find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second​

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

Answer:

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y  

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3)                   \

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

Answer:

Step-by-step explanation:

750.05 easy :)

Answer:

$796.26

Step-by-step explanation:

answer on my exam

Answer:

Heyaa! Im Pinky! Im here to inform you that you're answer is....

Step-by-step explanation:

!!! Shane Is correct because.... !!!

Explanation:

1. 1/4 of x is 6 becomes

2.  1/4X=6

3. X=6 / 1/4

 4. X=6/1 X 4/1

Answer: X=24

Have An Amazing Dayy!!!!

~Pinky~

Answer:

2.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I don't know, but it makes the most sense. It can't be 1, that's too low. And it obviously not 22.5 or 30. So that means either 1.5 or 2, and 2 is the most centered. Therefore, I'm guessing 2.

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Answer:

[tex] \frac{4}{3} \times \pi \times {21}^{3} = 38772.719999383[/tex]

Exact Volume =  12348pi

Approximate Volume =  38772.72   (when using pi = 3.14)

Units for the volume are in cubic inches

====================================================

Explanation:

The cube has a side length of 42 inches.

Because the sphere is as large as possible, yet fully contained in the box, this means the diameter of the sphere is 42 inches.

If the diameter is 42, then the radius is half that at 21.

Plug r = 21 into the formula below to compute the volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*21^3

V = (4/3)*21^3*pi

V = 12348pi  .... exact volume

If we use the approximation pi = 3.14, then we would get,

V = 12348*pi

V = 12348*3.14

V = 38772.72 .... approximate volume

The units for the volume are in cubic inches. If you need more accuracy for the approximate volume, then use more decimal digits of pi.

Answer:

1.024 cm

Step-by-step explanation:

volume of Sphere is given by; V=4/3(πr³).

by making r subject of formula, the equation for r is;

r=³√(3v)/4π

given from question that V=4.5cm³, π=3.14, substituting the values in the equation for r,

we have that;

r=³√[3(4.5)]/[4(3.14)]

r=1.024 cm ( 2 significant figures?

Answer:

hi. im looking for fr33 p01nts. hope u understand.

Step-by-step explanation:

Answer:

125 m²

Step-by-step explanation:

Given sides of similar shapes in the ratio a : b then

ratio of area = a² : b²

Here ratio of sides = 4 : 5 , so

ratio of areas = 4² : 5² = 16 : 25

let x be the area of the larger shape then by proportion

[tex]\frac{16}{80}[/tex] = [tex]\frac{25}{x}[/tex] ( cross- multiply )

16x = 2000 ( divide both sides by 16 )

x = 125

Then area of larger shape is 125 m²

Answer:

i dont know man

Step-by-step explanation:

I think its 10, correct me if u find its wrong

Answer:

wave erosion

Step-by-step explanation:

Answer:

Wave Deposition

Step-by-step explanation:

Answer:

5 is the answer

xdxdddx thank you

Answer:

The answer is 5.

Step-by-step explanation:

Using pythagoras theorem:-

[tex]13^{2}[/tex] = [tex]x^{2}[/tex] + [tex]12^{2}[/tex]

=> [tex]13^{2}[/tex] - [tex]12^{2}[/tex] = [tex]x^{2}[/tex]

=> [tex]x^{2}[/tex] = 25

=> [tex]x[/tex] = [tex]\sqrt{25}[/tex]

∴ [tex]x[/tex] = 5

Answer:

3/2

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

they use 3 plates a day

there are 4 of them

so in one day, they use 12 plates [3x4]

they camp for 7 days, so 12x7.

84!! :D

Answer:

add 37.00 to 432.10. so you get 432.10 + 37.00 = 469.1

Answer:

1714

Step-by-step explanation:

hope this helps have  a great day

Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

First, you have to subtract by 3x from both sides.

[tex]\sf{4x-3x=3x+5-3x}[/tex]

Solve.

x=5

[tex]\large\boxed{x=5}[/tex]

Therefore, the solution is x=5.

[tex] \huge \rm{answer:} \: \boxed{ \rm{ \purple{x = 5}}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge \red{\boxed{ \sf{armed \: account}}}[/tex]

[tex] \huge \rm{4x = 3x + 5} \\ \huge\rm{4x - 3x = 5} \\ \huge \rm{1x = 5} \\ \huge \boxed{\rm{x = 5}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{\boxed{ \rm{Hope \: this \: helps}}}[/tex]

Answer:

15.5 in

Step-by-step explanation:

To find diameter from circumference, divide circumference by π

48.67/3.14=15.5

Answer:

85

Step-by-step explanation:

i useed the formula LxWxH

i came up with 85

5x5x3.5

Explicaciones paso a paso:

Primero es necesario aclarar que el porcentaje en total es igual a 100%

Entonces si en total todos los ensayos dan un total de 50 ensayos lo único que se debería de hacer para conocer la probabilidad de cada número sería multiplicar por 2 el número de veces que ocurrió cada número.

Respuesta:

5 = 34%

6 = 16%

7 = 26%

8 = 24%

Espero haber ayudado y que tengan un buen día.

Answer: 1 1/5

Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.

Answer:

Volume = 684 in^3

Step-by-step explanation:

To start, the equation for Volume = L*W*H

So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:

6*6*6 to get the volume of just it

216

Next. lets get the rectangular prism.

6*6*13

468

Last, combine these.

684 in^3

Answer:

3

Step-by-step explanation:

6 divided bye 2=3

Answer:

24

Step-by-step explanation:

Answer:

296.96 m

Step-by-step explanation:

Answer:

0.69

Step-by-step explanation:

Add both 0.49 and 0.20 (blood types)

0.49+0.20 = 0,69

The probability that a randomly chosen person can donate blood to Joe

would be 0.69.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The distribution of blood types from a group of randomly selected people:

Blood          Probability:                    

o                  0.49

A                  0.27

B                  0.20

AB                0.04

Joe can safely receive blood transformations from people with blood types O and B.

The probability that a randomly chosen person can donate blood to Joe

= 0.49 + 0.20

= 0.69

Learn more about probability here;

https://brainly.com/question/11234923