Giving anyone that gets it right 100 points!

Six cantaloupes are cut up and served into thirty-two equal portions for a catering event. Which of the following shows the amount of cantaloupe in each portion?

A. 0.1875
_
B. 0.1875

C. 0.533
_
D. 0.53​

Answers

Answer 1
It is a 0.1875 because six divided by 32 equals 0.1875
Answer 2

Answer: pretty sure its B

hope this helps :)


Related Questions

Captionless Image
A. 9
B. 8
C. 6
D. 5

Answers

Answer: we need the immage

Step-by-step explanation:

we need an imagine to answer

The graph of g(x) is a transformation of the graph of f(x) = 3ª.
Enter the equation for g(x) in the box.
g(x) =

Answers

The graph is as follows: f(x) = 3ˣ

The graph f (x) is transformed into the graph g(x)

The points (-2, 2) and (-2) on the curve g(x) are (-1,4).

Let any point on f be (a,b) (x).

After translation, a brand-new curve, g(x), is obtained that is perpendicular to the line, asymptotically equal to y=1, or when y reaches 1, the graph is perpendicular to the x axis.

The graph of the translated curve is g(x)=y-1=3ˣ⁺² where g(x) = y = 3ˣ⁺²  + 1.

The following graph shows the two.

To learn more about graphs from given link

https://brainly.com/question/7152816

#SPJ9

Luke runs the trail in the park near his home 5 days a week. How many miles does he run in a week if the trail is 3 1/3 miles?​

Answers

Answer: 16 2/3 miles.

Explanation: 5 x 3 1/3 = 16 2/3

allie is making 8 dozen chocolate chip muffins for the food fair at school. the recipe she is using makes 3 dozen muffins. if the original recipe calls for 16 ounces of chocolate chips, how many ounces of chocolate chips does she need for her new amount? (allie buys her chocolate chips in bulk and can measure them to the nearest ounce.)

Answers

With the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.

What is the ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, first, we will take the ratio of a new recipe to the old recipe:

8:3 = 8/3 = 2.67

Now, the chocolate chips she needs for the new recipe:

16 × 2.67 = 42.72Chocolate chips for new recipe = 42.72 ounces

Therefore, with the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.

Know more about ratios here:

https://brainly.com/question/2328454

#SPJ9

a cell phone battery is rated at 3.85 v and can store 10.78 watt-hours of energy. (a) how much average current can it deliver over a period of 3 hours if it is fully discharged at the end of that time? (b) how much average power is delivered in part (a)? (c) what is the ampere-hour rating of the battery?

Answers

The 10.78 watt–hour battery with a voltage rating of 3.85 V gives;

(a) The average current delivered in 3 hours is approximately 0.93 A

(b) The average power delivered at 0.93–A is approximately 3.593 watts

(c) The ampere hour rating of the battery is 2.8 Ah

What is the relationship between power and energy?

Power is the rate at which energy is given out or expended.

The rating of the phone battery = 3.85–VThe power stored in the battery = 10.78 watt–hours

Required;

(a) The amount of average current that can be delivered in 3 hours

Solution;

The power in the battery is given by the equation;

P = I²•R = I•V

10.78 watt–hour = 10.78 J/s × 60 × 60 s = 38,808 J

In 3 hours, the energy per second, which is the power is given by the equation;

P = 38,808 J/(3×60×60 s) ≈ 3.593 watts

I = P/V

Therefore;

I = 3.593 watts/(3.85 V) ≈ 0.93 A

The average current it can discharge in 3 hours is approximately 0.93 A

(b) The average power delivered is given by the equation;

P = Energy/Time

Therefore;

P = 38,808 J/(3×60×60 s) ≈ 3.593 watts

(c) An equation that can be used to find the ampere hour, Ah is as follows;

Ah = Watt hour ÷ Voltage

The ampere hour rating of the battery is therefore;

Ah = 10.78 watt–hour ÷ 3.85 V = 2.8 Ah

Learn more about electric power and energy here:

https://brainly.com/question/15296808

#SPJ1

I NEED HELP
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y).

Answers

The image of the given triangle after transformation that has the rule (x,y)→(x,−y) is graphed below .

In the question

the triangle is given ,

From the figure , we can see that the coordinates of the triangle are

(2,7) , (4,-3) , (-5,-2)

let us name the coordinates of the triangle as A(2,7) , B(4,-3) , C(-5,-2) .

applying the transformation , that has rule (x,y)→(x,−y)

Using this rule to find the new coordinates of the triangle A'B'C' .

when A= (2,7)

A' = (2,-7)

When B = (4,-3)

B' = (4,-(-3))

B' = (4,3)

When C = (-5,-2)

C' = (-5,-(-2))

C' = (-5,2)

So the coordinates of the triangle  A'B'C' is A' = (2,-7) , B' = (4,3) , C' = (-5,2) .

the image triangle A'B'C' is shown below

Therefore , The image of the given triangle after transformation of the rule (x,y)→(x,−y) is graphed below .

Learn more about Transformation here

https://brainly.com/question/16938631

#SPJ1

Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.

How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.

The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.

Since we are providing mai's rate which is  6 3/4  miles and Noah's  rate of 4 1/2 miles, So in  order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other

=> 6 3/4 divided by 4 1/2,  

=> 27/4 divided by 9/2, (The result is an improper fractions)

=> 27/4 X 2/9

=>3/2

=> 1.5

To know more about mixed numbers refer to the link  https://brainly.com/question/24137171?referrer=searchResults.

#SPJ1

Solve 7x + 6<3(x - 2).
O [XIX<-3]
O {XIX < 0}
O {XIX<-2}
O [xlx>-3]

Answers

Step-by-step explanation:

X<-3 Inequality form , [XIX <-3]

What are the rules of PERFECT SQUARE TRINOMIAL

Answers

The rules of Perfect Square Trinomial are, an expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form [tex]ax^{2} +bx+c[/tex] is said to be a perfect square, if and only if it satisfies the condition [tex]b^{2} = 4ac[/tex].

What is Perfect Square Trinomial :

Perfect square trinomials are algebraic expressions with three terms that are obtained by multiplying a binomial with the same binomial. A perfect square is a number that is obtained by multiplying a number by itself. Binomials are algebraic expressions consisting of just two terms that are either separated by a positive (+) or a negative (-) sign. Similarly, trinomials are algebraic expressions consisting of three terms. When a binomial consisting of a variable and a constant is multiplied by itself, it results in a perfect square trinomial having three terms. The terms of a perfect square trinomial are separated by either a positive or a negative sign.

A perfect square trinomial is defined as an algebraic expression that is obtained by squaring a binomial expression. It is of the form [tex]ax^{2} +bx+c[/tex]. Here a, b, and c are real numbers and a ≠ 0. For example, let us take a binomial (x+4) and multiply it to (x+4). The result obtained is [tex]x^{2} +8x+16[/tex]. A perfect square trinomial can be decomposed into two binomials and the binomials when multiplied with each other gives the perfect square trinomial.

Therefore,

An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form [tex]ax^{2} +bx+c[/tex] is said to be a perfect square, if and only if it satisfies the condition [tex]b^{2} = 4ac[/tex].

To learn more about information visit Perfect Square Trinomial :

brainly.com/question/16615974

#SPJ1

What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%annual interest, compounded monthly? Use the analytical solution to find the answer.

Answers

What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%

annual interest, compounded monthly?

Remember that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

A=$120,000

t=12 years

r=14%=14/100=0.14

n=12

substitute in the given formula

[tex]120,000=P(1+\frac{0.14}{12})^{12\cdot12}[/tex]

Solve for P

P=$22,583.42

Let the function P be defined by p(x)=6n^2-4n-16 where (n-2) is a factor. To rewrite the function as a product of two factors, long devision was used.

Answers

The relation of the function as a product are found for the long division as:  (n-2)×(6n - 16) + 0 = 6n² - 4n - 16

What is referred as the long division?Long Division is a technique for dividing large numbers that divides the problem into several steps that follow a sequence. Just like in frequent division problems, a dividend is divided by divisor, yielding the quotient and, in some cases, a remainder.Each component of a division equation has its own name.Dividend: The dividend is really the number divided during the division process.Divisor: The divisor is the number whereby the dividend is divided.Quotient: A quotient is an outcome of the division process.Remainder: We can't always divide things exactly. There could be an extra number. The leftover number is known as the remainder.

The following describes the relationship between such four parts:

Divisor x Quotient + Remainder = Dividend

From the given pictures write the value of each part;

Dividend  = 6n² - 4n - 16

Divisor = (n-2)

Quotient = 6n - 16

Remainder = 0

Thus, the relation becomes;

(n-2)×(6n - 16) + 0 = 6n² - 4n - 16

Thus, the relation of the function as a product are found for the long division.

To now more about the division. here

https://brainly.com/question/25289437

#SPJ10

Which equation represents a line which is parallel to the line y-2x =7

Answers

The line which is parallel to the given line is 2x- y= 0 or y= 2x.

The given line y= 7+ 2x

this is written in the form y= mx +c where if we compare these two equations we get m= 2

Now consider a point which passes through the origin (0,0)

Thus y-y₁= m(x-x₁)

y- 0 = 2 ( x- 0)

y= 2x or 2x- y= 0

Thus, the line which is parallel to the given line is 2x- y= 0.

To know more about how to find a parallel line visit:

https://brainly.com/question/402319

#SPJ10

the value of y varies directly with x. if x = 4, then y = -6. what is the constant of variation

Answers

If y is over x, it is -6/4 which is -3/2 so cov is -3/2

find the equation of the line in form y=mx+c
please help giving brainliest

Answers

Answer:

Step-by-step explanation:

Equation of line in slope intercept form: y = mx +c

Pick any two points from the table and find the slope.

 (-2 , 9) ; (-1,7)

  [tex]\sf \boxed{\bf Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

              [tex]\sf = \dfrac{7-9}{-1-[-2]}\\\\=\dfrac{-2}{-1+2}\\\\=\dfrac{-2}{1}\\\\=-2[/tex]

y = -2x + c

Substitute (-2,9) in the above equation and find the y-intercept 'c'.

      9 = -2*(-2) +c

      9 = 4 + c

 9 - 4 = c

        c = 5

Equation of line:

  y =-2x + 5

             

witch ones greater 52 4/9 or 211/4

Answers

Answer:

211/4 is bigger number cause if you look at it right 52 4/9 is smaller than 211/4


Janice is offered medical and dental insurance through her company. Medical insurance costs $6,740 annually and dental costs $630
annually. Jessica's company pays 70% of medical insurance and 85% of dental insurance. How much does Jessica pay each biweekly pay
period for medical and dental insurance?

Answers

Medical insurance Jessica pays biweekly is $196.58 or 197 dollars.

Dental insurance Jessica pays biweekly is $22.3125 or 22 dollars.

How to find the biweekly pay?

Janice:

Medical insurance costs $6,740 annually

Dental costs $630

Solution:

Jessica:

70% of medical insurance = 70/100*6,740

= 674 * 7

=  $4,718/annum.

85% of dental insurance = 85/100 * 630

= 63 * 8.5

=  $535.5/annum

Medical insurance Jessica pays per month = 4,718/12 = $393.16

Medical insurance Jessica pays biweekly = 393.16/2 = $196.58 or $197

Dental insurance Jessica pays per month = 535.5/12= $44.625

Dental insurance Jessica pays biweekly = 44.625/2 = $22.3125 or $22.

To learn more about insurance pay sums, refer

https://brainly.com/question/16554548

#SPJ4

The coordinate pairs of a function are given.
{(-2, 0), (0, 1), (4, 3), (6, -3)}
What is the domain of the function?

Answers

In this case, the domain are all the x-values.
D = {-2, 0, 4, 6}

water flows at a constant rate. Kian measures 8 cups in 6 seconds. whats the constant of proportionality of cups of water to minutes

Answers

The constant of proportionality in cups of water to minute is 80 cups/min

What is the constant of proportionality in cups per minute?

Here we have the proportional relation:

y = k*x

Where y is the number of cups and x the time in seconds, then:

y/x = k

Replacing the values we know:

y = 8 cups.

x = 6 seconds.

We can get the value of k, the constant of proportionality, but first, let's write the time in minutes.

x = 6 seconds

remember that 1 min = 60 sec, then:

6 sec = (6/60) min = 0.1 min

So the constant of proportionality is:

k = 8cups/0.1 min = 80 cups/min

Learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

During the experiment, the volume dropped to milliliters. Find the percent of decrease.

Answers

The percentage of decrease for the chemistry experiment is 25%.

How to calculate the percentage?

The. percentage is defined as the number representing any number with respect to 100.

In this case, at the begining, the experiment was 4 millimeters and the end had an experiment of 3 millimeters.

The decrease in the percentage will be:

= Change in value /Original value × 100

= (4 - 3)/4 × 100

= 1/4 × 100

= 25%

The percentage is 25%.

Learn more about experiments on:

brainly.com/question/17274244

#SPJ1

I need to work out these answers. If u can provide working that would be helpful

Answers

Answers:x = 12It will be worth    22490    pounds after four years    8   years will be when it has fallen below 14520 pounds

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

Explanation:

The car is initially worth 44000 pounds.

It loses 25% of its value after the first year, but keeps the remaining 75% of it.

75% of 44000 = 0.75*44000 = 33000

The car is worth 33000 pounds at the end of year 1. This is effectively the "starting" value when we change the rate of depreciation.

------------------

The new percentage of the depreciation rate is x%

The car loses x% of its value each year

But it keeps the remaining (100-x)% of the value from year to year. Refer to the previous section.

x% = x/100

(100-x)% = (100-x)/100 = 100/100 - x/100 = 1 - 0.01x

The 1 - 0.01x is the value of b in the exponential equation y = a*b^t

The value of 'a' is the "starting" value of 33000 pounds.

The t represents the number of years after that first year (so that means we have t+1 years total).

The equation we have is

y = a*b^t

y = 33000(1 - 0.01x)^t

The teacher mentions "after 3 years" which means we'll have t+1 = 3 solve to t = 2 which is what we'll plug in along with  y = 25555

Let's solve for x.

y = 33000(1 - 0.01x)^t

25555 = 33000(1 - 0.01x)^2

25555/33000 = (1 - 0.01x)^2

0.77439393939393 = (1 - 0.01x)^2

(1 - 0.01x)^2 = 0.77439393939393

1 - 0.01x = sqrt(0.77439393939393)

1 - 0.01x = 0.87999655646709

-0.01x = 0.87999655646709-1

-0.01x = -0.1200034435329

x = -0.1200034435329/(-0.01)

x = 12.00034435329

Due to rounding error, it appears that it should be x = 12 since your teacher mentions x is an integer.

Also, 12.00034435329 is pretty close to 12.

If it decays at 12% per year, then the car keeps the remaining 88% since 100-12 = 88

Therefore 0.88 is the base of the exponential, it's the value of b.

Computing 33000(0.88)^2 gets us 25,555.2 which isn't too far from the goal of 25,555 pounds.

------------------

We found the exponential decay equation to be

y = 33000(0.88)^t

where t is the number of years after that first year. We have t+1 years total.

Your teacher asks how much the car will be worth after 4 years, so we'll plug in t = 3 because it's the solution to t+1 = 4.

In other words, we're working 3 years after that first year is up, so 3+1 = 4 total years.

Plug in t = 3 to find the following

y = 33000(0.88)^t

y = 33000(0.88)^3

y = 22,488.576

Rounding to the nearest pence gets us 22,489.58 which is the value of the car after 4 years. You can verify this with a spreadsheet table as I have shown in the diagram below. The highlighted rows mention values on your screenshot.

I'll round to the nearest pound since the other car values mentioned were whole numbers rather than decimal ones.

The 22489.58 rounds to 22490

------------------

For the final part, we'll need logarithms to solve the equation. Logarithms are useful to isolate the exponent.

We'll plug in y = 14520 and solve for t

y = 33000(0.88)^t

14520 = 33000(0.88)^t

14520/33000 = (0.88)^t

0.44 = (0.88)^t

Log[ 0.88^t ] = Log[ 0.44 ]

t*Log[ 0.88 ] = Log[ 0.44 ]

t = Log[ 0.44 ]/Log[ 0.88 ]

t = 6.42227097958021

This rounds up to t = 7

Round up instead of down because we want to clear the hurdle of passing the 14520 marker.

Recall once again that t is the number of years after the first year.

So t = 7 represents t+1 = 7+1 = 8 years in total that have passed by. Therefore, after 8 years is when the car's value is below 14520 pounds. Refer to the table diagram below.

1/8y= -3/4x-1 in standard form

Answers

in standard form its 6x+y=-8

bryce orders the following items from catalog what is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping cost 5$ for the order round to the nearest cent if necessary `

Answers

The total price that Bryce got charged to his credit card is $120.54  .

In the question ,

it is given that the

price for Shorts = $14.00

price for Soccer Ball = $25.00

price for Shin guard = $10.00

price for Cleats = $60.00

the total price for all the items = 14+25+10+60 = $109  

Given that the sales tax is 6% of the total price .

So , the sales tax = 6% of 109 = 0.06×109 = $6.54

According to the question

total price = price + sales tax + shipping cost

= 109 + 6.54 + 5

= 120.54

Therefore , the total price that Bryce got charged to his credit card is $120.54  , the correct option is (D) $120.54   .

The given question is incomplete , the complete question is

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Shorts=$14.00 ,Soccer ball=$25.00 ,Shin guards=$10.00 ,Cleats=$60.00 .

(A) $104.94

(B) $109.94

(C) $115.54

(D) $120.54

Learn more about Percent here

https://brainly.com/question/25311567

#SPJ1

m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.

Answers

Since both angles are the same, x has a value of 11

What are angles?

Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines

How to determine the value of x?

The given parameters are

m∠PQS=(3x−3)° and m∠RQS=(x+19)°.

From the question, the measures of both angles are the same

This means that

m∠PQS=(3x−3)° = m∠RQS=(x+19)°.

So, we have the following equation

3x − 3 = x + 19

Collect the like terms in the equation

So, we have the following equation

3x - x = 3 + 19

Evaluate the like terms in the equation

So, we have the following equation

2x = 22

Divide both sides by 2

So, we have the following equation

x = 11

Hence, the value of x in the angles is 11

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Possible question

m∠PQS and m∠RQS are congruent angles

m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.

Which property justifies the statement below?

7(mn) = (7m)n


Which property justifies the statement below?

7(mn) = (7m)n


Associative Property

Inverse Property

Identity Property

Commutative Property

Answers

Property justifies the given statement 7(mn)= (7m)n is :

Associative property of multiplication.

As given in the question,

Given statement :

7(mn) = (7m)n

Property justifies the given statement 7(mn)= (7m)n is :

Here three numbers are multiplying to each other.On left hand side 7 is multiplied to a group formed by mn.On right hand side 7m is group together and get multiplied to n.After regrouping result remain same as they equal to each other.Left hand side is equal to right hand side.This shows that it is associative property of multiplication.

Therefore, property justifies the given statement 7(mn)= (7m)n is :

Associative property of multiplication.

Learn more about property here

brainly.com/question/11007967

#SPJ1

Is my answer correct?

Answers

Using the concepts of the mean and of the mean absolute deviation, the correct option is given as follows:

Last month, the amount of rain that fell each day varied less than the month before.

What is the mean absolute deviation of a data-set and what does it represent?

The mean of a data-set is given by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations, hence it basically is the mean of the deviations, given a degree of variability.The mean absolute deviation(MAD) represents the average by which the values differ from the mean.

In this problem, we have that:

Two months ago, the measures were: Mean 9.4 cm, MAD 3.5 cm.Last month, the measures were: Mean 11.5 cm, MAD 1.6 cm.

Due to the lower mean absolute deviation combined with the higher mean, the amount varied less than the month before, hence the last option is correct.

More can be learned about the mean absolute deviation at https://brainly.com/question/23401130

#SPJ1

Give the coordinates and quadrant of Point C.

Answers

The coordinates is (-4,5) and the quadrant is ii

What is coordinate plane ?

A coordinate plane, often referred to as a rectangular coordinate plane grid, is a two-dimensional plane created by the intersection of the Y-axis, a vertical line, and the X-axis, a horizontal line. An area of two dimensions made up of two number lines is known as a coordinate plane. It is created when a point termed the origin, where the X-axis and Y-axis cross, is reached. You may find points by using the numbers on a coordinate grid. Graphing points, lines, and many other things may all be done using a coordinate plane. It serves as a map and provides exact driving instructions.

The coordinates is (-4,5) and the quadrant is ii

To learn more about coordinate plane visit :

brainly.com/question/13611766

#SPJ13

If the value of the expression below is a perfect square, which could be the value of m?

expression is 10m

A: m= 2/5
B: m= 1/2
C: m=1
D: m=2​

Answers

Answer:

A

Step-by-step explanation:

[tex]m=2/5 \implies 10(2/5)=4 \\ \\ m=1/2 \implies 10(1/2)=5 \\ \\ m=1 \implies 10(1)=10 \\ \\ m=2 \implies 10(2)=20[/tex]

Of these, only 4 is a perfect square.

Lines b and c are parallel. What is the measure of Angle6? Horizontal and parallel lines b and c are cut by transversal a. Where line b intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: (13 x + 9) degrees, 2, 4, 3. Where line c intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, (5 x + 9) degrees, 8.

Answers

Using the angle theorems, the measure of angle 6, m ∠6, is 54°

Calculating the measure of angles

From the question, we are to determine the measure of angle 6

From the given diagram, we can write that

(13x + 9)° = m ∠5 (Corresponding angles theorem)

and

m ∠5 + (5x + 9)° = 180° (Linear pair theorem)

Thus,

(13x + 9)°  + (5x + 9)° = 180°

Now, we will solve for x

13x + 9 + 5x + 9 = 180

18x + 18 = 180

Subtract 18 from both sides of the equation

18x + 18 - 18 = 180 - 18

18x = 162

x = 162/18

x = 9

Now, to determine the measure of angle 6

m ∠6 = (5x + 9)° (Vertical angles theorem)

Substitute the value of x

m ∠6 = (5(9) + 9)°

m ∠6 = (45 + 9)°

m ∠6 = 54°

Hence, measure of ∠6 is 54°

Learn more on Calculating measures of angles here: https://brainly.com/question/24607467

#SPJ1

Solve the triangle. Round the side length to the nearest tenth and the angle measures to the nearest degree.

Answers

Answer: 41, 54, 6.1

Step-by-step explanation:

By the law of Cosines,

[tex]b^2=4^2 +5^2 -2(4)(5)\cos 85^{\circ}\\\\b=\sqrt{4^2 +5^2 -2(4)(5)\cos 85^{\circ}} \\\\ =\sqrt{41-40 \cos 85^{\circ}}\\\\\approx 6.1[/tex]

By the law of sines,

[tex]\frac{\sin A}{a}=\frac{\sin C}{c}=\frac{\sin B}{b}\\\\\frac{\sin A}{4}=\frac{\sin C}{5}=\frac{\sin 85^{\circ}}{\sqrt{41-40 \cos (85^{\circ})}}\\\\\implies \sin A=\frac{4\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle A \approx 41^{\circ}\\\\\implies \sin C=\frac{5\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle C \approx 54^{\circ}[/tex]

Hi, can somebody help me.

In two or more complete sentences, describe the transformation(s) that take place on the parent function to achieve the graph of g(x)=log(-3x-9)+1.

Answers

Answer:

Logarithmic functions are the inverses of exponential functions. The logarithmic function y=log(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

or

First, multiply the x by -3 and shift it 9 units to the right. Then, shift the function 1 unit down.

hope this was helpful

Other Questions
Drought and leaching have contributed to the process of __________, a major environmental challenge in africa. a. animal endangerment b. reforestation c. desertification d. air pollution please select the best answer from the choices provided. a b c d By thinking about what is really important to you, you can determine your _____. a. aptitude b. personality c. values d. career please select the best answer from the choices provided a b c d What is the name for the thin, yet tough ceramic made in China?A:compassB: porcelainC:DoaismD: silk (extra credit) suppose you have a well-balanced "super coin" with three sides or outcomes equally likely: head, middle, and tail. (the super coin is a die with opposite faces showing head, middle, and tail) you tossed this super coin two times. -23x + x - 6x + 10 + 2x If the pattern below was tripled, what would be the ratio of black squares to gray squares PLEASE, PLEASE HELP QUESTION IN PICTURE BELOW. WILL GIVE BRAINLIEST!!! timmy is a new employee at an organization and was given a laptop. upon connecting the laptop to the local wi-fi network, he receives an ip address of 192.168.58.127 but is not able to connect to the internet. what could be the problem? quizlet Mrs. Jenkins gave her class the function f(x)=(x-5)(x+1). Four students made a claim about the function. Each student's claim is below. Annie: The x-intercepts are (5,0) and (1,0) Jacob: The y-intercept is at (-5,0) Neil: The vertex is at (2, -9)Zoey: The midpoint between the x-intercepts is at (-2,0)Which student's claim about the function is correct? Simplify the expression.(4)66(4) 5 = 41 PART A: What is Roosevelts overall purpose in his speech? A) to inform Japan that the U.S. will take any means necessary to enact revengeB) to notify the American people of the losses suffered in the Japanese attacksC) to warn of impending danger in the form of more attacks from Japan and its alliesD) to reassure the American people that actions are being taken to protect the countryWhich letter choice is the correct answer to this question? A researcher at the center of disease control and prevention is studying the growth of a certain bacteria he starts his experiment with 300 bacteria that grow at a rate of 20% per hour This semester Hung Lee took four 3-credit courses at Pikes Peak Community College. She received an A in accounting and Cs in history, psychology, and algebra. What is her cumulative grade point average (assume A = 4 and C = 2) Need answers as soon as possible please. find the indicated probability. in one town, 72% of adults have health insurance. what is the probability that 7 adults selected at random from the town all have health insurance? What was the main focus of the Roman Senate? 5/8 divided by 2 1/10 compare and contrast boarding school and a day School Please answer the questions Why did those who settled inthe western part of NorthAmerica rely on hunting andgathering?A. There were no crops to grow.B. There was very little farmland.C. The game was very plentiful.