REDUCING RATIOS
1. 55:33
2. 1,000:100
3. 560:80
4. 20:340

Answers

Answer 1

Answer:

Step-by-step explanation:

1.  5:3

2. 10:1

3. 7:1

4. 1:17


Related Questions

Keesha walks 12 blocks to school every day. One day, she counts 88 sidewalk squares in one block. If each block has the same number of sidewalk squares, how many squares does Keesha walk on as she walks to and from school each day?​

Answers

Answer:

Step-by-step explanation:

If Keesha walks 12 blocks to school and its 88 squares in the sidewalk then you multiply 12 by 88 and get 1056:)

hope this helps ^^

Determine if the two figures below are congruent. Use the drop-down menus below to justify why. Which point on Figure 2 corresponds to point CC on Figure 1?

Answers

From the figure, we observe that,

Non-rigid motions are used to map figure 1 onto figure 2.

Here, resizing (stretching horizontally, vertically, or both ways) is a non-rigid transformation.

So, the answer is,

The figures are congruent because non-rigid motions are used to map figure 1 onto figure 2.

The point corresponding to point C is H.

round 0.2099 to 2 decimal place. give explanations too please.​

Answers

0.21

0.2099
Two decimal places is the second 0 in the number ~0.2099
^
You look at the number next to it which in this case is 9 ~0.2099
^
If the number is 4 or less you round it down to 0 and if the number is five or more you round it up to 10, so 9 rounded is 10 because it’s bigger than 5

10 is carried along to make 0.2100 and that can be simplified down to 0.21 because you don’t need the 0’s necessarily

The measure of the supplement of an angle is 14 less than 3 times the measure of the
complement. Find the measure of the complement.

Answers

The complementary angle to 38° is 52°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.

Let the angle be x°

Then the compliment of the angle = (90-x)°

and supplement of the angle = (180-x)°

According to question, (180-x) + 14 = 3(90-x)

or, 180-x+14 = 270-3x

or, -x+3x = 270-194

or, 2x = 76

or, x = 76/2 = 38°

Hence, the complementary angle to 38° is = 90-38 = 52°

To know more about an angle, click on the link

https://brainly.com/question/9916775

#SPJ9

Let ​f(x)=−3x−1 and ​g(x)=x2− 1.
Find ​(f◦​g)(−1​).

Answers

Answer:

If i'm correct and the symbol between the f and g is multiplication the answer is 0.

Step-by-step explanation:

I have linked how I got this answer in the image below, I hope this is what you were looking for.

Question
What is the expression after applying the distributive property?

−0.4(−2+(−9))

Enter your answer by filling in the boxes.

Answers

The expression after applying the distributive property, the formula becomes 0.8 + 3.6.

Describe algebra:

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule is used.

When you combine the results of two or more arithmetic operations, the result is the same as when you multiply each addend individually by the quantity and then unite the resultant products.

Given below is the phrase.

= −0.4 (−2 + (−9))

Once the distributive property has been used, we have

= 0.8 + 3.6

The result of applying the distributive property will be the equation 0.8 + 3.6.

Below is further information on the link for algebra.

https://brainly.com/question/24875240

#SPJ1

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

A. would be a quotient of 34 and a remainder of 14

B. would be a quotient of 22 and a remainder of 10

C. would be a quotient of 20 and a remainder of 34

If P(A|B) = 35%, and P(B) = 70%. Find P(A) given that A and B are independent.

Answers

P(A) given that A and B are independent is; 35%

How to solve Conditional Probability?

P(A|B) is defined as a conditional probability and it means the probability of event A that depends on another event B. It is also known as "the probability of A given B"

Now, the formula to find P(A|B) is;

P(A|B) = P(A∩B) / P(B)

Where;

P(A∩B) = P(A) *  P(B)

Thus;

P(A|B) = (P(A) *  P(B))/(P(B)

Plugging in the relevant values gives;

0.35 = P(A)

Read more about Conditional Probability at; https://brainly.com/question/23382435

#SPJ1

Ayuda es para hoy

Diego compra dos boletos para el juego de diversiones(Montaña rusa) cada uno le costó $4 dólares, para llenar el juego y empezar la vuelta hace falta 4 personas más, ¿Cuánto recaudará el cobrador del juego por cada vuelta?

A)$ 12 dólares

B)$ 24 dólares

C)$ 8 dólares

D)$ 32 dólares

Answers

Answer:

es la b

Step-by-step explanation:

porque diego es good

:D

5-2x<11
i don’t know how to solve this

Answers

Answer:

x>3

Step-by-step explanation:

5-2x<11

subtract 5on both sides of the equation

-2x<11-5

-2x<6

divide through by n negative 2,and the equality will change

X>-3

Hello there! Let's solve this inequality for the required variable, which is x.

With the given inequality, it can't be done in just one step, however it can be done in a few steps, which are as follows:

Subtract 5 from both sides.

[tex]\implies\boldsymbol{5-2x < 11}[/tex]

[tex]\implies\boldsymbol{-2x < 6}[/tex]

Divide both sides by -2. Remember to flip the inequality sign.

[tex]\underbrace{\implies\boldsymbol{x > -3}}_\sf{answer}}[/tex]

I hope it helps, feel free to reach out if you have any queries :)

A line goes through the points (-3, -2) and (3, 6). Write the equation of the line in Slope-Intercept form, y = mx + b.​

Answers

LET US FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1 \\ \\ } \\ = \frac{6 - ( - 2)}{(3 - ( - 3)} \\ = \frac{6 + 2}{3 + 3} \\ = \frac{8}{6} \\ m= \frac{4}{3} [/tex]

I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C

[tex] - 2 = \frac{4}{3} ( - 3) + c \\ - 2 = - 4 + c \\ - 2 + 4 = c \\ c = 2[/tex]

THEREFORE THE EQUATION IS

[tex]y = \frac{4}{3} x + 2[/tex]

ATTACHED IS THE SOLUTION

Keisha rented a truck for one day. There was a base fee of $13.75, and there was an additional charge of 10 cents for each mile driven. The total cost, C (in
dollars), for driving x miles is given by the following.

C=0.10x+13.75

What is the total rental cost if Keisha drove 40 miles?

Answers

Answer:

I believe the answer is $17.75

Step-by-step explanation:

As if you have a base fee of 13.75 then 0.10 for each additional mile. Then 40 miles x 0.10 is 4. Hope this helps.

which term could be used to describe the graph of a line on a coordinate plane test points independent variable dependent variable or set of solutions

Answers

Cartesian Co-ordinate system is used to describe graph of a line along a plane to test independent variable vs dependent variable.

the answer is test points

1. A manufacturing line can produce 15 widgets
in 2 minutes. How many widgets can the line
procuce in 30 minutes?

Answers

Answer:

225

Step-by-step explanation:

number of 2 minutes in 30 minutes

= 30 ÷ 2 = 15

each 2 minutes produces 15 widgets , then

15 ( lots of 2 minutes ) produces 15 × 15 = 225 widgets

Among 6225 cases of heart pacemaker malfunctions, 346 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3
different pacemakers randomly selected from this batch of 6225 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire
batch will be accepted? Is this procedure likely to result in the entire batch being accepted?
The probability is. This procedure is
(Round to three decimal places as needed.)
to result in the entire batch being accepted.

Answers

P ( All three are not caused by firmware ) = 8423 %

The probability that the entire batch will be accepted = 0.8423

We are told that out of the 6225 cases of heart pacemaker malfunctions, 346 were found to be caused by firmware.

Thus,

Cases not caused by firmware = 6225 - 346 = 5879

So, the probability of the first case not being affected by the firmware is;

P( first case not caused by firmware ) = 5879/6225

Also,

The probability of the second case not being affected by the firmware is given as;

P(second case not caused by firmware|first case not affected by firmware) = 5878/6224

Similarly,

The probability of the third case not being affected by the firmware is given as;

P(third case not caused by firmware | first and second not caused by firmware) = 5877/6223

Now that we have the three probabilities, it is clear that the occurrences are not independent because the likelihood of one event depends on the likelihood of the others.

Thus, we will make use of the general multiplication rule which is;

P(A & B) = P(B) × P(A|B)

Thus;

P( All three not caused by firmware ) = P(first case not caused by firmware ) × P( second case not caused by firmware | first case not affected by firmware) × P( third case not caused by firmware | first and second not caused by firmware)

Substituting the values,

P(All three not caused by firmware) = ( 5879/6225 ) × ( 5878/6224 ) × ( 5877/6223 )

P(All three are not caused by firmware) = 0.84232558432 = 84.23 %

Learn more about probability here:

https://brainly.com/question/13604758

#SPJ1

Pls help i did'nt have time to do my h.w i have a test tm

Answers

Answer:

Step-by-step explanation:

The triangles are congruent because they have the same shape and size. They are also related in another way that I can't remember.

Help please!!!!!!!!!!!

Answers

3/5 and 19/35.

You can estimate by rounding to the nearest whole number and dividing. The answer from this is 3/5.

To divide exactly, first convert the mixed number into an improper fraction. Then multiply by the reciprocal of 5 (which is 1/5). The answer from this is 19/35.

See details:

One morning in Atlanta, Tina observed that the temperature was 72 degrees. Later the temperature rose 21 degrees and then dropped 11 degrees. She then flew to New York where the temperature was 67 degrees.
What was the change in temperature from when Tina left Atlanta and arrived in New York?
A:5°
B:6°
C:14°
D:15°

Answers

If  She then flew to New York where the temperature was 67 degrees. The change in temperature from when Tina left Atlanta and arrived in New York is : D:15°.

Change in temperature

Given :

Beginning temperature = 72 degrees

Increase in temperature = 21 degrees

Decrease in temperature = 11 degrees

Temperature outside Atlanta = 67 degrees

First step is to calculate the temperature in Atlanta using this formula

Temperature = (Beginning temperature + Increase in temperature - Decrease in temperature )

Let plug in the formula

Temperature =  72 + 21 -11

Temperature = 82 degrees

Second step is to calculate the change in temperature

Change in temperature = Temperature in Atlanta - Temperature in New York

Change in temperature = 82 degrees - 67 degrees

Change in temperature = 15 degrees

Therefore the correct option is D.

Learn more about change in temperature here: https://brainly.com/question/25677592

#SPJ1

For each equation, choose Rational or Irrational to show your answer.

Answers

[tex]\begin{gathered} 3x^2=27 \\ x^2=\frac{27}{3} \\ x^2=9 \\ x=\sqrt[]{9} \\ x\text{ = 3} \\ \text{This answer is rational} \end{gathered}[/tex][tex]\begin{gathered} y^3=49 \\ y\text{ =}\sqrt[3]{49}=\text{ 3.65930571} \\ This\text{ is irrational} \end{gathered}[/tex][tex]\begin{gathered} p^2=169 \\ p\text{ = }\sqrt[]{169} \\ p\text{ = 13} \\ \text{This is rational} \end{gathered}[/tex][tex]\begin{gathered} u\sin g\text{ Pythagoras} \\ d\text{ =}\sqrt[]{6^2+4^2} \\ d\text{ =}\sqrt[]{52} \\ d\text{ = 7.21102551 blocks from the start} \\ \end{gathered}[/tex]


A sample contains 500 grams of titanium-51, which has a half-life of 6 minutes.

Write an expression for A to represent the amount of titanium-51 remaining in the sample after t minutes.

A=

Answers

Titanium is used in aerospace (jet engines, missiles, and spacecraft), military, industrial processes (chemicals and petrochemicals, desalination plants, pulp, and paper), automotive, agriculture (farming), medical prostheses, orthopedic implants, dental and endodontic instruments and files, dental implants, sporting goods, jewelry, cell phones, and other applications, titanium can be alloyed with iron, aluminum, vanadium, and molybdenum, among other elements. And it's half life as per question is [tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

What is titanium?

The chemical element titanium has atomic number 22 and the symbol Ti. A transition metal with a silver hue, low density, and high strength that is resistant to corrosion in sea water, aqua regia, and chlorine can be created by reducing the only form it is found in the nature—an oxide.

William Gregor found the titanium in Cornwall, Great Britain, in 1791. Martin Heinrich Klaproth gave the metal the Titans' name from Greek mythology. The element is found in practically all living organisms, as well as bodies of water, rocks, and soils. It is mostly found in the minerals rutile and ilmenite, which are widely distributed in the Earth's crust and lithosphere. The Kroll and Hunter procedures are used to separate the metal from its main mineral ores. Titanium dioxide, the most prevalent substance, is a well-liked photocatalyst and is utilized in the production of white pigments. In addition, there are other substances such titanium tetrachloride (TiCl4), which is used in smoke screens and catalysts, and titanium trichloride (TiCl3), which is a catalyst in the creation of polypropylene.

This equation can be used to calculate the quantity of unstable nuclei left after time t:

[tex]N(t)=N(0)*0.5^{\frac{t}{T} }[/tex]

where,

N(t) = remaining quantity of substance after time t has elapsed

N(0)=  initial quantity of this substance

T= half life

So, as per question,

[tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

To know more about titanium visit: https://brainly.com/question/8028003

#SPJ9

Answer:

A = 500 (1-0.5)^t/6 =500 (0.5)^t/6

Step-by-step explanation:

Took the test, this is the correct answer

A(t)=P (1-decay rate)^t

P=initial amount

Decay rate = 1/2=0.5

t=time

Make sure use t in minutes for the next calculation

look at the screenshot i need help i will give 50 points

Answers

Answer:

A. 6

B. 2

Step-by-step explanation:

28/4 = 6

4/2=2

ANSWER!
A=7
B=2

EXPLANATION!

For A you are trying to find 2 numbers that multiply to 28, you already have the 4 so you just need to divide

28/4=7

Using that same reasoning you can do 4 divided by 2
4/2=2

Henry is younger than Cameron. Their ages are consecutive odd integers. Find Henry's age if the sum of Henry's age and 2 times Cameron's age is 85.

Answers

Since we used x and x+2 as consecutive odd integers. "x" to represent Henry's age, Henry's age is 27. Since we used the expression "x+2" to represent Cameron's age, Cameron's age is "27+2" which is just 29.

How to do age sums?

So the consecutive odd integers, just means they're separated by a value of 2. This can be generally expressed as "a and a+2" where the these two values would be consecutive odd integers assuming "a" is an integer.

So let's express the Henry's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive odd integer, Cameron's can be expressed as "x+2"

So the equation we need to set up is 2(Cameron's age) + (Henry's age) = 85

So we can substitute variables we defined to express Cameron and Henry's age:

2(x+2)+x= 85

Distribute the 2:

2x+4+x

Add like terms:

3x+4=85

Subtract 4 from both sides:

[tex]3x= 81[/tex]

Divide both sides by 3:

x=27

Since we used "x" to represent Henry's age, Henry's age is 27. Since we used "x+2" to represent the Cameron's age, Cameron's age is "27+2" which is just 29.

To know more about odd integer visit: https://brainly.com/question/18365251

#SPJ9

15. Write the conditional statement that the Venn diagram represents. Be sure to use
the "if, then" format (2 points).
Flower
Rose
Answer:

Answers

The conditional statement that the Venn diagram represents is:

"If it is a rose, then it is a flower".

How to write the conditional statement?

Here we have a Venn diagram, in it we can see that the set called "roses" is included in the set called "flowers".

So, the conditional statement is:

"if it belongs to the smaller set, then it belongs to the larger set"

This is kinda trivial.

For our case, it will be written as.

"If it is a rose, then it is a flower".

Learn more about conditional statements:

https://brainly.com/question/11073037

#SPJ1

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The value of x of the Quadratic Equation, (x - 7)² = 36 when the right-hand side is positive is 13 and for the negative right-hand side, it is 1. So the value of x could be 13 and 1 both.

Split into two equations:

(x - 7)² = 36

(x- 7) = √36 or (x- 7) = -√36

For equation (x- 7) = √36 value of x:

x - 7 = √(6)²

x - 7 = 6

x = 13

For equation (x- 7) = -√36 value of x:

x - 7 = -√(6)²

x - 7 = - 6

x = 1

∴ value of x could be 13 and 1 both.

Learn more about the Quadratic Equation at

https://brainly.com/question/1863222?referrer=searchResults

#SPJ1

Only #1 and 5 please show work THANK YOU

Answers

The single complex number corresponding to each expression:

1. √(-9) = 3i

2. √(-16) = 4i

3. √(-6)√(-24) = 12

4. √(-3)√(-75) = 15

5. (2+√(-12))/2 = 1 + 3i

6. (4 + √(-20))/2 = 2 + 5i

We represent √(-1) as i which is an imaginary number. Complex numbers are numbers of the kind a + ib, where a and b are real numbers.

Hence all real numbers are also complex numbers (i.e., when b = 0).

Also we use some formula for square roots:

√(ab) = (√a )(√b)

Now, to find the single complex number corresponding to each expression:

1. √(-9) = √(9) x √(-1) = 3i

2.  √(-16) = √(16) x √(-1) = 4i

3. √(-6)√(-24) = √(-6 x -24) = √(144) = 12

4. √(-3)√(-75) = √(-3 x -75) = √(225) = 15

5.  (2+√(-12))/2 =  (2+√4√3√(-1))/2 =  (2+2 x (√3)i)/2  = 1+(√3)i

6. (4 + √(-20))/2 = (4 + √4√5√(-1))/2 = (4 + 2 x (√5)i )/2 = 2 + (√5)i

Learn more about complex numbers at https://brainly.com/question/5564133

#SPJ1

Relative rates of Growth:Not that difficult but some rules are needed. Ask me if you have any questions regarding the material. Thanks!

Answers

[tex]\begin{gathered} \text{Given} \\ \lim _{x\rightarrow\infty}\frac{f(x)}{g(x)}=5 \end{gathered}[/tex]

Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant

he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.

explain how to use absolute value to find the distance on the number line between any positive number and any negative number give a example

Answers

Answer:

The absolute value is the distance between a number and zero on a number line. There are always two numbers on the number line that are the same distance from zero. For instance, the numbers 4 and -4 are each a distance of 4 units away from zero. represents the distance from 4 to zero, which equals 4.

Add to brainliest!

HELP MEEEE PLEASE!!

Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?

_________ additional gigabytes of data

Answers

Considering the definition of an equation and the way to solve it, for 6 additional gigabytes of data the two companies would charge the same amount.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

Being "x" the number of miles driven, and knowing that:

Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. → Price of company A= 20.40 +9.80xCompany B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte.→ Price of company B= 18.60 +10.10x

If the price charged by each company is the same, the equation is:

Price of company A= Price of company B

20.40 +9.80x= 18.60 +10.10x

Solving:

20.40 - 18.60= 10.10x - 9.80x

1.8= 0.3x

1.8 ÷ 0.3= x

6= x

Finally, for 6 of additional gigabytes the two companies would charge the same amount.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

Find the domain and range of the relation.
((-9, 9), (-9, 6), (1, 2), (-4, -5), (7, -2)]

Answers

It would be the first then to last for each one

A group of coworkers put their money together to buy raffle tickets and won $1500. if we use the variable w to represent the number of coworkers, which of these represents how much prize money each person gets?

Answers

The equation which represent the prize money given to each person is $1500/w.

What is described as the unitary method?The unitary method is a process that determines the value of a single unit from of the worth of multiple units, as well as the value of different components from the price of a single unit.It is a technique that we employ for the majority of math calculations.

For the given condition in question;

Let 'w' be the number of coworkers.

The total money given to buy raffle tickets and won $1500.

This cam be written as;

w worker -------> $1500.

For 1 worker, use unitary method.

Divide both side by w.

1 worker -------> $1500/w.

Thus, the prize money given to each worker is $1500/w.

To know more about the unitary method, here

https://brainly.com/question/28792277

#SPJ10

Other Questions
1. the interest on $2,00 for 2 years is 320 what is the simples interest rate 2. if the interest earned on an account after 2 years is $15, how much would it be after 10 years? *PLEASE SOLVE!!!*In late 1897, Amos Dolbear published an article called The Cricket as a Thermometer." He had determined that the outside temperature (in Fahrenheit) shared a linear relationship with the number of times the snowy tree cricket would chirp per . If you count the number of cricket chirps per (while sitting inside your warm house), then you can find the temperature outside. In his research, Dolbear concluded that for every extra cricket chirp per second, the temperature was 1/4*F higher. Furthermore, he found that when the number of cricket chirps per minute was 120, the temperature outside was 70*F.What are the quantities in this scenario?What in the problem suggests or indicates that the relationship between the temperature and the number of chirps per minute should be linear?If you graph the relationship, what will be the value of the slope of the graph?What is the y-intercept? y=x2^+9x+7 in vertex form There are two bags of marbles. The first contains one blue, one yellow and two reds. The seconds contains one red, one blue and two yellows. A random marble from each bag is removed. What is the probability of removing a blue and yellow? Give answer as a fraction. Freud thought that personality was formed by the unconscious mind. Why was this idea criticized? why have most cultures throughout history used artistic works as a form of respresentation A 3 lb (1.36 kg) bag of carrots cost $3.25, a 75 lb (ca. 34 kg) bag of carrots cost $4.75, which is the better deal? stock a has a standard deviation of 22% and an expected return of 12%. stock b has a standard deviation of 25% and an expected return of 10%. jami's fund is a simple investment product that consists of 40% stock a and 60% stock b. calculate the expected return of jami's fund. choose the best answer. After learning about the background information, why might the brothers be on different sides of the civil war? When note-taking during research, what is the best answer for the items should you keep notes about? Question 14 options: a) authors b) titles c) dates of publication d) all of these are needed items Pleaseeeee help answer in own words dont have to be long leave the ones u dont know lol. Ill brainlist i promiseeee.1) what problems. In terms of dealing with each other, would the indigenous people and the early British settlers have had with one another?2) John Batman bought a large chunk of land from the Wurundjeei people in 1835. What did that mean for both sides? 3) what had the largest impact on the population of indigenous peoples in the early years of British settlement and why?6) at coranderrk station, what did the Kulin nations people do to try maintain a sunctuary for themselves? 7) William coopers petition to the king was aimed at what exactly?8) Why did the 1939 cummeragunja walk-off occur? 3. Perform the indicated operation. Show all necessary work.(a) -1.424-2.9(b) 1.424-(-2.9)(c) -1.424-(-2.9) -0.576Answer: An arch is in the shape of a parabola. It has a span of 72 meters and a maximum height of 9 meters. In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle.a=229,b=244, and A = 37.8 You're trying to choose between two different investments, both of which have up-front costs of$30,000. Investment G returns $65,000 in six years investment H returns $98,000 in nine yearsperiod new sentence which of these investments has higher return? In what sense did federalists think that antifederalists were undermining the foundations of republicanism and that they, the federalists, were actually saving the revolution?. b. What is the atomic mass of the element in period 5, group 14? At the time of retirement a couple has $250,000 in account that pays 8. 4% compounded monthly. If the couple decides to withdraw from the account monthly for 10 years, how much should they withdraw every month if they dont want any money in the account after those 10 years?. Write the equation of the line that passes through the points (-1,4)and (1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Zoe's workstation is being evaluated by an ergonomics specialist. How far away would they recommend she position her monitor?Question 6 options:12 inches from her eyes36 inches from her eyes20 inches from her eyes30 inches from her eyes