Ethan says that if the diameter of a bicycle wheel is 3.5 feet then its
radius must be 1.75 feet. Is Ethan correct?

Answer: 1/4

Step-by-step explanation:

If you add the equations:

12a + 3b = 1

-2a + 7b = 0

------------------- (you get):

10a + 10b = 1 (divide by 10)

a + b = 1/2 (divide by 2 since average of two numbers is their sum divided by 2)

(a + b) / 2 = 1/4

Answer: 0.05

Step-by-step explanation:

1. 12a+3b=1

a= (1-3b)/12

2. 7b-2a=0

7b-2((1-3b)/12)

b=1/45

a=(1-3b)/12=(1-3(1/45))/12=7/90

Lastly: (7/90+1/45)/2=0.05

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]

i.e.

[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]

Hence, The height of the telephone pole = $15.046

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer:

40, 46, 52, 58

Step-by-step explanation:

To find the next four terms, we have to find the pattern of the given terms.

We start at 10 and then go to 16.

Let's try adding 6 to each term and see what we get.

10 + 6 = 16

16 + 6 = 22

22 + 6 = 28

28 + 6 = 34

Looks like it matches the given terms.

To find the next four terms, we just have to keep adding 6 to each term.

34 + 6 = 40

40 + 6 = 46

46 + 6 = 52

52 + 6 = 58

Answer:

C) z = 1/2

Step-by-step explanation:

4z + 5 = 7

4z = 2

z = 1/2

Answer:

63.4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

because all diagonals are of the same lenght

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

Answer:

Step-by-step explanation:

work backwards to find the factors from the roots then multiply the factors together. y= x² - 24x + 140

Answer:

lelelleleellelelellelellelelelrlrlelel

Answer:

h(x) = f(x) + g(x)

fill in the equations

h(x) = (2x^3 + 1) + (x^2 - 4x + 3)

h(x) = 2x^3 + 1 + x^2 - 4x + 3

combine like terms

h(x) = 2x^3 + x^2 - 4x + 4

Answer:

It D

Step-by-step explanation:

Answer:

   She switched the x- and y-coordinates.

   Both coordinates should be positive values.

   The x-coordinate should be 5.

✔ The y-coordinate should be -3 1/2

Answer:

19.95 %

19.95%

Hope that helps!

Step-by-step explanation:

Answer:

x=2,x=4

So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.

Step-by-step explanation:

Solve for x by using cross multiplication

6=3x

x=2

12=3x

x=4

Answer:

2x+3

Step-by-step explanation:

[tex](6x+6)+(-3-4x)=2x+3[/tex]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

[tex]x^2+2x-2703=0[/tex]

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

Answer:

5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Salary=30(parts sold) + 700

Step-by-step explanation:

Step-by-step explanation:

step 1. -42 < 7j

step 2. j > -6 (divide both sides by 7)

step 3. notice that I also put the variable first.

Answer:

1 : 3

Step-by-step explanation:

Answer:

4(x + 9) = 76

Hope that helps!

Btw, x = 10

Step-by-step explanation:

Answer:

9.75 is the answer rounded to 10.

10 is the final answer

Hope it helps!!!

Say if my answer is correct....

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Answer:

37318.4

Step-by-step explanation:

hope this helps

Answer:

49

Step-by-step explanation:

i see the other answer is absolutely useless

Marble:Stone

6          :   7

    42   :   49

therefore there are 49 stones

Answer:

49

Step-by-step explanation:

42 ÷ 6 is 6

7 x 7 is 49

so its 49

Answer:

6 5/8

Step-by-step explanation: