1. What is the constant rate of change of the table below?
Seconds
10
20
30
40
Meters
40
80
120
160
A. 2 meters per second
B. 4 meters per second
C. 8 meters per second
D. 10 meters per second

Answer:

A

Step-by-step explanation:

law of sine

c/sin(C) = b/sin(B) = a/sin(A)

with the sides and corresponding angles being always opposite.

sin(90) = 1

sin(30) = 0.5

c, the Hypotenuse, is the longest side in such a right-angled triangle.

c/1 = b/0.5

b = c×0.5 = c/2

so, one side has to be half the length of the longest side (Hypotenuse).

the only answer meeting that criteria is A.

the longest side is 10×sqrt(3) = 17.32...

the side half of that is 5×sqrt(3).

and Pythagoras for such a triangle is then

c² = (c/2)² + a²

c² = c²/4 + a²

so, a² = 3c²/4

c² = c²/4 + 3c²/4

therefore we can check also the third side

15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²

correct.

A is such a triangle.

Step-by-step explanation:

Step 1: 5x - 3 + 3 = 12 + 3

Step two: 5x = 15

Step three: 5x/5 = 15/5

Step four: x = 3

Answer:

step one- 5x-3+3=12+3

step two- 5x=15

step three- 5x/5=15/5

step four- x=3

Answer:

Step-by-step explanation:

24x + 6y = 144.

18x + 3y = 90.

Divide the (24x + 6y = 144) by 3.

8x + 3y = 48.

18x + 3y = 90.

Cancel the 3y.

8-18x = -10x.

48-90 = -42.

-10x = -42.

x = 4.2

8(4.2) + 3y = 48.

33.6 + 3y = 48.

Cancel out the whole number.

3y = 14.4

y = 4.2

The cost of a flower is $3 and a bush is $12.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

Tiana placed two orders for flowers and bushes.

The first order was for 24 flowers and 6 bushes.

The total cost of the first order was $144.

The second order was for 18 flowers and 3 bushes.

The total cost of the second order was $90.

Let x be the number of flowers and y be the number of bushes.

So, we have a system of equations,

24x + 6y = 144

18x + 3y = 90

Simplifying,

4x + y = 24

6x + y = 30

Subtracting the equations,

we get,

2x = 6

x = 3, and y = 12

Therefore, the solution is x = 3, and y = 12.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ2

Answer:

○ [tex]\displaystyle \textcolor{black}{D.}\:x = -100[/tex]

Explanation:

All you need to do is perfourm the the inverce of division [multiplication] to arrive at the result:

[tex]\displaystyle -100 = 5[-20][/tex]

I am joyous to assist you at any time.

Answer:

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

An identity is an equation that, regardless of the values used, is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

An identity is an equation that, regardless of the values used, is always true.

For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.

For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

The rule is "Subtract 9"

n = 11

Step-by-step explanation:

To find the rule you have to find what's common with all of them. This requires a little bit of testing.

THINK

Do I divide by 10? No because it doesn't work for all of them.

Do I divide by 4? No because it doesn't work for all of them.

Do I subtract by 9? Yes because it works for all of them.

Rules can be a lot of things. Subtraction, multipilcation, division, addition, or with variables.

Answer:

See below.

Step-by-step explanation:

∠G = 80°

TY = 15

∠G = ∠T (similar triangles)

OY : UN = 3: 4

TY : GN = x : 20 = 3 : 4

⇒ x/20 = 3/4

⇒ x = 15

Answer:

(0, 13)

Step-by-step explanation:

y=mx+b is representative where m is the slope and b is the y intercept. The b here is 13. On the graph, on the line where it crosses the y axis, the coordinates would be (0, 13).

Answer:NOT C

Step-by-step explanation:

Answer:

320,145

Step-by-step explanation:

Anything under 5 goes down and anything above 5 goes up.

Answer:

300,000

Step-by-step explanation:

Given the following question:

[tex]324145[/tex]

To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.

[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]

Rounded to the nearest hundred thousand "300,000" is your answer.

Hope this helps.

Answer:

5mph

Step-by-step explanation:

5mph

Answer:

It is 11 times greater

Step-by-step explanation:

Answer:

1800 greater than the 2 in 1,234

Step-by-step explanation:

Answer:

6x-21+5 = -19           Distribute

6x-16 = -19               Combine like terms

6x = -3                       Add

x = -1/2                    Division

Answer: x=-1/2 in decimal form -0.500

Step-by-step explanation:  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(2*x-7)+5-(-19)=0

3 • (2x - 7) +  5) -  -19  = 0

Pull out like factors :

  6x + 3  =   3 • (2x + 1)

Solve  :    2x+1 = 0  

Subtract  1  from both sides of the equation :  

                     2x = -1

Divide both sides of the equation by 2:

                    x = -1/2 = -0.500

Answer:1m-7<0

Step-by-step explanation:

4m-3m-3-4

1m-7<0

The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.

We have,

To solve the inequality 4m - 3(m + 1) - 4 < 0, we can follow these steps:

Simplify the expression inside the parentheses:

4m - 3(m + 1) - 4 = 4m - 3m - 3 - 4 = m - 7.

Rewrite the inequality:

m - 7 < 0.

Add 7 to both sides of the inequality to isolate the variable:

m - 7 + 7 < 0 + 7,

m < 7.

Therefore,

The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ6

Answer:

A,b,c,n

Step-by-step explanation:

Answer:

each child will get 2 1/3 quarts of juice each

Step-by-step explanation:

Question 7

Total amount of juice = 1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3 = 56/3

Number of children = 8

If the juice was shared equally:  56/3 ÷ 8 = 7/3 = 2 1/3 each

Therefore, each child will get 2 1/3 quarts of juice each

Answer:

11

Step-by-step explanation:

AB = AC-BC

2X +7 -7

OR 5X-9 = X+7

OR X =4

HENCE AB = 5X -9 = 20-9=11

Answer:

His speed is 66.25 miles/hour

Step-by-step explanation:

The rule of the constant speed is:

Speed = Distance ÷ Time

∵ Karim starts his journey at 11:00 a.m. and finishes at 3:00 p.m.

→ Count the hours from 11: 00 a.m. to 3:00 p.m.

∴ He takes 4 hours ⇒ (3 + 12 - 11)

∴ T = 4 hours

∵ The mileage reader is 66,750 miles at 11:00 a.m.

∵ The mileage reader is 67,015 miles at 3:00 p.m.

→ The distance that Karim is driving = the difference between them

∴ The distance that karim is driving = 67,015 - 66,750

∴ D = 265 miles

→ Substitute the values of D and T in the rule above

∵ S = 265 ÷ 4

∴ S = 66.25 miles/hour

∴ His speed is 66.25 miles/hour

Answer:

5.38

Step-by-step explanation:

Answer: 71.6°< F< 86°

Step-by-step explanation:

Let  C=  temperature in tropical rain forest (in  Celsius)

Given: In a tropical rain forest, the temperature ranges from 22° C to 30° C.

The compound inequality that represents the possible temperatures of a tropical rain forest.

22° < C < 30°

Since, [tex]\dfrac95C=F-32\Rightarrow\ F=\dfrac95C+32[/tex]

Also, At C= 22 , [tex]F= \dfrac95(22)+32=71.6[/tex]

At C= 30 , [tex]F= \dfrac95(30)+32=86[/tex]

Hence, the compound inequality that represents the possible temperatures (in degrees Fahrenheit) of a tropical rain forest.

71.6°< F< 86°

Answer:

71.6 <= T =<86

Step-by-step explanation:  

celsius= 22 a.k.a Fahrenheit= 71.6

celsius= 30 a.k.a Fahrenheit= 86

so the degree ranges from 71.6 or more to 86 or less so

Use T for tempature this is an and problem so you write it like this

71.6 <= T =<86

in english this is saying that T ( tempature ) is more or equal to 71.6 and is less or equal to 86.

Answer:

7^2 +7^2=  c^2. c will be your hypotenuse  

Step-by-step explanation:

Answer:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

Step-by-step explanation:

Given

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

[tex]Day\ 3 = 16237[/tex]

Required

Order from least to greatest

Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

16327, 16390 and 16550.

So, we have:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

Answer:

$1800

Step-by-step explanation:

John's portion can be represented as 2x and Kim's portion can be represented as 6x as this will still be in a ratio of 2:6.  The total of 2x and 6x equals 2400 so 8x = 2400 so divide both sides by 8 to find that x = 300.  Kim's portion is 6x so 6(300) equals 1800.

Answer:

The third one x+49+28=180

Step-by-step explanation:

We can say that the angle between the 29° angle and the 49° angle is equal to x, since they are vertically opposite angles.

The sum of 28+49+x is equal to a supplement angle which is a straight line essentially

We can then say x+28+49=180

:)

If you want to calculate x,

x=180-28-49

x=103

Answer:

b. y=2x-2

Step-by-step explanation:

y=mx+b

m= slope

b=y intercept

Answer:

4/11 or 0.36

Step-by-step explanation: