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BlackZzzverrR [31]
2 years ago
7

I have a radius of 35ft, what is the diameter ?

Mathematics
1 answer:
lianna [129]2 years ago
3 0

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

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Can someone explain this step by step please
kobusy [5.1K]

Answer:

x = - 2

y = 6

Step-by-step explanation:

The best way to do this is to put - 3x in for y in the second equation.

4x - 2(-3x) = - 20        Watch the signs. You have 2 minus signs.

4x - - 6x = -20            Change - - 6x to 6x

4x + 6x = - 20              Add

10x = - 20                   Divide by 10

x = -20/10

x = - 2

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

Find y

y = - 3x

y = -3 * -2

y = 6

3 0
2 years ago
A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment
mrs_skeptik [129]

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

6 0
2 years ago
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.
Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

7 0
3 years ago
Read 2 more answers
A solid silver spoon has a mass of 65.1g.
Keith_Richards [23]

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

3 0
3 years ago
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