Lisa arranges six square paintings as shown in the area of the arrangement is 225 cm² what would it cost Lisa to frame her arrangement at a cost of $.12 per centimeter

Answers

Answer 1
Final answer:

To frame Lisa's arrangement of six square paintings, the total cost would be $43.20.

Explanation:

To find the cost of framing Lisa's arrangement, we need to calculate the perimeter of the arrangement and then multiply it by the cost per centimeter. Since the arrangement consists of six square paintings, we can calculate the side length of one square by taking the square root of the total area of 225 cm². The side length of one square is 15 cm, so the perimeter of one square is 4 multiplied by 15 cm, which is 60 cm. Since there are six squares, the total perimeter of the arrangement is 6 multiplied by 60 cm, which is 360 cm. Finally, we multiply the total perimeter by the cost per centimeter of $.12 to find the total cost of framing, which is 360 cm multiplied by $0.12, equaling $43.20.

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Related Questions

Solve. 5x+10+7x=-3+13+7x+12

Answers

For this problem, we can move all the X's to one side and all the regular numbers to the other. 

7x comes over and become -7x 

10 goes over and becomes -10.

5x+7x-7x=-3-10+13+12.

-3-10=-13, which cancels out the positive 13.

-7x+7x=0 which cancels each other out. 

Now, 5x=12

Divide each side by 5.

x=2.4  <--- final answer. 
Hey there! :) 

5x + 10 + 7x = -3 + 13 + 7x + 12

Add like terms.

(5x + 7x) + 10 = (-3 + 13 + 12) + 7x

Simplify.

12x + 10 = 22 + 7x

Now, we have to isolate x. To do that, we must start out by subtracting 10 from both sides.

12x = 22 + 7x - 10

Then, subtract 7x from both sides.

12x - 7x = 22 - 10

Simplify.

5x = 12

Divide both sides by 5.

x = 12/5 OR as a decimal, x = 2.4

~Hope I helped!~

Please help (puppy eyes)

Answers

First we have to find the decimal equivalent by dividing.
5 / 8 = 0.625

It can't be an Integer because decimals can't be intergers, so that's ruled out

It can't be repeating as it does end, so that's also ruled out

Since the decimal does end it can't be non-terminating, non-repeating

So the answer is Terminating Decimal by process of elimination


Which of these is an example of a random sample?
A.
The manager of a baseball team asks his team members about their views on the previous game they played.
B.
For a survey on air travel, 100 people are chosen randomly from five different airports.
C.
Five players from a basketball team are chosen for a game.
D.
Three members of a band are chosen for a concert.

Answers

The answer is B. The other answer choices are incorrect because they include only a certain group of people so it wouldn't be as random.

Answer:

b

Step-by-step explanation:

the others are incorrect because they talk about group so its not random.

What does the phrase “took to It like a duck takes to water” mean in this sentence?

When the young woman started learning how to play the saxophone she “took to It like a duck takes to water”

A) she practiced often
B) she found It natural
C) she played for others
D) she improved gradually

Answers

The answer to this question would be B)She found it natural
Final answer:

The phrase means the young woman found it natural and quickly developed a liking for learning how to play the saxophone.

Explanation:

The phrase "took to it like a duck takes to water" means that the young woman found it natural and took a liking to learning how to play the saxophone effortlessly and quickly. It implies that she had a natural talent and aptitude for playing the instrument. This expression is often used to describe someone who picks up a new skill or activity easily and enthusiastically.

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Please help me!
How many possible outcomes are there when you roll four dice?

A. 1416
B. 1296
C. 24
D. 36

Answers

There are C. 1296 outcomes when you roll 4 dice. Hope this helps:)
Final answer:

When rolling four six-sided dice, there are 1296 possible outcomes. This is calculated by raising the number of outcomes for one die (6) to the power of the number of dice (4).

Explanation:

The subject of this question pertains to the probability in Mathematics, specifically focusing on the number of possible outcomes when rolling a die multiple times. In this case, we're looking at rolling four six-sided dice.

When you roll one die, there are indeed 6 possible outcomes, as a standard die has 6 faces. But if you roll two dice, the number of possible outcomes increases to 36 (6 outcomes for the first die times 6 outcomes for the second die).

Now in our case we are rolling four dice. Hence, the number of outcomes will be 6 to the power of 4, which means 6 * 6 * 6 * 6 = 1296. Therefore, the correct answer is B. 1296.

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Find a irrational number between 7.7 and 7.9 explain why it’s irrational

Answers

7.77777777 repeating

Irrational numbers are:

Numbers that repeat 
7.7777777 repeats the number 7 after the decimal

Numbers that CANNOT be written as a simple fraction.
7.7777777 cannot be written as a fraction in simplest form.

Answer = 7.777777777 repeating

~Aamira~

Hope this helped :)
Yeah what he said :) lol yuhhr welcome

given the equation (x-a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Answers

Final answer:

To find the values of a and b, expand the given equation and compare it with the cubic equation. The values of a and b are 2 and -10, respectively.

Explanation:

To find the values of a and b, we can expand the given equation and compare it with the cubic equation x³ + bx²+ 12x - 72 = 0. Expanding and comparing the coefficients, we get:

a = 2

b = -10

The local volleyball team hosts a concession stand to raise money. They spend $120 to purchase popcorn, candy, and drinks. They buy 95 bags of popcorn at $0.75 each and 35 bags of candy at $1.20 each. How much money does the volleyball team have left to spend on drinks?

a. $7.25 b. $15.50 c. $6.75 d. $20.25

Answers

The answer is C. $6.75.

This is found by multiplying 95 by $0.75 and adding the product ($71.25) to the product of 35 times $1.20 ($42). Then subract $113.25 (sum of $42 and $71.25) from 120 to get your final answer.

I hope this helps!

The money left to spend on drinks is $6.75.

Correct option is (C).

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. The term "arithmetic" (which comes from the Greek word "arithmos," "number") often refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

Total money spend = $120

95 bags of popcorn at $0.75 each

35 bags of candy at $1.20 each

Money spend on popcorn = 0.75 × 95 = $71.25

Money spend on candy = 1.20 × 35 = $42

Money spend on popcorn and candy = $71.25 + $42 = $113.25

Money left to spend on drinks:

= Total money - Money spend on popcorn and candy

= $120 - $113.25

= $6.75

Hence, the money left to spend on drinks is $6.75.

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How much interest is earned in four years on a deposit of 10,000 if it is allowed to accumulate in an account paying 7% interest compounded annually

Answers

Equation for one year:
0.07(10000) + 10000
But for 4 years:
4(0.07(10000)) + 10000
0.28(10000)) + 10000
We can make it simpler:
1.28(10000)
Multiply:
12800
YOU WILL HAVE $12800

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy.
The inequality that best represents this scenario is _____. A. 8.5x + 20 > 54 B. 8.5x - 20 < 54 C. 54 - 8.5x < 20 D. 54 - 8.5x > 20
The number of tubes of paint Catherine can buy is _____. A. at least 5 B. more than 4 C. less than 4 D. more than 5

Answers

The inequality that best represents this scenario is: A) 8.5x + 20 > 54
The number of tubes of paint Catherine can buy is: C) less than 4

Final answer:

The inequality representing Catherine's scenario is 8.5x + 20 < 54, and the number of tubes of paint she can buy is less than 4.

Explanation:

The inequality that best represents the scenario where Catherine has $54, plans to spend more than $20 on a painting canvas, and the rest on paint tubes that cost $8.50 each, is 8.5x + 20 < 54. This equation illustrates how much money Catherine will have left after purchasing the painting canvas for more than $20.

To determine the number of paint tubes Catherine can buy, we solve the inequality:

Subtract 20 from both sides: 8.5x < 54 - 20

Simplify the right side: 8.5x < 34

Divide both sides by 8.5 to isolate x: x < 34 / 8.5

Calculate x: x < 4

Therefore, the number of tubes of paint Catherine can buy is less than 4 (C. less than 4).

Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.
a 0.3% b 25% C 33.3% D 133.3%

Answers

I got the answer c and if I am correct then it is repeating also
280n = 210
Isolate n:
n = 0.75
1.0 - 0.75
25% decrease, option b

please help50 points and brainliest to first one to answer

Answers

762 is the answer to the first one

a jar contains blue, red, yellow, and green marbles. p(blue) = 1/4. what type of probability isillustrated and why

Answers

I believe it's theoretical probability, because there are no experiments to base the probability from.
It is an theoretical probability :)



Hope I'm right!!





Give me 5 stars and brainliest if so.


Juan added 3/5 gallon of gasoline into his car’s empty fuel tank on Sunday. He uses 1/5 gallon of gasoline on Monday to go to work. He uses 2/5 gallon of gasoline on Tuesday during a short trip. Is his fuel tank empty after he drives on Tuesday? Explain.

Answers

Juan tank is empty because if he added 3/5 of gasoline to fill up his tank, and used 1/5 of it one Monday, that would equal 2/5.On Tuesday he uses 2/5 of the gasoline such equals zero. Hope this helped :)

john surveyed a random sample of 10 students in 7th grade seven of them they would vote for tammy as class president if there are 230 students in 7th grade what is the best estimate of the students who would vote for tammy

Answers

7 out of 10 would vote for Tammy so what value (x) would vote for her out of 230. Set up a proportion comparing the two.

x= # of people who vote Tammy

7 out of 10= x out of 230
7/10= x/230
cross multiply

(7*230)= (10*x)
1610= 10x
divide both sides by 10

161= x


ANSWER: 161 people in 7th grade would vote for Tammy.

Hope this helps! :)

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

Answers

The true statement for the given information is the y coordinate is negative

The correct answer is:

d. The y-coordinate is negative.

Let's break down the problem step by step:

1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.

2. Determine the Coordinates of the Endpoints:

  - For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.

  - For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.

3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:

  [tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]

Now, let's apply these steps to find the properties of the midpoint:

1. Identify the Quadrants of the Endpoints:

  - Endpoint 1: Quadrant 2

  - Endpoint 2: Quadrant 3

2. Determine the Coordinates of the Endpoints:

  - Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate

  - Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate

3. Find the Midpoint:

  - Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.

  - Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.

Therefore, the correct answer is:

d. The y-coordinate is negative.

The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).

Complete question:

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

a. the x coordinate is negative

b. the x coordinate is positive

c. the y coordinate is positive

d. the y coordinate is negative

Figure a’b’c’d’f is a dilation or figure abcdf by a scale factor of 1/2. The dilation is centered at (-4,-1)


Which statement is true?

Answers

What are the options?

The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end?
Round all years to the nearest whole number.

Answers

Step One
How many years did the Roman Empire Last?
Abs(27) + 476 = Roman Empire.
27 + 476 = 503 years.

Note the total number of years starts in BC. To add that to the AD number of years you have to take the absolute value of the 27. Otherwise you would be subtracting and that would make the total number of  years wrong by 54 years.

Step Two
Find 5/11 of the total number of years.
(5/11) * 503 = 228.6363 Hold off on rounding.

Step Three
Find the ending date.
Starting date = 550 BC
Ending date = ???
Number of years between Start and end = 228.6363
Ending date = starting date - 228.6363 you are working towards AD
Ending date = 550 - 228.6363
Ending date = 321.4 BC
Rounded that comes to 321 BC.

Answer:321

Step-by-step explanation:

see the difference between the roman empire numbers

find 5/11 of that

see how much there already is and subtract

find the value of x.

Answers

The figure has 4 sides, so we know that the interior angles add up to 360 degrees.

Make all the angles equal 360 degrees.

x + 92 + 82 + 47 = 360
x + 221 = 360
x = 139°

need an answer as soon as possible.
asking for a friend.

Use the sequence: 1, –2, 4, –8, . . .
a. Find the common ratio in the sequence.
b. Write a rule for the sequence.
c. Find the next three terms

Answers

Part A

Answer: The common ratio is -2

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

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

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

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

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

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)

The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. Last year there were 63 inches of snow. Find the number of standard deviations from the mean that is, rounded to two decimal places

Answers

This is 2.5 standard deviations from the mean.

We find this by subtracting the mean from our value, and dividing by the standard deviation:
(63-38)/10 = 25/10 = 2.5

On the first day of the year you have $700 in your bank account you spend $35 per week your friend starts the year with 450 in his bank account he said to $15 per week solve the equation 700-35W equals 450+15 W to find out how many weeks W it will take for you and your friend to have the same amount of money in your bank account

Answers

700 - 35W = 450 + 15W
       +35W            +35W
700 = 450 + 50W
-450  -450
350 = 50W 

7 = W

It will take 7 weeks for their bank accounts to be the same. 

Put the two expressions 700-35w and 450+15w on either side of an equal sign. Solve. 
Hope this helps!

How to Factor out the coefficient of the variable 3n-24

Answers

Find the greatest common factor between 3n and 24. It's 3. 

Now divide each term by 3 inside the equation. 

3n / 3 = n
- 24 / 3 = - 8

So your new equation is 3(n - 8). 

Which equation could be used to find the length of the hypotenuse?

Answers

a^2+b^2=c^2. “c” represents the hypotenuse. “a” and “b” represent the legs of the triangle.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
A. being one of the legs
B. being another leg
C. being the hypotenuse

Ex:

[tex] {6}^{2} + {8}^{2} = {c}^{2} [/tex]
[tex]36+ 64= {c}^{2} [/tex]
[tex]100 = {c}^{2} [/tex]
[tex] \sqrt{100} = c[/tex]
[tex]10 = c[/tex]

Each side of ΔABC is 75 units in length. Point D is the foot of the altitude drawn from side A to side BC. Point E is the midpoint of segment AD. What is the length of BE

Answers

The first thing is to calculate the area of the triangle ABC using the Hero's formula. 
Area = √(s(s-a)(s-b)(s-c))
Where s is half the perimeter and a, b, and c are the lengths of the triangle.
s = 0.5(3×75) = 112.5
Since our triangle is equilateral, a=b=c
Area = √(112.5(112.5-75)³) 
        = √5,932,617.188
        = 2,435.696448 square units.
The same area can be found using the formula, 0.5(bh). Where b is the base length and h is the altitude from the base length.
In this triangle, b=75.

∴ 2,435.696448 = 0.5(75×h)

     h = 4,871.392896÷75
        =64.95190528 units

Since E is the midpoint of AD, then DE=h÷2=32.47595264 units

Now we have a right triangle BDE, where BE is the hypotenuse and BD=75/2. 

∴ BE = √((BD)²+(DE)²)
         =√(37.5²+ 32.47595264²)
         = √2,460.935815
         = 49.6078 units.
The answer is 49.6078 units.

SOlution:

Area = √(s(s-a)(s-b)(s-c)).s = 0.5(3×75) = 112.5So,Area = √(112.5(112.5-75)³)         = √5,932,617.188        = 2,435.696448 square units.
2. 2,435.696448 = 0.5(75×h)
     h = 4,871.392896÷75        =64.95190528 unitsDE=h÷2
=32.47595264 units


3. BE = √((BD)²+(DE)²)         =√(37.5²+ 32.47595264²)         = √2,460.935815         = 49.6078 units.

In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then print a sheet of graph paper and graph the quadratic function to turn in to your teacher. Be sure to label the axes and vertex.

y = -x2 - 4x - 3

hellllllllllllllp

Answers

Answer:

This was my answer, hopefully it helps!

Final answer:

To graph the quadratic function y = -x^2 - 4x - 3, find the vertex, plot additional points, and connect them with a curve.

Explanation:

To graph the quadratic function y = -x2 - 4x - 3, follow these steps:

Identify the coefficients and constant term: a = -1, b = -4, c = -3.Find the x-coordinate of the vertex using the formula x = -b/(2a):x = -(-4)/(2*(-1)) = -4/(-2) = 2Substitute the x-coordinate of the vertex into the equation to find the y-coordinate:y = -(2)2 - 4(2) - 3 = -4 - 8 - 3 = -15Plot the vertex at (2, -15) on the graph paper.Use the symmetry of the parabola to plot two additional points, equidistant from the vertex:If we move 1 unit to the right of the vertex (x = 3), we find y = -(3)2 - 4(3) - 3 = -9 - 12 - 3 = -24.If we move 1 unit to the left of the vertex (x = 1), we find y = -(1)2 - 4(1) - 3 = -1 - 4 - 3 = -8.Connect the three points with a smooth curve to complete the graph.Label x-axis, y-axis, the vertex, and any other relevant points or lines.

jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches. How long should he make the shelf to fit in the middle?

Answers

Answer: The correct answer is 17 inches.

Answer:

17 inches

Step-by-step explanation:

Given that jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches.

To make the trapezium into two halves he can draw a middle line from the mid points of the two non parallel sides.

Since base I =22 inches and base II = 12 inches we get

the middle line would be the average of the two bases

(Recall mid point theorem on triangles extended to trapeziums)

Hence we have the length required

=[tex]\frac{1}{2} (22+12)\\\\=\frac{1}{2} (34)\\=17 inches[/tex]

Shavon is going to wrap a box that is shaped like a rectangular prism. The box is 12 inches long, 8 inches wide, and 3 inches high. What is the least amount of wrapping paper that Shavon will need to completely cover the Box?

Answers

It is given in the question that , the box is 12 inches long, 8 inches wide and 3 inches high .

We have to find the least amount of wrapping paper that Shavon will need to completely cover the box .

And for that we have to use the formula of surface area, which is

[tex] Area= 2(length*width+width*height+length*height) [/tex]

Substituting the values of length, width and height, we will get

[tex] Area= 2(12*8+8*3+12*3) =2(156)=312 [/tex]

Correct option is the last option .

5/8 0.67 1.2 3/5 Greatest to least

Answers

1.2
0.67
5/8
3.5

I think this is what it would be.

6xt3x -x+9 =33 solve the equatolion

Answers

I'm pretty sure it's 3 (I did it in my head)
Other Questions
which of the following is correct? A.fred and me fixed the engine B.fred and I fixed the engine C.fred and me we fixed the engine D.fred and me did fix the engine What is the domain of the function y= 100-x^2? Why does an excise tax on gasoline exist? Check all that apply. to make gasoline prices more competitive to provide funding for healthcare services and education to discourage travel by automobile by making gasoline more expensive to fund highway repairs and other special projects to discourage the use of alternative modes of transportation What is the approximate number of marriages that fail per year in the united states?a. more than 2 millionb. more than 50 millionc. more than 200,000d. more than 1 million Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches? "dmv does not have an outstanding insurance transaction for this vehicle." why is it necessary to speed up the development of a country? Which of the following statements is true? If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are proportional. If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent. If two polygons are similar, then the corresponding sides are congruent and the corresponding angles are proportional. None of the choices are correct. write the ratio 41 to 100 as a percent A translation is applied to the rectangle formed by the points A(2, 6) , B(2, 6) , C(2, 4) , and D(2, 4) . The image is the rectangle that has vertices A(1, 6) , B(5, 6) , C(5, 4) and D(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated . Zheng He, Vasco da Gama, Ferdinand Magellan, and Christopher Columbus are representative of this era: ____________ is the first step in the basic structure of a persuasive speech. ________ is a collaboration tool that supports remote (different place), synchronous (same time) collaboration.a.video conferencing Along with R&B music, rock and roll was historically patterned after ____.A) SwingB) BebopC) Country-WesternD) Ragtime In 1868 what was the most important reason to include the equal protection clause in the fourteenth amendment? Hey can you please help me posted picture of question HELPGiven right triangle ABC. In the given right triangle, find the length of the hypotenuse, AB, if BC = 6 and AC = 5. A.5B.36C.61D.11 I only have 10 points, so.. Sorry. 1. The colors of an opaque object are the result of:refracted lightreflected lightthe light transmitted2. Sounds which we hear are the result of vibrationsTrueFalse3. In the English system, force is measured as:ft.lbs.ft.-lbs.ft.-lbs./sec.4. A force of 2,500 pounds drags a truck 30 feet in 1/2 minute.How much work is accomplished?How much power was required?Work = 75,000 ft-lbs, Power = 32, 5000 ft-lbs/secWork = 7,500 ft-lbs, Power = 250 ft-lbs/secWork= 75,000 ft-lbs, Power = 2,500 ft-lbs/sec5. The resistance which opposes the motion of moving parts is called ___inertiafrictiongravity6. The "work principle" for real machines can be defined as, "The work accomplished by a machine will always be less than the work needed to operate the machine."TrueFalse7. Mass and weight are essentially the same.TrueFalse8. A single chemical which will not divide into any other simpler substance is:an elementa compounda molecule9. What is "atomic number"?a place in the Periodic Tablethe number of atoms in a moleculethe number of protons in an atomthe number of units of atomic weight10. The atomic weight of an atom is?equal to the number of protonsequal to the number of neutronsapproximately the number of neutrons plus protonsan actual (real) weight of the atoma relative weight What differimg views did the the us and the soviet union have cincerning grrmany after world war 2? PLEASE HELP!!!!!!!!!!How do regional trade blocs help grow global trade?by fighting against poverty by lowering trade barriersby preserving high tariffs by limiting exchange of goods