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saw5 [17]
3 years ago
10

Mr. Lewis designed a circular walkway in

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Answer:

The diameter is equal to the circumference divided by the number pi

Step-by-step explanation:

we know that

The circumference of the circular walkway is equal to

C=\pi D

where

D is the diameter

we have

D=6\ ft

substitute

C=\pi (6)

C=6\pi\ ft

so

Divide the diameter by the circumference

\frac{D}{C}=\frac{6}{6\pi}

\frac{D}{C}=\frac{1}{\pi}

D=\frac{C}{\pi}

The diameter is equal to the circumference divided by the number pi

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If f(x)= -3x-5 and g(x)= 4x-2 find (f+g)(x)
juin [17]

Known :

f(x) = -3x - 5

g(x) = 4x - 2

Asked :

(f+g)(x) = ...?

Answer :

(f+g)(x) = (-3x - 5) + (4x - 2)

= (-3x + 4x) + (-5 - 2)

= x + (-7)

= <u>x </u><u>-</u><u> </u><u>7</u>

So, the value of (f+g)(x) is x - 7

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

5 0
3 years ago
Read 2 more answers
The radius of a circle is 58 centimeters. enter the circumference of the circle
Zanzabum

Answer:

C = 364.24

Step-by-step explanation:

Comment

The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r

Givens

pi = 3.14

r = 58 cm

Circumference = ?

Formula

C = 2*pi * r

C = 2 * 3.14 * 58

C = 364.24

5 0
2 years ago
What is the surface area of the prism?
kow [346]
The\ surface\ area:A_s=2B+(S_1+S_2+S_3)\cdot H\\B=\frac{12\cdot5}{2}=\frac{60}{2}=\boxed{30\ (yd^2)}\\\\S_1=5yd;\ S_2=12yd;\ S_3=13yd;\ h=8yd\\\\therefore\\\\A_s=2\cdot30+(5+12+13)\cdot8=60+30\cdot8=60+240=\boxed{300\ (yd^2)}Volume\ of\ the\ prism:V=B\cdot H\\\\B\ (base)\ it's\ a\ right\ triangle:B=\frac{12\cdot5}{2}=\frac{60}{2}=\boxed{30\ (yd^2)}\\\\H=8yd\\\\therefore\\\\V=30\cdot8=\boxed{240\ (yd^2)}\leftarrow\boxed{C}
8 0
3 years ago
Read 2 more answers
What are the values of x in the equation 4x2 + 4x - 3 = 0?
9966 [12]

Answer:

x=  0.5

or x=  -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

5 0
3 years ago
4x-5=x-1+3x I need help
labwork [276]

Answer:

x = no solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x - 5 = x - 1 + 3x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    4x - 5 = 4x - 1
  2. Subtract 4x on both sides:          -5 ≠ -1

Here we see that -5 does not equal -1.

∴ This equation has no solutions.

8 0
3 years ago
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