24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?

Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

therefore we have complex number

y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

Answer:

my answer was d. 90 percent sure .

Step-by-step explanation:

The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

This transistive property holds congruent figure. it is states that: If Figure A is equal to figure B and Figure B is equal to Figure C, then Figure A will be equated to Figure C.

For example: AB = CD; CD = EF, then AB = EF

if angle A is equivalent to angle B and angle B is equivalent to angle C; then angle A will be equivalent to angle C

in conclusion, The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

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Answer:

A. 20%

Step-by-step explanation:

Hope it helps!

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

Answer:

123.75

Step-by-step explanation:

165/12= 13.75

$13.75 and hour

13.75x9=123.75

Answer:

$123.75

Step-by-step explanation:

165 / 12 = 13.75

13.75 x 9 = 123.75

Answer:

Option C

Step-by-step explanation:

Radius = D/2

=> 8/2 => 4 cm

Volume = πr²h

=> π × (4)² × 100

=> 16π × 100

=> 1600π cm³

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

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Answer:

x = 8

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

Step-by-step explanation:

I don't know what is the answer I can explain it

Answer:

(-2, 2) (-4, 2) (-4, 5)

Step-by-step explanation:

The coordinate for A are (2, 2) (4, 2) and (4, 5).

When you reflect across the x=axis the y coordinates become negative.

(2, -2) (4, -2) (4, -5)

y = x is a diagonal line through the origin, and all of the points change signs.

(-2, 2) (-4, 2) (-4, 5)

Plot the 3 points for the triangle.

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Sum of angles of a pentagon is ~ 540°

Therefore,

Value of x = 95°

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

Answer:

0.4

Step-by-step explanation:

I used a calculator so it should be correct

Answer:

10:24

Step-by-step explanation:

if school starts at 7:15 and you stay in the first 4 periods for 47 minutes each, that totals 3 hours, 8 minutes

7:16 + 3 hrs, 8 min = 10:24

Answer:

John is correct

Step-by-step explanation:

Let's solve the inequality:

[tex]3x-5\geq28[/tex]

[tex]3x\geq33[/tex]

[tex]x\geq11[/tex]

As we can see, the value of x can be either 11 or anything greater than 11. Since 12 is included in that solution set, John is correct.

wait

Step-by-step explanation:

ignore what I just said I was on crack bro

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Answer: 40

Step-by-step explanation:

Answer:

f=7

Step-by-step explanation:

42=6f

/6   /6

42/6=7

You divide 6 from 42, which leaves you with 7=f.

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

Answer:

  33 °C

Step-by-step explanation:

Put 92 where F is in the equation, and solve for C.

  92 = 1.8C +32 . . . . substitute for F

  60 = 1.8C . . . . . . . . subtract 32

  60/1.8 = C ≈ 33.33 ≈ 33 . . . . . divide by the coefficient of C, round the result

The temperature is about 33 °C.

Answer:

2 b is you answer

Step-by-step explanation:

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

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

In which:

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

Answer:

w+h+10=10wh

Step-by-step explanation:

Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

Answer:

The area of this figure is 24mm.

Step-by-step explanation:

4mm*3mm=12mm

1mm*6mm=6mm

3mm*4mm=12mm/2mm=6mm

6mm+6mm+12mm=24mm

Answer:

14,20

Step-by-step explanation: