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Brrunno [24]
3 years ago
9

Find the area and the circumference of a circle with diameter 3 ft.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Step-by-step explanation:

circumference of a circle

2×pi×r

area of a circle

pi×r²

r (radius) = diameter/2 = 1.5ft

we shall assume pi to be 3.14

circumference is

2×3.14×1.5 = 3.14×3 = 9.42 ft

area is

3.14 × 1.5² = 3.14×2.25 = 7.065 ft²

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Step-by-step explanation:

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Find two consecutive odd integers such that their product is 23 more than 5 times their sum.
Zina [86]

If x is the smaller one, and is odd, the next consecutive odd integer is x+2.

x(x+2) = 23 + 5(x+ (x+2))

x^2 + 2x = 23 +5(2x+2)

x^2 + 2x = 23 + 10x + 10

x^2 -8x - 33 = 0

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How many pounds are in 5 kg<br>11.025 pounds<br>15.435 pounds<br>15.876 pounds<br>24.255 pounds​
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3 years ago
Dominique needs to solve the system of equations by graphing. Which statement is true about the system? 2 x minus 3 y = 12. Y =
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Answer:

Option C) The first equation is y= 2/3x-4 when written in slope-intercept form .

Step-by-step explanation:

We have

2x - 3y = 12  \:  >  \: first \: equation

The first equation is in Standard form .

Convert to slope Intercept form .

Isolate the Variable y .

3y = 2x - 12

Divide by 3 both sides .

y =  \frac{2}{3} x - 4

y =  -  \frac{3}{5} x + 2 > second \: equation

The second equation is in slope Intercept form .

Convert to standard form

Multiply by 5 both sides to remove the fraction .

5y =  - 3x + 10

3x + 5y = 10

<h3><u>Verify each statement :- </u></h3>

<h3>• case A) Both equations are in slope-intercept form.</h3>

  • False

  • Because only the second equation is in slope -intercept form

<h3>• case B) Neither equation is in slope-intercept form .</h3>

  • False

  • Because, the second equation is in slope -intercept form

<h3>• case C) The first equation is y= 2/3x-4 when written in slope-intercept form</h3>

  • True (see the procedure)

<h3>• case D)The second equation is 3x+5y=10 when written in slope-intercept form.</h3>

  • False

  • Because, the second equation is 3x+5y=10 when written in standard form .

<h2>I hope this helps you !! </h2>
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