 equals

To do this lets divide 180 by 5 to find 1/6

[tex]\frac{180}{5} =36[/tex]

Therefore, 1/6 = 36


We know 180/5 will give us the answer because 180 is already 5/6 of the total; dividing by 5 will give us 1/6 of the total. Ex: if we had 4/6 of the total, we would divide by 4 to find 1/6.

Anyways, we can check our answer by doing:

36*5 = 216 then taking 5/6 of 216, which should equal 180

[tex]216*\frac{5}{6} =180[/tex]

Therefore, we know 36 is the correct answer

Estimate the product 5.25 × 8.89.

Answers

Answer:

47.25

Step-by-step explanation:

8.89 is about 9.

So, we have 9(5.25)=9(5)+9(0.25)=45+2.25=47.25

Other Questions
Clostridium difficile-associated diarrhea is usually preceded byA) eating contaminated food.B) a blood transfusion.C) extended use of antibiotics.D) improper food storage.E) travel to an underdeveloped country. true or false: for continuous data, the probability p(x=x) always equals zero A boy on a 2. 0 kg skateboard initially at rest tosses an 8. 0 kg jug of water in the forward direction. If the jug has a speed of 3. 0 m/s relative to the ground and the boy and skateboard move in the opposite direction at 0. 60 m/s, find the boys mass luther allegedly believed that nunneries should be closed because they were places where illicit true or flase how can an organization help prevent social engineering attacks? (select two.) nai has a face-centered cubic unit cell in which the i- anions occupy corners and face centers, while the cations fit into the hole between adjacent anions. what is the radius of na if the ionic radius of i- is 216.0 pm and the density of nai is 3.667 g/cm3? Social cognitive theorists propose that three of the following are essential for students to learn successfully from models. Which one is not essential?Question 11 options:A) Reinforcement for good performanceB) Memory of the observed behaviorC) Motivation to perform the behaviorD) Attention to the model For a cubical critter of length L, the ratio of strength to mass scales like . This scaling can be used to explain why the leg bones of large ungulates (e.g. water buffalos) have larger ratios than the leg bones of smaller ungulates (e.g.gazelles). OL2; diameter:length 1/L; length:diameter L; diameter:length OL; length:diameter 1/L; diameter:length o increase bandwidth, some wireless technologies use _____ to combine adjacent, overlapping channels. what are aztec chinampas and inca terraces examples of? prochlorperazine is prescribed postoperatively. the nurse should evaluate the drugs therapeutic effect when the client expresses relief from which symptom? Thornton Homes has multiple divisions which operate as separate lines of business and face risks unique to those lines. The firm uses its overall WACC as the discount rate to evaluate all proposed projects. Accordingly, each division within the firm will tend to:Multiple Choicereceive less project funding if its line of business is riskier than that of the other divisions.prefer higher risk projects over lower risk projects.become less risky over time based on the projects that are accepted.avoid risky projects so it can receive more project funding.have an equal probability with all the other divisions of receiving funding. Acute gastroenteritis that occurs after an incubation period of 4 to 24 hours is probably caused byA) GiardiaB) RotavirusC) SalmonellaD) Staphylococcus aureusE) Trichinella when congress is unable to reach an agreement and pass appropriations bills, it may allow agencies to spend at the previous years level by passing a the battle on the ugra river (1480) between ivan iii of grand duchy of moscow and akhmat khan of golden horde is noteworthy because Can someone help me really quickly.Megan reads that ocean waves move in two dimensions and thinks these dimensions are longitude and latitude. What mistake is she making? A. Latitude and longitude are used more often for places on land than at sea. B. All types of waves are 3D, or move in three dimensions, in the real world. C. The direction in which waves travel is considered to be a third dimension. D. The dimensions are the height and length of the waves within the ocean bed. Find the value(s) of making =2 3 parallel to =^2 +6 . expand g(x)=8x1 in powers of (x1). the federal government enjoys the most discretion over what type of policy? audit documentation is critical to evidence gathering because: