Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Answer:

all rational numbers are intergers

Step-by-step explanation:

Answer:

sum = (180)(20) = 3600

Step-by-step explanation:

First...

(n-2)180˚ = Sum Of Interior Angles or SOIA

So...

(22-2)180 = SOIA

Then...

20*180 = SOIA

Finally...

3600 = SOIA

Answer:

3774

Step-by-step explanation:

Answer:

-5x⁹ y⁵

Step-by-step explanation:

x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵

Answer:  x5y2(5x4y3) =5x9y5

Step-by-step explanation:

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

Answer:

The height increases as the ferris wheel goes up.

Step-by-step explanation:

Answer:

The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown

Step-by-step explanation:

Answer:

6.4 m

Step-by-step explanation:

The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.

Note that the woman used the rope to move down in

Applying the cosine rule;

[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]

[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]

[tex]c^{2} = 6.4 m[/tex]

Answer:

189 spores

Step-by-step explanation:

The number of mold spores triple every 6 weeks. So in 12 weeks, it has tripled twice.

Given that:

M = I x [tex]3^{n}[/tex]

where M is the number of mold spore, I is the initial amount of spores, and n is the number of times the amount of mold spores has tripled.

Since, I = 21 and n = 2, we have;

M = 21 x [tex]3^{2}[/tex]

   = 21 x 9

   = 189

There would be 189 spores in the garden today.

Answer:

B

Step-by-step explanation:

Hope this helps  :)

If so mark brainliest

Answer:

neither

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

If these are

Parallel, slope of both the lines is same.

Perpendicular, if they are -ve reciprocal of each other.

In y = mx + c, slope is m.

Compare,

Slope of y=4x+1, is 4.

of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.

So it is neither ll nor perpendicular.

Answer:

4 1/6

Step-by-step explanation:

2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6

Answer:

X=7

Hope this helps, and have a Great Day. You got this!!!

Step-by-step explanation:

Answer: x=49

x-17=32

Subtract 17 from both sides.

x=32+17

x=49

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]

Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]

Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]

Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]

Town C had the greatest average change in population over time (800/yr).

Answer:

its c

Step-by-step explanation:

Answer:

Sarah downloaded 65 songs.

Answer:

it's 3xy^5 + 5x^2 -2x +6

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.

Answer:

[tex]2000 \: and \: 9.[/tex]

[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]

Let's consider a much smaller value and work our way up to the factorial 2009!

Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.

The only solution to a+b = 2 is a = b = 1 as mentioned.

----------

Now move onto a+b = 3. We have two solutions:

a = 1, b = 2

a = 2, b = 1

-----------

Now move onto a+b = 4. We have three solutions

a = 1, b = 3

a = 2, b = 2

a = 3, b = 1

Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.

So 'a' counts up to 3, while b counts down from 3.

We cannot reach 4 since 0 is not allowed for a or b.

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

The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so

a = 1, b = k-1

a = 2, b = k-2

a = 3, b = k-3

....

a = k-3, b = 3

a = k-2, b = 2

a = k-1, b = 1

Where k > 2

Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.

This confirms there are k-1 solutions listed above.

The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions

Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!

Answer:

It's 4

Step-by-step explanation:

Answer:

The answer is C which is 4

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

Answer: There are 9 more oranges than bananas because there are 6 apples, 12 oranges, and 3 bananas. (12-3=9)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given;

6x + 13 = 9x - 8

Shift "6x" to right side and "-8" to left side and simplify it to get answer.

13+8 = 9x-6x

21 = 3x

x= 21/3

Therefore, x= 7.

Hope it helps...

Answer:

a

   [tex]P(X <  24 )=  21.186\%  [/tex]  

b

    [tex]x =  19.78 \  months[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is   [tex]\mu  =  26 \  months[/tex]

 The standard deviation is  [tex]\sigma  =  4 \  months[/tex]

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      [tex]P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )[/tex]

     [tex]P(X <  24 )=  P(Z <  -0.8  )[/tex]

Generally from the z-table  

       [tex]P(Z <  -0.8) =  0.21186[/tex]

So

       [tex]P(X <  24 )=  0.21186[/tex]

Converting to percentage

      [tex]P(X <  24 )=  0.21186  * 100[/tex]

=>    [tex]P(X <  24 )=  21.186\%  [/tex]  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    [tex]P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06[/tex]

=> [tex]P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06[/tex]

From the normal distribution table the z-score for  0.06 at the lower tail  is

       [tex]z = -1.555[/tex]

So

    [tex]\frac{x - 26}{4} = -1.555[/tex]

=> [tex]x =  19.78 \  months[/tex]  

Answer:

the answer is in the link

Step-by-step explanation:

https

      bxaha zshkkkvxxxkvvvvwuqgceuuuegieg   DONT KNO

Answer:

x = 49/4

Step-by-step explanation:

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes