Find the value of the trigonometric ratio, cos L.

Find The Value Of The Trigonometric Ratio, Cos L.

Answers

Answer 1

Answer:

b/h

Step-by-step explanation:

remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.


Related Questions

HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55

Answers

Answer:

Kobe raised x + 24.55

Amari raised x

DJ raised 2x – 15.60

10 rubber stamps cost $10.30 Which equation would help determine the cost of 2 rubber stamps?

Answers

10.30/10 = 1.03 per stamp 1.03 x 2 = $2.06 for two

Answer:
$2.06
Rounded:
$2.00

The cost of 2 rubber stamps is $2.

We have given that rubber stamps cost $10.30  

we have determined the cost of 2 rubber stamps.

We have to find the price per stamp.

What is the formula for the value price of one stamp?

[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]

Therefore we get,

10.30/10 = 1.03 per stamp

For two stamps:

1.03 x 2 = $2.06 for two

=$2.06

=$2

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In a triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= square root 2 .

Answers

Answer:

AC=2.06cm

Step-by-step explanation:

AC^2=AD^2+CD^2

AC^2=1.5^2+1.4142^2

AC^2=2.25+2=4.25

....

[tex] \sqrt{ac {}^{2} } [/tex]

=

[tex] \sqrt{4.25 = } 2.06[/tex]

Answer:

AC=2.06 cm

Step-by-step explanation:

True or false? It's possible to create a regular tessellation with a regular octagon.

Answers

The answer should be False

It is possible to create a regular tessellation with a regular octagon, is false.

What is regular tessellation?

A tessellation or tiling is the seamless covering of an area, frequently a flat, including one or much more geometric forms, known as tiles.

It is impossible to create a regular tessellation with a regular octagon because when an octagon is arranged, a gap is there.

Then the statement is false.

More about the regular tessellation link is given below.

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PLS RESPOND ASAP 7th grade math

Answers

Answer:

3/4

Step-by-step explanation:

The constant of proportionality is y/x

3/4

PLEASE HELP! 10 POINTS!The graphs of f(x) and g(x) are shown below:
What are the solutions to the equation f(x) = g(x)?
Ox= -3,4
x = -4.2.5
X = -0.8, 2.5
X = 8.-8

Answers

Answer:

x = -4, 2.5

Step-by-step explanation:

To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.

Lina is making a trail mix of a hiking trip. She has 2 1/2 cups of peanuts, 3 1/4 cups of raisins, and 2 2/3 cups of banana chips. How many cups of trail mix can she make? Please answer this if you want too.

Answers

Answer: 8 cups of trail mix

Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.

Hope this helps:)

How do you know if x is on the rhs or the lhs?

Answers

Answer:

Step-by-step explanation:

RHS means on the right hand side

And LHS means on the left hand side

So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS

can someone simplify (3x)^4

Answers

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

please mark me brainliest!

simplify each expression using the proper order of operations. please help thank you so much :)

[tex]\frac{41 - 3^2}{\sqrt{36}* 3 - 26 }[/tex]= ?

12 + [tex]{3} \sqrt{8}[/tex]*(9-2)= ?

[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?

[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]* [tex]\frac{2}{3}[/tex]= ?

7^2 - 5* 8+1= ?

(2* [tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]* [tex]\sqrt{81}[/tex]) + 7= ?

Answers

Answer:

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

Step-by-step explanation:

Required: Solve the expressions using proper operation order

To solve this, we'll make use of BODMAS

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

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26}[/tex]

Evaluate all squares and square roots

[tex]\frac{41 - 3*3}{\sqrt{36} * 3 - 26}[/tex]

[tex]\frac{41 - 3*3}{6 * 3 - 26}[/tex]

Evaluate the numerator (Start by multiplying 3 * 3)

[tex]\frac{41 - 9}{6 * 3 - 26}[/tex]

Subtract 9 from 41

[tex]\frac{32}{6 * 3 - 26}[/tex]

Evaluate the denominator (Start by multiplying 6 * 3)

[tex]\frac{32}{18 - 26}[/tex]

[tex]\frac{32}{-8}[/tex]

Divide 32 by -8

-4

Hence;

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

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

[tex]12 + 3\sqrt{8} * (9 - 2)[/tex]

Start by evaluating the bracket

[tex]12 + 3\sqrt{8} * 7[/tex]

Then evaluate the multiplication

[tex]12 + 21\sqrt{8}[/tex]

Simplify the square root

[tex]12 + 21\sqrt{4 * 2}[/tex]

Split the square root

[tex]12 + 21\sqrt{4} * \sqrt{2}[/tex]

Take Square root of 4

[tex]12 + 21 * 2} * \sqrt{2}[/tex]

[tex]12 + 42 \sqrt{2}[/tex]

Hence;

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

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

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5}[/tex]

Evaluate 7²

[tex]\frac{28 - (49 + 3)}{-13 + 3 * 5}[/tex]

Evaluate all expression in the bracket

[tex]\frac{28 - (52)}{-13 + 3 * 5}[/tex]

[tex]\frac{28 - 52}{-13 + 3 * 5}[/tex]

Evaluate 3 * 5

[tex]\frac{28 - 52}{-13 + 1 5}[/tex]

[tex]\frac{-2 4}{2}[/tex]

[tex]-12[/tex]

Hence;

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

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

[tex]7^2 - 5* 8+1[/tex]

Evaluate 7²

[tex]49 - 5* 8+1[/tex]

Evaluate 5 * 8

[tex]49 - 40 + 1[/tex]

[tex]10[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

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

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1[/tex]

Evaluate all square root and cube root

[tex](2 * 4) - (3 * 9) + 1[/tex]

Solve the expressions in bracket

[tex]8 - 27 + 1[/tex]

[tex]-18[/tex]

Hence;

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)

Answers

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options.. StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction

Answers

Answer:

Water a tank can hold = 14 1/2 = 29/2

Volume of bucket 1 1/4 = 5/4

The expresson can be

29/2 / 5/4

No. of buckets used = 29/2 x 4/5

Answer:

b and e

Step-by-step explanation:

You want to design a survey to determine how much money people are willing to spend
on concert tickets. Which of the following methods would be most practical and have
the least bias?
Choose 4 neighborhoods at random and poll every home in those
neighborhoods.
Poll 10% of the homes in the area chosen at random.
Poll the first 100 people who enter the mall.
Poll everyone in the area.

Answers

Answer:

The correct option is;

Choosing 4 neighborhoods at random and poll every home in those neighborhoods

Step-by-step explanation:

Given that the survey relate to how much money people are willing to spend on on concert tickets with the goal of being practical and unbiased, we have;

Required sampling = Random Sampling

The preferable type of random sampling is either;

1) Simple random sampling

Sampling a given percentage of the homes in the area randomly

2) Clustered random sampling

Completely polling entire population of randomly selected area

Given the practicability of sampling concert goers, since people may have different interests, a better representative sample will be to perform the clustered random sampling approach by choosing 4 neighborhoods at random and poll every home in those neighborhoods.

The probability of picking a quarter from a jar of coins is 0.125. If Noah has 250 coins in the jar, about how many quarters are in the jar?

Answers

Answer:

31.25

Step-by-step explanation:

There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day

Answer:

31 quarters

Step-by-step explanation:

Have an equation set

Then you solve the equation you get 31.25

Round the number since you can't have 31.25 quarters it just doesn't make sense.

Round it to 31

Therefore your answer is 31 quarters

Hope this Helps!

what is 10x^5 ÷ x^2​

Answers

Answer:

The quotient of 10x⁵ ÷ x² equals to 10x³

Step-by-step explanation:

In the problem, we are asked to find the quotient of 10x⁵ ÷ x². The rule of exponents is when you are dividing exponents, you subtract the exponential numbers. So, you would subtract 5 by 2 because those are our exponential values.

So, 10x⁵ ÷ x² equals 10x³

Which choice shows the image of quadrilateral WXYZ after a reflection over the y-axis followed by a translation down 2 units?

Answers

Answer:

Choices are not provided, but you can answer the question as follows: take the coordinates of quadrilateral WXYZ and apply:

W(xW, yW) -> W'(-xW, yW-2)

X(xX, yX) -> X'(-xX, yX-2)

Y(xY, yY) -> Y'(-xY, yY-2)

Z(xZ, yZ) -> Z'(-xZ, yZ-2)

For example, if point W is located at (1, 1), W' would be located at (-1, -1)

Step-by-step explanation:

Reflection over the y-axis transforms point (x, y) into (-x, y)

Translation down 2 units transforms point (x, y) into (x, y-2)

Answer:

The first choice hope this helps :)

Step-by-step explanation:

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find the length of SP Find the length of PQ Find the length of RQ Use this information to determine if the quadrilateral a parallelogram.

Answers

Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.

help please heeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

8.29166

Step-by-step explanation:

3.5_0.375+5.166666

Answer:

[tex]8 \frac{7}{24} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

- 2x
f(x)= x +4,
4x - 7
XS-10
- 10 X2
20. Use the piecewise function to evaluate points f(-1), f(2), and f(12).
O A. f(-1) = 3, f(2) = 1, and f(12) = 41
B. f(-1) = 3, f(2) = 6, and f(12) = 41
O C. f(-1) = 2. f(2) = 1, and |(12) = 41
D. f(-1) = 2. f(2) = 6, and f(12) = 41

Answers

Answer:

[tex]f(-1) = 3[/tex]

[tex]f(2) = 6[/tex]

[tex]f(12) = 41[/tex]

Step-by-step explanation:

Given

The piece wise function can be split to:-

[tex]f(x) = -2x[/tex]   [tex]x\leq -10[/tex]

[tex]f(x) = x + 4[/tex]   [tex]-10<x\leq 2[/tex]

[tex]f(x) = 4x - 7[/tex]   [tex]x> 2[/tex]

Required

f(-1), f(2) and f(12)

To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function

Solving f(-1)

-1 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute -1 for x

[tex]f(-1) = -1 + 4[/tex]

[tex]f(-1) = 3[/tex]

Solving f(2)

2 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute 2 for x

[tex]f(2) = 2 + 4[/tex]

[tex]f(2) = 6[/tex]

 

Solving f(12)

12 is within the range of [tex]x> 2[/tex]

Hence; we make use of [tex]f(x) = 4x - 7[/tex]  

Substitute 12 for x

[tex]f(12) = 4(12) - 7[/tex]  

[tex]f(12) = 48 - 7[/tex]

[tex]f(12) = 41[/tex]

Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.

Answers

Answer:

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Step-by-step explanation:

we know sum of angles of triangle is 180 degrees

given

m∠A : m∠B : m∠C = 2:3:4

let the angle be

m∠A = 2x

m∠B = 3x

m∠C= 4x

we have taken such angle by applying rule of indices where

a:b:c = ax:bx:cx

which means that if we multiply all term of ratio by same number ratio remains same

thus,

2x+3x+4x = 180

9x = 180

x = 180/9 = 20

Thus,

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2

Answers

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

Graph the equation by plotting three points -3y=x-6

Answers

Answer:

Use a graphing calc

Step-by-step explanation:

A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement which
of the following statements is true about the sample?
It is not a valid sample because it is only a short study
It is a valid sample because money was offered to participants
It is a valid sample because the first five people were selected to participate
It is not a valid sample because it is not a random sample of the population

Answers

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter

Answers

The answer is 142 degrees.

Explanation: They are supplementary angles meaning they equal 180degrees. So 180-38= 142

Pls help me I need the help!

Answers

Answer:

1a) 15, 7, x+5

1b) 7

2a) 18, 3r

Step-by-step explanation:

1a) Since Claire is 5 years older, she will always be her cousin's age plus 5

1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5

2a) Diego will have the amount of Han's books times 3

Answer:

Clare Questions:

Cousin: 10, Clare: 15

Cousin: 2, Clare: 7

Cousin: x, Clare: x + 5

Cousin: 7, Clare: 12

Diego Questions:

Han: 6, Diego: 18

Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively

Step-by-step explanation:

Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.

example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.

Since DIego has 3 times as many books than Hans, it multiplies by 3.

example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -3), B(4, -3), C(4,5), and D(2,5) What is the perimeter of rectangle ABCD

Answers

Answer:

20

Step-by-step explanation:

(2,-3) to (4,-3) = 2

(4,-3) to (4,5) = 8

(4,5) to (2,5) = 2

(2,5) to (2,-3) = 8

Total =20

Answer:

20

Step-by-step explanation:

khan said so trust me

Which document do you need to have on hand when preparing to file your tax return?
O A.
auto insurance card
OB.
birth certificate
OČ.
driver's license
OD.
Form W-2
O E.
Form W-4​

Answers

Answer:

w-2

Step-by-step explanation:

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.

What is tax return?

A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.

It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.

Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.

It is a necessary document for accurately preparing and filing an individual's tax return.

Thus, the correct option is D.

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A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order. If you match the first number only, you win $200. If you match the first two numbers and not the third, you win $5000. If you match all three numbers, you win $100,000. In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.

Answers

Answer:

00 to 99 are 100 numbers.

If you match the first number only, you win $200. The Probability for this is 1/100.

If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.

If you match all three numbers, you win $100,000. The Probability for this is 3/100.

And, If you are a customer, You will think is fair for you.

But if you are the lottery tickets company, you will think is not fair for you.

It depends who you are. 

the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.

Need help with this question please:

Answers

Answer:

If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps

Step-by-step explanation:

Please help with this

Answers

Answer:

5/2

Step-by-step explanation:

We take the ratio of a side of ABC over the same side on DEF

AB/ DE

35/14

Divide top and bottom by 7

5/2

Other Questions
In which situation would saving a Word document as a PDF be most useful?when checking for accessibility issuesO when allowing users to make changes to a documentwhen users who want to view a document do not have WordO when sending a document to a person who has no access to browsers any element that has a starting tag and does not have a closing tag is called a ?pls be quick guys Please help me I will give BRAINLIST and a like I rlly need help The largest fish ever caught in Lake A weighed 650 pounds. This is 208.2 pounds less than seven times the weight of the largest fish ever caught in Lake B. Find the weight of the largest fish caught in Lake B nts The top speed you will ever needto go in a parking lot isO A. 20 mphOB. 10 mphOC. 1 mphD. 15 mph Escoja la frase que significa: Pepe es inteligente. a. Pepe es listo. b. Pepe esta verde. c. Pepe es verde d. Pepe esta listo. (a) Which of the following has only one subset? (1)(i) {2} (ii) { } (iii) {} (iv) None of these A population contains short plants and tall plants. The short plants are not able to compete with tall plants for sunlight. The tall plants, however, are more susceptible to wind damage. Which type of selection will this population of plants most likely experience? directional selection disruptive selection species selection stabilizing selection He federal government under the Articles of Confederation: the power to borrow money the power to tax the states the power to admit new states to the Union the power to settle disputes between the states the power to override state laws the power to regulate currency the power to manage foreign affairs Which of the following best describes the behavior of nonconservative elements in seawater?A. Nonconservative elements are reactive in seawater and have a long residence time.B. Nonconservative elements are reactive in seawater and have a short residence time.C. Nonconservative elements are non-reactive in seawater and have a short residence time.D. Nonconservative elements are non-reactive in seawater and have a long residence time. Help please solve this On December 31, 2014, Flint Corporation sold for $100,000 an old machine having an original cost of $180,000 and a book value of $80,000. The terms of the sale were as follows:$20,000 down payment$40,000 payable on December 31 each of the next two yearsThe agreement of sale made no mention of interest; however, 9% would be a fair rate for this type of transaction. What should be the amount of the notes receivable net of the unamortized discount on December 31, 2012 rounded to the nearest dollar? (The present value of an ordinary annuity of 1 at 9% for 2 years is 1.75911.)a. $70,364b. $90,364.c. $80,000.d. $140,728. kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables during the American football game. He also does not want to have any sodas left over. what is the greatest number of refreshment tables that Kamal can stock Why did European nations face financial challenges after World War I? A differentiating characteristic of private security personnel is that their primary function is to protect property, while the goal of public police officers is to serve and protect the citizens of the area they serve.A. TrueB. False Under conditions for which the same room temperature is maintained by a heating or cooling system, it is not uncommon for a person to feel chilled in the winter but comfortable in the summer. Provide a plausible explanation for this situation (with supporting calculations) by considering a room whose air temperature is maintained at 20 throughout the year, while the walls of the room are nominally at 27 and 14 in the summer and winter, respectively. The exposed surface of a person in the room may be assumed to be at a temperature of 32 throughout the year and to have an emissivity of 0.90. The coefficient associated with heat transfer by natural convection between the person and the room air is approximately 2 W/m2K. I. Using the picture of Roberto y Graciela and the list of their features below, write 10 sentences in Spanish telling us what they look like, what their personalities are like, and where they are from. ________________ 1. Roberto has short, curly hair. 2. Graciela has red, straight hair. 3. Roberto is thinner than his brother. 4. Graciela is the thinnest in her family. 5. Roberto is the tallest of his friends. 6. Graciela is shorter than Roberto. 7. Roberto is nice and sociable. 8. Graciela is nice but shy. 9. Roberto is from Chicago. 10. Graciela is from Ecuador. A water-balloon launcher with mass 5 kg fires a 1 kg balloon with a velocity of8 m/s to the east. What is the recoil velocity of the launcher? Find the value of x and simplify completely. Si quiero proteger la salud de mis compaeros de clase, debo: A) mantener el estmago vacio. B) tomar ms vitaminas. C) cubrirme la boca al toser. D) medirles la estatura.