a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.

Answer:

12^2

Step-by-step explanation:

the pemas first you do the "(" and then what ever 12^2 is. i got the same question on mine and i got it correct. if this is correct write brainiest.

Step-by-step explanation:

see pictures above or below

[tex]\bold{\huge{\underline{ Solution \:1}}}[/tex]

If we look at the both the triangles then the

From above, we can conclude that :-

Both the triangles are similar by AA Similarity

Hence, Option A is correct.

[tex]\bold{\huge{\underline{ Solution \:2}}}[/tex]

Let consider the given triangle be ABC and the line that divides the triangle consider it as DE

So,

We have to find the value of x

In ΔABC, By using BPT theorem

That is,

[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{DE}{BC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 6 }{ 6 + 4 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 6 }{ 10 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 3 }{ 5 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]{\sf{ x = 8{\times} }}{\sf{\dfrac{5}{3}}}[/tex]

[tex]{\sf{ x = }}{\sf{\dfrac{40}{3}}}[/tex]

[tex]{\sf{ x = 13}}{\sf{\dfrac{1}{3}}}[/tex]

Hence, Option C is correct

[tex]\bold{\huge{\underline{ Solution \:3}}}[/tex]

Here,

For x,

By using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{BC}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{6}{2}}}[/tex]

[tex]\sf{ x = 3 }[/tex]

Thus, The value of x is 3

For y

Again by using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{AC}{RT}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{ y = 5{\times}2 }[/tex]

[tex]\sf{ y = 10 }[/tex]

Thus, The value of y is 10

Hence, Option A is correct.

9514 1404 393

Answer:

  9.  vertex: (1, -2)

  10.  dashed line, shaded inside, opens down, (neither point is a solution)

Step-by-step explanation:

The graph is attached. Either the graph or the equation will tell you the vertex is (1, -2). Since the leading coefficient is negative, the parabola opens downward. Since the comparison is "y < ( )", shading is below the boundary line, so shading is inside the parabola.

The point (0, 0) is outside the parabola, so is not a solution. The point (2, -3) is on the (dashed) boundary line, so is not a solution. (The boundary line is dashed because points on it are not part of the solution set.)

__

The inequality is written in vertex form:

  y < a(x -h)^2 +k . . . . . . . . has vertex (h, k)

The value of h in your inequality is 1, and the value of k is -2, so the vertex is (1, -2) as read from the inequality itself. (No graphing needed.)

Answer:

a

Step-by-step explanation:

Answer:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Step-by-step explanation:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Have an amazing day!!!

PLEASE RATE!!

Hello.

Please remember that equivalent means equal.

So we need to find 4 fractions that are equal to

[tex]\displaystyle\frac{4}{7}[/tex]

There are infinitely many fractions equal to the given fraction; we need just 4 of them.

First, let's multiply the numerator (4) and the denominator (7) times 2:

[tex]\displaystyle\frac{8}{14}[/tex]

Now, let's multiply the numerator and denominator of this fraction by 2:

[tex]\displaystyle\frac{16}{28}[/tex]

Multiply by 2 once more:

[tex]\displaystyle\frac{32}{56}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

  (0, -4)

Step-by-step explanation:

The y-intercept is the point on the line where it crosses the y-axis. That point has x-coordinate equal to zero. To find the y-intercept, set x=0 in the equation and solve for y:

  3y = -12

  y = -12/3 = -4

The y-intercept is -4. The point coordinates are (0, -4).

__

Additional comment

You may notice that in the standard form equation, ...

  ax +by = c

The x-intercept is c/a, and the y-intercept is c/b.

Answer:

The number you're looking for is 18.

Step-by-step explanation:

18/2=9

9 + 15 = 24

Therefore you get 18

Answer:

Distributive

Answer:

Do u have any more information?

Step-by-step explanation:

Answer:

42º

Step-by-step explanation:

The angle on a straight line is always equal to 180º.

So here we know that angles AEB, BEC and CED add up to 180º. Now we simply have to rearrange to find angles AEB, seeing as we know all the others.

180 - (BEC + CED) = AEB

180 - (48º + 90º)

= 180 - 138º

= 42º

Let's say each row sums to 15

If we had 3 rows, then the total sum would be 3*15 = 45

If we added all of the values in the 3x3 magic square, then we'd get 45 as well.

This is one example showing that

sum of all values = (number of rows)*(magic constant)

You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.

Answer:

(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23       Step-by-step explanation:  if you do 8x1=8 5x3=15  

8+15=23

The number of days Christen's book is overdue could be 22 according to options given.

The graph which represents the relationship between the number of days a book is overdue and the library fine charged is attached below :

According to the graph, a constant relationship exists between the number of days a book is overdue and the library fine charged when the Number of days book is  overdue is about 19 days and above such that the library fine charged stays the same at $10.

Since we are told that Christen's fine for returning the book is the same as the fine she would have paid if book was returned yesterday, then, the number of days Christen's book is overdue could be 20 days and above.

The only value above 20 from the options given is 22.

Hence, 22 is the valid answer.

Answer The correct answer is d.) 22

Step-by-step explanation:  

I got the answer right on the Edge quiz. Trust me!

Answer:

x= 13 degrees

Step-by-step explanation:

This is a 90 degree angle. We can create an equation to find x

68+x+9= 90

77+x= 90

-77     -77

x= 13 degrees

Hope this helps!

Answer:

x = 13

Step-by-step explanation:

The given angles are,

→ 68°

→ (x + 9)°

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 68° + (x + 9)° = 90°

Then the value of x will be,

→ 68° + (x + 9)° = 90°

→ 68° + x + 9° = 90°

→ (68 + 9)° + x = 90°

→ 77° + x = 90°

→ x = 90° - 77°

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

  4

Step-by-step explanation:

The proportional relationship can be described by the equation ...

  [tex]f=\dfrac{k}{\sqrt{g}}[/tex]

We can fill in the given values to find k:

  15 = k/√144 = k/12

  15·12 = k = 180 . . . . . . multiply by 12

Then for f = 90, we have ...

  90 = 180/√g

  1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides

  g = 2² = 4 . . . . the value of g when f=90

Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

Answer:

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Step-by-step explanation:

Answer:

1 First blank; f(1.5)=95    2 Blank; 1.5    3 Blank; 95

Step-by-step explanation:

you use the equation f(x)=50x+20 and put 1.5 in

f(1.5)=50(1.5)+20   =    f(1.5)=95

you get 95, and that is the number of miles

1.5 is number of hours

Answer:

26 children

Step-by-step explanation:

346-8*40

346-320

26

Answer:

30,000

Step-by-step explanation:

26,490 becomes 30,000

Answer:

Step-by-step explanation:

From the information given:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

The function representing the numbers of homes in  Neighbourhood A and B are as follows:

For neighbourhood A: f(x) = [tex]\mathbf{30 \times (1.2)^x}[/tex]

For neighbourhood B: f(x) =  45 + 3x

B.

After five years;

Neighbourhood A has = [tex]\mathbf{30 \times (1.2)^x}[/tex]

Neighbourhood A  = [tex]\mathbf{30 \times (1.2)^5}[/tex]

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

i.e.

[tex]\mathbf{30 \times (1.2)^x= 45 + 3x}[/tex]

[tex]\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}[/tex]

[tex]\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}[/tex]

x = 3.3

Thus, after 3.3 years, the number of homes will be the same.

Answer:

m=8

Step-by-step explanation:

4hours after time?

Hour. will be changed only

The time in 24hr format is 14:17 and in 12 hr format it's 2:17

Answer:

[tex]\huge\boxed{\bf\:14:17}[/tex]

Step-by-step explanation:

Given information,

Since the question doesn't provide whether [tex]10:17[/tex] is in Post Meridiem(P.M) or Ante Meridiem (A.M), we'll be using the 24-hour clock format.

In the 24-hour clock format, the clock goes from 12:01 to 23:59 each day. Each full rotation of the clock from this period shows that a day has passed by.

In the above case, if Maria starts her work by [tex]10:17[/tex], then,

Time Maria finishes her work by

[tex]=\sf\: 10:17 + (4 \: one-hour \:clock \: rotations)\\= \sf\:10:17 \rightarrow (11:17\rightarrow12:17\rightarrow13:17\rightarrow14:17)\\= \boxed{\bf\:14:17}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

Answer:

237+496= 733

600-321= 279

993-294= 699

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

Answer:

More than 30 items

Step-by-step explanation:

C(x)=300x+6,000

First, find c(x), the average cost function.

c(x)c(x)=C(x)x=300x+6,000x

The average cost function is shown below.

c(x)=300x+6,000x

We want the function c(x) to be less than 500.

c(x)<500

Substitute the rational expression for c(x).

300x+6,000x<500x≠0

Subtract 500 to get 0 on the right.

300x+,6000x−500<0

Find the LCD, and rewrite the left side as one quotient.

300x+6,000x−500xx−200x+6,000x<0<0

Factor the numerator to show all factors.

−200(x−30)x<0

Find the critical points when the numerator or denominator are equal to 0.

−200(x−30)−200≠0x−30x=0x=0=0=30

More than 30 items must be produced to keep the average cost below $500 per item.

Answer:

29.92 m²

Step-by-step explanation:

Area of the rectangle = 5.5 * 4 = 22 m²

Radius of the circle = 5.5 m

Area of the sector of the circle = π*(5.5)² * 30/360 = 7.92 m²

Total area = 22 + 7.92 = 29.92 m²

Answer:

$36

Step-by-step explanation:

27 x 2/1.50 = 36