Gina uses the function LaTeX: k\left(h\right)\:=\:\sqrt{4h\:-\:12}k ( h ) = 4 h − 12 to model the height of a kite based on the amount of string released when the kite is flown. The variable h represents the height of the kite in feet and k(h) represents the amount of string released in feet. How how high was the kite when Gina released 20 feet of string?

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

A. (2, -2)

Step-by-step explanation:

if you find the median between (-1,3) and (5,-7) you get (2,-2).

Answer:

A) (2,-2)

Step-by-step explanation:

To find midpoint:

(x+x/2, y+y/2)

-1+5/2 =2

3+-7/2=-2

Answer:

Center: (4,-13)

Radius: 17

Step-by-step explanation:

I guess you do not need an explanation, so I gave you only an answer.

Answer:

m=7

9

Step-by-step explanation:

10-3

10-1 answer 7/9

Answer:

The answer is D) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

C)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= (change in y)/(change in x) .

rate  of  change=(212)/(4) .

rate of change =  53.

rate  of  change= (318)/(6).

rate of change =  53

rate of change =  (424)/(8).

rate of change =  53.

rate of change =  (530)/(10) .

rate of change =  53.

Therefore, C)  rate of change is 53, your car travels 53 miles every 1 hour .

Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

girls:boys = 4:2

12 = 6 x 2

so

girls = 6 x 4 = 24

and lets simplify to check

24:12 = 24/6:12/6 = 4:2

Answer:

rise over run 2/10 siplified 1/5

Step-by-step explanation:

Answer: The points of EFG after 180 degrees rotation will be :  (-2,-1), (-6,1), (-1, 5).

Step-by-step explanation:

Given: Triangle EFG has vertices E(2,1), F (6,-1) ,and G (1,-5).

According to 180 degrees rotation rule:

[tex](x,y)\to (-x,-y)[/tex]

Image of E : (-2,-1)

Image of F = (-6,-(-1)) = (-6,1)

Image of G = (-1,-(-5)) = (-1, 5)

Hence, The points of EFG after 180 degrees rotation will be :  (-2,-1), (-6,1), (-1, 5).

Answer:

function:

graph and table A and B

not function:

mapping A and B

Answer:

the answer is :)

Step-by-step explanation:

Answer:

D because the triangle has to be congruent

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

Answer:

1. Greatest Common Factor

2. Fraction

3. Simplest Form

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

alright lol

Step-by-step explanation:

Answer:

5/6 of his yard

Step-by-step explanation: 1/3+3/6=5/6

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

65 degrees Fahrenheit

Step-by-step explanation:

47 - (-18) = 65

Answer: I believe it is 65

Answer:

angle 3 and angle 5

angle 2 and angle 8

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

Answer:

j-10=35

Step-by-step explanation:

10 less than j means j-10 is 35

=> j-10=35

Answer:

f-10=35 thus meaning f=45

Step-by-step explanation:

f - 10 = 35

 +10   +10

    f=45

Hope you find this usefull

-Aj-;)

Answer:

The answer is 5.7!

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

We are going to solve this by using the Simple interest formula which is:

= Principal × Rate × Time

= 500 × 3% × 8/12

= 500 × 0.03 × 2/3

= 10

Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510

Answer:

1/4= 3/12-1/12 which is 2/12 or 1/6 cuz 3/12 is bigger than -1/12

Step-by-step explanation:

Answer: two twelvths

Step-by-step explanation: 1/4=3/12 and then 1/12=1/12. The dimonimator always stay's the same if they are all or both the same number. so dimonimator is 12 and then 3-1=2 so the numiraitor

Sorry if I did the wrong spelling or the answer!

thanks,vivid1388

Answer:$154

Step-by-step explanation:

Given

the radius of the circular board is [tex]r=3.5\ m[/tex]

The cost of paint  is [tex]\$4\ \text{per}\ m^2[/tex]

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

Area of board

[tex]\Rightarrow A=\pi r^2\\\\\Rightarrow A=\dfrac{22}{7}\times 3.5^2=38.48\ m^2[/tex]

Cost of painting

[tex]\Rightarrow C=38.48\times 4=153.95\approx \$154[/tex]

Answer: D

Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!