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Shalnov [3]
2 years ago
8

The radius r in feet of a spherical water tank can be determined by using the formula

Mathematics
1 answer:
ycow [4]2 years ago
3 0
R equals pi r squared
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What number should be added to 7/12 to get 4/15?​
DENIUS [597]

Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

\frac{7}{12}  + x = \frac{4}{15}

Subtract 7/12 from both sides.

x = \frac{4}{15}  - \frac{7}{12}

We need to make the denominators of the fractions the same.

\frac{4}{15}  = \frac{16}{60}

\frac{7}{12}  = \frac{35}{60}

So,

x = \frac{16}{60}  - \frac{35}{60}  = -  \frac{19}{60}

6 0
3 years ago
After a glide reflection, the point x is mapped to the point x' (3,-2). The translation part of the glide reflection is (x,y) -&
Umnica [9.8K]

The coordinates of the original point <em>x</em>, can be obtained by reversing the given transformations individually

The coordinates of the original point <em>x</em> is \underline{(0, \, 0)}

Reason:

The type of reflection = Glide reflection

Coordinates of the image of the point <em>x</em> = x'(3, -2)

The translation part of the glide reflection is (x, y) → (x + 3, y)

The line of reflection is y = -1

The coordinates of the original point = Required

Solution:

  • A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection

Reflection part;

The distance of the image point from the reflecting line = The object's

point distance from the reflecting line

Therefore, given that the reflecting line is the line y = -1, and the image

point is x'(3, -2), we have;

Distance of image from reflecting line =-1 - (-2) = 1

∴ Distance of object point from reflecting line = 1

y-coordinate of object point = -1 + 1 = 0

Point of image of the object before reflection and after translation = (3, 0)

Translation part;

The translation of the glide reflection is (x, y) → (x + 3, y)

Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;

((3) - 3, 0) → (0, 0)

The coordinates of the original point <em>x</em> is \underline{(0, \, 0)}

Learn more here:

brainly.com/question/12890981

8 0
2 years ago
James estimated the total cost of groceries to be $50. The actual cost is$65. What is the percent error. Round to nearest whole
vampirchik [111]

Answer:

Step-by-step explanation:

15%

8 0
3 years ago
Charles has been assigned several chores around the house he washed the supper dishes every fifth day, he takes out the trash ev
ch4aika [34]
This question is about the GREATEST COMMON FACTOR. 

Supper Dishes: 5      10         15         20       25           30          35 

Trash: 1        3           5          7             9          11      13            15         17         19      21       23       25          27           29           31        33         35

Vacuums the House: 7         14          21         28         35            42

He will have to do all three chores on the same day every 35 day.



5 0
3 years ago
The population of a country grows exponentially at a rate of 1% per year. If the population was 35.7 million in the year 2010, t
Lady_Fox [76]

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

7 0
3 years ago
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