How would you simplify 11/66 and 12/24?

Answers

Answer 1

Answer: Well, think about if the first number can go into the second number or not.

11 can go into 66 6x, so the answer would be 1/6.

12 can go into 24 2x, so the answer would be 1/2.

Thanks for the opportunity to answer your question and I hope I helped. :)

Answer 2

Answer: for the first one you would divide the top and bottom number both by 11 and get 1/6. for the secong one you would divide the top and nottom number both by 12 and you would get 1/2

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A 14 foot ladder is used to scale a 13 foot wall.At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Answers

The angle of elevation must be 68.202 degrees

Solution:

Given that, 14 foot ladder is used to scale a 13 foot wall

We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall

The figure for this solution is attached below

The ladder, wall and the ground forms a right angled triangle

ABC is a right angled triangle

AB is the height of wall = 13 feet

AC is the length of ladder = 14 feet

We have to find the angle of elevation

Let the angle of elevation be "x"

For right angled triangle ABC, We can use the definition for sine

$\sin x=\frac{\text { opposite }}{\text { hypotenuse }}$

Here, in figure, opposite = AB and hypotenuse = AC

$\sin x=(A B)/(A C)\n\n\sin x = (13)/(14)\n\n\sin x = 0.9285\n\nx = sin^(-1)(0.9285)\n\nx = 68.202$

Thus the angle of elevation must be 68.202 degrees

The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.

What is a right triangle?

A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.

Therefore, the angle of elevation can be calculated as follows;

The length of the ladder is the hypotenuse.

The opposite side is the height of the wall.

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 13 / 14

∅ = sin⁻¹ 0.92857142857

∅ = 68.2129901712

∅ = 68°

learn more on right triangle here: brainly.com/question/22479729

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Which of the following statements is true regading circle graphs?Choose the correct answer below .

A. Each sector of a circle graph shows a category and the relative size of the category .
B. A circle graph can only be used for categories where the data adds up to 360.
C. Each sector of a circle graph that is the same size must be the same color .
D. The percents in each circle graph add up to 360 .

Answers

A. Each sector of a circle graph shows a category and the relative size of the category .

My Prime factors are 2,3, and 5, and I am a number between 58 and 68. What number am I?

Answers

The number should be 65.

Given that,

The prime factors are 2,3, and 5.
And, the number between 58, and 68.
We have to find out that number.

Based on the above information,

The number should be 60 and 65.
But the 60 should be divisible by 2,3 but the 65 is not divisible by 2 and 3.

Therefore we can conclude that the number should be 65.

Learn more: brainly.com/question/17429689

Well, because the number has to be a multiple of 5, it must be either 60 or 65. Then, you see that only 60 fits the description because it is divisible by both 2 and 3 while 65 is divisible evenly by neither

Is 4.498 greater than, or less than 315.71 ??

Answers

4.498 is less than 315.71. Imagine having 4 candies or 315 candies. 315 candies is a while lot greater than 4 candies.

it is less than it goes like this 4.498 < 315.71
Hope it right....!!!!!!

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 40 books. A total of 13 boxes were sent which can hold 360 books altogether. Graphically solve a system of equations in order to determine the number of small boxes sent, x,x, and the number of large boxes sent, yy.Click twice to plot each line. Click a line to delete it.

Answers

Answer:

The Answer is: There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).

Step-by-step explanation:

Let xx = small boxes and yy = large boxes:

xx + yy = 13

xx = 13 - yy

The number of small boxes times 20, plus the number of large boxes times 40 is equal to 360:

20xx + 40yy = 360

Substitute the algebraic value of xx, so we only have one variable to consider and solve for yy:

20(13 - yy) + 40yy = 360

260 - 20yy + 40yy = 360

260 + 20yy = 360

20yy = 100

yy = 100 / 20 = 5 large boxes.

Solve for xx:

xx = 13 - yy

xx = 13 - 5 = 8 small boxes.

There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).

Proof:

20xx + 40yy = 360

20(8) + 40(5) = 360

160 + 200 = 360

360 = 360

Final answer:

To solve the problem graphically, set up a system of equations: x + y = 13 and 20x + 40y = 360. Graph the equations to find the intersection point which represents the solution.

Explanation:

To solve this problem graphically, we can set up a system of equations based on the given information. Let's denote the number of small boxes as x and the number of large boxes as y. From the given information, we can write the following equations:

x + y = 13 (equation 1, representing the total number of boxes)

20x + 40y = 360 (equation 2, representing the total number of books)

To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of small boxes (x) and the y-axis represents the number of large boxes (y). The intersection point of these two lines will represent the solution to the system of equations, giving us the values of x and y (the number of small and large boxes sent, respectively).

Learn more about Graphical solution of a system of equations here:

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There are 30 students in Mrs.Woodward’s class, and 1/2 of the class has their own cellphone.Of this group of students, 1/3 of them are allowed to use social media. How many of the students have a cellphone and can use social media?

Answers

Answer:7

Step-by-step explanation:

7,because 30-1/2=7

Half of 30 students would be 15 (30 / 2 = 15)

One third of 15 is 5 (15 / 3 = 5)

15 students have cellphones, 5 of them are allowed to use social media.

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