Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Answer:

21 + 3x

Step-by-step explanation:

3(7 + x) ← multiply each term in the parenthesis by 3

= 21 + 3x

======================================================

Explanation:

Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).

To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).

In general the rule is [tex](x,y) \to (x,-y)[/tex]

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

Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].

For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.

As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.

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

Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).

We're given the point (g,h) where we don't know g nor h.

The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.

Then applying transformation W has us get to (-h, -g) as the final answer.

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

As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.

The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.

However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

Substitute the diameter to obtain the radius of the rug.

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Answer:

60 cm²

Step-by-step explanation:

area of trapezium = 1/2(a + b) × h

= 1/2(6+14) × 6

= 20/2 × 6 = 10 × 6

= 60 cm²

Answer:

The answer is 86000

Step-by-step explanation:

This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2)  to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

Answer:

284*20

Step-by-step explanation:

since there are 284 boxes of each 20 books, 1box = 20 books then 284 boxes = (284*20) books

If factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.

Two or more expressions with an Equal sign is called as Equation.

Given that a factor delivered 284 boxes of books to stores.

There are 20 books in each box.

We have to find the number of books the factor deliver

To find this we have to multiply the number of boxes with the number of books in a box

Number of books deliver = 284×20

Two hundred eighty four times of twenty

Number of books deliver =5680

Hence, if factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.

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Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

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Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

Please rate and mark brainliest!!

Hey Buddy !

For the following right triangle , find the side length x .

We have to find the value of x .

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

Substituting the values in formula :

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

The correct answer is: (3x + 1)(3x - 1)(x + 4)

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

Answer: 15

Step-by-step explanation:

Answer:

16.5%

Step-by-step explanation:

The percentage increase in their spending on advertising will be 16.5%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Last year an organization spent a sum of £2400 on publicizing. This year they burned through £2796.

Then the percentage increase in their spending on advertising will be given as,

P = [(2796 - 2400) / (2400)] x 100

P = (396 / 2400) x 100

P = 0.165 x 100

P = 16.5%

The percentage increase in their spending on advertising will be 16.5%.

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Answer:

I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone

Answer:

42miles per gallon

Step-by-step explanation:

since total gallons of fuel used is 11 gallons to travel 462miles,

per gallon will be 462/11 =42miles per gallon

Answer:

Blue-y=1/2-1

Red-x=-3

Step-by-step explanation:

Answer:

6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18

Step-by-step explanation:

No this is not correct identity

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

When opening the parenthesis, we get;

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

This can be rewritten as;

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

Answer:

sine

.....................

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

If you want to learn more about functions, you can read:

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Answer:

7

Step-by-step explanation:

Accurate information

The function b(t)= 4.891(1.331)^t is an exponential function

The function is given as:

b(t)= 4.891(1.331)^t.

2000 is 4 years from 1996.

This means that t = 4

So, we have:

b(4)= 4.891(1.331)^4

Evaluate

b(4)= 15.35

So, the percentage of executives in 2000 is 15.35

2001 is 5 years from 1996.

This means that t = 5

So, we have:

b(5)= 4.891(1.331)^5

Evaluate

b(5)= 20.43

Hence, the percentage of executives in 2001 is 20.43

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Answer:

Either 74° and 32°

or 53° and 53°

Step-by-step explanation:

An isosceles triangle has at least two congruent angles.

There are two possibilities in this problem.

1)

The 74° angle is one of the two congruent angles.

Then, one other angle measures also 74°.

The third angle measures 180° - 74° - 74° = 32°

2)

The 74° is not one of the two congruent angles.

Then the other two angles are congruent.

180° - 74° = 106°

The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.

Answer:

Either 74° and 32°

or 53° and 53°

Answer:

71 cents

Step-by-step explanation:

Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Area of the shaded region:

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

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

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!