What is the answer to (20÷4)-3

Answers

Answer 1

Answer:

2

Step-by-step explanation:

(20÷4)-3

20÷4=5

5 x -3= 2

Answer 2

Answer:

2

Step-by-step explanation:

20 /4=5

5-3=2


Related Questions

what is 9/20 times 4/5 in simplest form ?

Answers

Answer:

0.36 or [tex]\frac{9}{25}[/tex]

Step-by-step explanation:

9/20=.45

4/5=.8

Answer: .36

What is the value of the expression below? (Four-fifths + three-fifths) + 3.5 times 5

Answers

Answer:

21

Step-by-step explanation:

Answer:

18 and 9/10

Step-by-step explanation:

if you add 4/5+3/5=7/5 or 1.4.       3.5*5=17.5, then you add them together to get 18.9 or in the fraction version= 18 and 9/10

4 times the quotient of 3 and 4

Answers

Answer:

3

Step-by-step explanation:

You would start by dividing

3 by 4. Then multiply 3/4 and 4. The 4s would cancel out leaving you with 3.  3/ 4×4=3

hope this helps

Final answer:

To answer the student's question, first find the quotient of 3 and 4, which is ¾, and then multiply that result by 4 to get the final answer of 3.

Explanation:

The student is asking for the result of multiplying 4 with the quotient of 3 and 4. To solve this, first calculate the quotient of 3 and 4, which is ¾. Then, multiply this result by 4.

Step 1: Quotient of 3 and 4 = 3 ÷ 4 = ¾

Step 2: Multiply the quotient by 4 = ¾ × 4

When you calculate step 2, you get:

¾ × 4 = (3 × 4) / 4 = 3

So, 4 times the quotient of 3 and 4 is 3.

fill in the blanks 1 1/2 is ____ % of 7 1/2 ; 7 1/2 is ____ % of 1 1/2

Answers

Answer:

20; 500

Step-by-step explanation:

1.5 is what percent of 7.5. 7.5 is 5 times 1.5, so 1.5 is 1/5 of 7.5. 1/5=20%. Inversely, 7.5 is 5 times 1.5, 5=500%.

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}[/tex];  [tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}[/tex]

First, convert the mixed numbers to improper fractions:

[tex]1 \frac{1}{2}[/tex] becomes [tex]\frac{3}{2}[/tex].

[tex]7 \frac{1}{2}[/tex] becomes [tex]\frac{15}{2}[/tex].

To determine the percentage, we use the percentage formula:

[tex]\text{Percentage} = \frac{\text{part}}{\text{whiole}} \times 100\%[/tex]

Determine what percentage of [tex]1 \frac{1}{2}[/tex] is [tex]7 \frac{1}{2}[/tex]:

[tex]\frac{\frac{3}{2}} {\frac{15}{2}} \times 100\% = \frac{3}{15}\times 100\% = \frac{1}{5}\times 100\% = 20\%.[/tex]

Thus,

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}.[/tex]

For the second part, determine what percentage [tex]7\frac{1}{2}[/tex] is of [tex]1 \frac{1}{2}[/tex]:

[tex]\frac{\frac{15}{2}} {\frac{3}{2}} \times 100\% = \frac{15}{3}\times 100\% = 5\times 100\% = 500\%.[/tex]

Thus,

[tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}.[/tex]

Complete question:

fill in the blanks:

[tex]1 \frac{1}{2}[/tex] is ____ % of [tex]7 \frac{1}{2}.[/tex] ;            [tex]7 \frac{1}{2}[/tex] is ____ % of [tex]1 \frac{1}{2}.[/tex]  

Read the pic boiiiiiiiiiiiiiiiii

Answers

Answer:

a is the answer or 320 ft

Step-by-step explanation:

95*65=6175 ft^ for area

95+95+65+65=320 ft

4/5 is greater than less then or equal to 1/2

Answers

Greater Than!

First make the denominator (the bottom number) the same for both fractions. So you can multiply the 1/2 by 5 and the 4/5 by 2.

This will make them 5/10 and 8/10.

Then, you see that 8/10 (4/5) is greater than 5/10 (1/2)

Hope that’s makes sense! :)

Final answer:

The fraction 4/5 is greater than 1/2. This conclusion can be reached by converting the fractions to decimal form, where 4/5 becomes 0.8 and 1/2 becomes 0.5, highlighting that 0.8 is indeed greater than 0.5.

Explanation:

The question is whether the fractional value of 4/5 is greater than, less than, or equal to 1/2. To compare these fractions, it may be helpful to first convert them to decimal form, as this is often easier to understand than comparing fractions directly. 4/5 as a decimal is 0.8 and 1/2 as a decimal is 0.5. Hence, 0.8 is greater than 0.5. Therefore, 4/5 is greater than 1/2.

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Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intrest will he make after 3 years

Answers

Answer:

$45

Step-by-step explanation:

We are given the following information;

Money invested (Principal) is $300Rate of interest is 5% per annumTime the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

Simple interest is calculated by the formula;Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

                         = $45

Thus, the money invested earned a simple interest of $45

Final answer:

Using the formula for simple interest, we find out that Edin will earn £45 as interest on his savings of £300 over a period of 3 years at a simple interest rate of 5% per annum.

Explanation:

The subject of this question is simple interest. The formula for simple interest is: Principal * Rate * Time. Let's plug in the given values into the formula. Here, the principal amount is £300, the rate of interest is 5% per annum (or 0.05 in decimal form), and the time is 3 years. So, the calculation will be: £300 * 0.05 * 3.

After performing the calculation, we find that the interest Edin will earn after 3 years is £45.

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Write the equation of a line that contains (2,-4) and that is perpendicular to y=2/3x+2

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex], thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 4) into the partial equation

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - [tex]\frac{3}{2}[/tex] x - 1 ← equation of perpendicular line

Please help me with these answers!!!

Answers

Answer:

Step-by-step explanation:

5) D  2000/200 = 10

6) C 90/9 = 10

7) B 80/8 = 10

8) A)   10 times 2 =10*2 = 20

Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?

Answers

Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50

To Find:

Number of times must Seth attend in order for it to benefit his father to buy the pass = ?

Solution:

Let x be the number of times he wants to visit

To profit his father

The number of visits without pass =  the number of visits with passin the cost  of $3.50

Then, without pass if he visits for x times then the cost will be  = 3.50x

Also with pass, the number of times he can visit the pass  =  [tex]\frac{40}{3.50}[/tex]

then

[tex]\frac{350 x}{3.50} = \frac{40}{3.50}[/tex]

[tex]3.50x = 40[/tex]

[tex]x = \frac{40}{3.50}[/tex]

x =  11.42

x = 11 (approx)

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $24.80. The oil change for the other car required 7 quarts of oil and cost $29.30. How much is the labor fee and how much is each quart of oil?

Answers

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80        Eqn 1

7x+y=29.30        Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{4.50}{2}\\x=2.25[/tex]

Putting x=2.25 in Eqn 1

[tex]5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55[/tex]

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

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A dress that is regularly priced $80 is on sale for 30% off. What is the sale price of the dress?

Answers

Answer:

$56?

Step-by-step explanation:

I think you get 100%-30%=70%.

70%=0.70

0.70*$80= $56

Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A

enter the ratios in reduced form:

Answers

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{20}{29}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{21}{29}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{20}{21}[/tex]

Final answer:

The functions sin, cos, and tan for a given angle in a right triangle are defined in terms of ratios of the side lengths. They are respectively the ratios of the opposite side to the hypotenuse, the adjacent side to the hypotenuse, and the opposite side to the adjacent side.

Explanation:

In a right triangle, sin(A) is defined as the ratio of the side opposite to angle A (opposite side) to the hypotenuse, cos(A) as the ratio of the adjacent side to the hypotenuse, and tan(A) as the ratio of the opposite side to the adjacent side.

Suppose the lengths of the sides of the given right triangle are a, b, and c (where c is the length of the hypotenuse).

Then, sin(A) = a/c, cos(A) = b/c, and tan(A) = a/b. These ratios must be put in reduced form by simplifying the fractions if necessary.

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when Elena 's car moves forward such that each tire make one full rotation ,the car has traveled 72 inches .how many full rotations will the tire need to make for Elena's car to travel 10 yards

Answers

It will take 5 full rotations for Elena's car to travel ten yards

explanation: 10 yards=30 feet, and there are 12 inches in one foot. multiply 30 by 12. once you do that, you get 360. next, divide 360 by the 72 inches in each full rotation. 360/72=5. so the answer is 5 full rotations

What is (4x+5y)(2x+3y)

Answers

Answer:

8

x

2

+

22

x

y

+

15

y

2

Step-by-step explanation:

yeet

Answer:

Step-by-step explanation:


The physician tells a woman who usually drinks 5 cups of coffee daily to cut down on her coffee consumption by 75%. If this woman is compliant with the physician's instruction, how many ounces of coffee is she allowed daily?

Answers

Answer:

Step-by-step explanation:

5 cups per day.....1 cup = 8oz.....so 5 cups = (5 * 8) = 40 oz

cut down by 75%....means ur only drinking 25%

25% of 40 oz =

0.25(40) = 10 oz per day <===

what is 1 1/2 divided by 3/4

Answers

The answer to this one would be 2.

Answer: 2

Step-by-step explanation:

1 1/2 divided 3/4

First make all a fraction

3/2 divided 3/4

3/2*4/3 inverted

2

what is the answer of 1/4+1/5+1/6=​

Answers

15/60+12/60+10/60= 37/60

74 / 120 = 37 / 60 is the final simplified answer

the sum of the 5th term of the 7th term of an ap is 52 and the 10th term is 46 find the AP​

Answers

Answer:

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................

Step-by-step explanation:

From the question;

Sum of fifth term and 7th term is 52 That is; 5th term + 7th term = 5210th term is 46

We are required to find the AP;

We need to know that in an AP ;

nth term = a + (n-1) d , where a is the first term and d is the common difference

Therefore, In this case;

5th term = a + 4d

7th term = a + 6d

Therefore;

5th term + 7th term = 2a + 10d = 52  ..........eqn 1

10th term = a + 9d

Thus, a + 9d = 46 ............. eqn 2We can solve eqn 1 and eqn 2 simultaneously to get the value of a and d

2a + 10d = 52

a + 9d = 46

Multiplying the second equation by 2, we get;

2a + 10d = 52

2a + 18d = 92

Eliminating a by subtracting the two equations; we get;

-8d = -40

   d = 5

Solving for a

a + 9d = 46

   a = 46 - 9d

      = 46 - 9(5)

      = 46 - 45

   a  = 1

Thus, the first term, a= 1 and the common difference, d= 5

Therefore;

First term = a = 1

Second term = a + d = 1 + 5 = 6

Third term = a + 2d = 1 + 2(5) = 11

Fourth term = a + 3d = 1 + 3(5) =16

Fifth term = a + 4d = 1 + 4(5) = 21

Sixth term = 1 + 5d = 1 + 5(5) = 26

Seventh term = 1 + 6d = 1 + 6(5) = 31

Thus,

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................

- V17 is the geometric mean between 7 and what other number?

Answers

Answer:

[tex]\large\boxed{x=\dfrac{17}{7}}[/tex]

Step-by-step explanation:

[tex]\text{A geometric mean of}\ x\ \text{and}\ y:\\\\\sqrt{xy}\\\\\text{Let}\ x-\text{the number}.\\\\\text{Substitute:}\\\\\sqrt{17}=\sqrt{(7)(x)}\iff17=7x\qquad\text{divide both sides by 7}\\\\\dfrac{17}{7}=\dfrac{7x}{7}\to x=\dfrac{17}{7}[/tex]

25. Belle had the choice of taking out a 4-year car loan at
8.5% simple interest or a 5-year car loan at 7.75%
simple interest. If she borrows $15,000, how much
interest would she pay for each loan? Which option
will require less interest?

Answers

Answer:

the first loan is cheaper

Step-by-step explanation:

convert percent values to decimals

8.5/100=.085

7.75/100=.0775

find the value for the first loan

1550*.085*4=527

find the value for the first loan

1550*.0775*5=600.625

compare

Final answer:

Belle would pay $5100 in interest for the 4-year loan at 8.5% and $5812.50 for the 5-year loan at 7.75%. Therefore, less interest would be paid with the 4-year loan.

Explanation:

To calculate the simple interest, we use the formula I = P*R*T, where P is the principal amount, R is the interest rate, and T is the time in years.

For the 4-year loan at 8.5%, interest would be: I = $15,000 * 8.5/100 * 4 = $5100

For the 5-year loan at 7.75%, interest would be: I = $15,000 * 7.75/100 * 5 = $5,812.50.

So, the 4-year loan at 8.5% will require less interest payment.

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Why does it take 3 copies of 1/6 to show the amount as 1 copy of 1/2

Answers

3 copies of 1/6 makes it 1 copy 1/2 because 3 times of 1/6 is 3/6 which is 1/2

Step-by-step explanation:

3 times 1/6 = 3/6

which is 1/2.

Hence it takes 3 copies of 1/6 to show the amount as 1 copy of 1/2

Alternatively,

1/6+1/6+1/6= 1/2

3/6=1/2

1/2=1/2

Alex wants to buy 4 pounds of peaches.They cost $1.20 per pound.How much will Alex need to spend for the peaches?

Answers

The correct answer $4.80

Greatest to least 1/2 1/5 3/8

Answers

Answer:

1/5 3/8 1/2

Step-by-step explanation:

Greatest to Least: 1/2, 3/8, 1/5

In testing the effectiveness of an energy drink on the performance of athletes, 50 athletes were given water and 50 athletes
were given a new energy drink, Yellow Bull. After drinking, each athlete was asked to perform a one-mile run, a 100 yard sprint
and 20 pull-ups.

A) conclusion
B)hypothesis
C)dependent variable
D)independent variable

Answers

The correct answer is C; Dependent variable.

Further explanation:

Researchers are very interested in the dependent variable. This variable is what is being tested and measured during the research in progress. In this case, it is the new energy drink.

The researchers are looking for an effect to occur while changing the independent variable of the case study. There are three main different types of variables used in research studies, they are;

IndependentDependentControl

With the athletes doing exercises after consuming the test product, they are seeing if the product does give more energy than if they hadn't of consumed the energy drink.

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sahil is putting together supply kits and has 36 packs of x pencil, 12 packs of y crayons, and 24 erasers. Write an expression to show the total number of items.

Answers

Add all the numbers together so like this 36+x+12+y+24=??? Try the rest on your own

Answer:

36x + 12y + 24 = T

Step-by-step explanation:

If Sahil has 36 packs of x pencils, then x would equal the number of pencils in each pack. Same thing goes for y. 12 packs of y pencils and y will be the number of crayons in each pack.

36(x) = Total number of pencils.

12(y) = Total number of crayons.

24 = The numbers of erasers which is given.

36x + 12y + 24 = Total numbers of items.

For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)

Answers

Answer:

Step-by-step explanation:

a vertical line has an undefined slope....(8,6).....its equation is x = 8 because no matter what y is, x will always be 8.

but u need it in standard form Ax + By = C

so it is written as : x + 0y = 8 <===

A = 1

B = 0

C = 8

Ax + By = C will be a vertical line passing through point (8,6) for values of A = 1 , B = 0 and C = 8.

What is a vertical line ?

In a coordinate plane, a line parallel to the Y-axis is called vertical Line. Any point in this line will have the same value for the x-coordinate.

We know that the x-axis has lines that run vertical then if you have a point use your x-ordinate.  

The equation of a vertical line is :

x = C

here : C is the value of the x- coordinates the line passes through.

In the given question we have to find out the values of A , B and C for which Ax + By = C be a vertical line passing through point (8,6).

Here , the coordinate of point (x , y) is (8 , 6).

So , the equation of vertical line will be x = 8.

So , if we compare it with the general form of line , Ax + By = C, then we get :

8A + By = 8

So , values of A , B and C :

A = 1, B = 0, C = 8

Therefore , Ax + By = C will be a vertical line through point (8,6) for values of A = 1 , B = 0 and C = 8.

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Show how to use unit multipliers to convert 4 hours to seconds.

Answers

Answer:

4 hours = 14400 seconds.

Step-by-step explanation:

i) In 1 hour there are 60 minutes

ii) in 1 minute there are 60 seconds

iii) therefore 1 hour = 60 minutes

                               = 60 [tex]\times[/tex] 60 seconds

                               = 3600 seconds

iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds

      therefore 4 hours = 4 [tex]\times[/tex] 3600 seconds = 14400 seconds.

This graph shows how the length of Karen's essay depends on the number of hours she spends writing this week.

​What is the constant of variation?
​Type your answer as a decimal.
pages per hour.

Answers

Answer: [tex]0.8[/tex] pages per hour.

Step-by-step explanation:

For this exercise it is important to know that, by definition, Direct variation equations have the following form:

[tex]y=kx[/tex]

Where "k" is the constant of variation.

Therefore, it is a straight line that passes through the origin.

In this case, given the graph attached in the exercise, you can follow these steps in order to find the constant of variation:

Step 1: You need to choose any point on the line. Let's choose the point (5,4).

Step 2: Now you must ubstitute the coordinates of that point into  [tex]y=kx[/tex]. Then:

[tex]4=k(5)[/tex]

Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:

[tex]k=\frac{4}{5}\\\\k=0.8[/tex]

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

A. The range for Week 1 equals the range for Week 2.
B. The range for Week 1 is greater than the range for Week 2.
C. The median for Week 1 is less than the median for Week 2.
D. The mean for Week 1 is greater than the mean for Week 2.

Answers

Answer:

The true statement is: A. The range for Week 1 equals the range for Week 2.

Step-by-step explanation:

Let's recall that the range of a data set is the difference between the largest number and the smallest number.

As we can confirm in the plot for week 1, the range is:

Range for week 1 = Largest number - smallest number

Range for week 1 = 89 - 62 = 27

In the same way, we can confirm in the plot for week 2 that the range is:

Range for week 2 = Largest number - smallest number

Range for week 2 = 89 - 62 = 27

Ranges for week 1 and 2 are equal, thus,

The true statement is: A. The range for Week 1 equals the range for Week 2.

Other Questions
The Battle of the Changjin Reservoir, which is pictured on the map, was part of what military conflict?A)Korean WarB)World War IC)World War IID)Vietnam War Find the measure of x in each figure PLZ HELP ME 4 MINS LEFT 50 POINTS AND BRAINLEIST Many machines- including inclined planes such as ramps- increase the strength of the force put into the machine but decrease the distance over which the force is applied. A ___ is a severe lack of food what decision was made regarding the exhibit? What was the important issue for many westerners in the early 1800s Assuming the quarter note equals 1 beat, how many beats are in each measure? four one two three line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M Which action was not one of the major events of World War II prior to December 1941?The United States declared war as a result of Germany's invasion of Poland.Democratic countries in Europe appeased Hitler by letting Hitler take the Sudetenland,Czechoslovakia, and Austria.Japan invaded French Indochina and threatened Thailand, the Philippines, and otherPacific nations.Japan occupied Manchuria and other parts of China.Help arm .~. Molecule 1 has the nitrogenous base sequence TCA AGT. Which set of bases in Molecule 2 can bond to that sequence in a complementary way? PLEASE HELP ASAP !!! A solution is made by adding 0.350 g Ca(OH)2(s), 45.0 mL of 1.00 M HNO3, and enough water to make a final volume of 75.0 mL. Assuming that all of the solid dissolves, what is the pH of the final solution? Present and future value tables of 1 at 9% are presented below. PV of $1 FV of $1 PVA of $1 FVAD of $1 FVA of $1 1 0.91743 1.09000 0.91743 1.0900 1.0000 2 0.84168 1.18810 1.75911 2.2781 2.0900 3 0.77218 1.29503 2.53129 3.5731 3.2781 4 0.70843 1.41158 3.23972 4.9847 4.5731 5 0.64993 1.53862 3.88965 6.5233 5.9847 6 0.59627 1.67710 4.48592 8.2004 7.5233 How much must be invested now at 9% interest to accumulate to $19,000 in two years?Multiple Choice$15,992.$11,329.$11,062.$15,725. When we see Hello Kitty on children's clothing, Disney characters on lunchboxes, and Sponge Bob Squarepants on breakfast cereals, which form of brand sponsorship is being used? Ken has 10 red marbles 12 green marbles8 blue marbles 16 yellow marbles in bag Write a method called fact that recursively calculates the factorial value of its single int parameter. The value returned by fact is a long .. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x. Which is the best approximation for the measure of angle ABC? 27.7 31.7 58.3 62.3 Craig borrowed $700,000 on October 1, 2017 and is required to pay $720,000 on March 1, 2018. What amount is the note payable recorded at on October 1, 2017 and how much interest is recognized from October 1 to December 31, 2017? A) $700,000 and S0. B) $700,000 and $12,000. C) $720,000 and SO. D) $700,000 and $20,000. The Treaty of Versailles did not meet all of Woodrow Wilson's goals.What was one example?A Germany was severely weakened economically through the payment of war reparations.B Germanys old colonies in Africa became British and French colonies.C All former colonies were given their independence by their European rulers.D The newly formed independent nations in Europe became communist regimes. A block of wood is floating in water; it is depressed slightly and then released to oscillate up and down. Assume that the top and bottom of the block are parallel planes which remain horizontal during the oscillations and that the sides of the block are vertical. Show that the period of the motion (neglecting friction) is 2 ph/g, where h is the vertical height of the part of the block under water when it is floating at rest. Hint: Recall that the buoyant force is equal to the weight of displaced water. Steam Workshop Downloader