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Studentka2010 [4]
3 years ago
10

The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd

number.
Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

11, 13 and 15.

Step-by-step explanation:

Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

Applying that here, we get:

Odd number* the next odd number*the next odd number=2145

x*(x+2)*(x+4)=2145

x*(x^2+4x+2x+8)=2145

x^3+6x^2+8x=2145

By solving the polynomial, you get x=11.

Which makes our three numbers: 11, 13 and 15.

11*13*15=2145. The answer checks.

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In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

Thus, arc length is 11.30 feet

7 0
3 years ago
I need to get the answer to the problem 3(x-4)=12 because I am having trouble solving it
KiRa [710]

Answer:

x = 8

Step-by-step explanation:

3(x-4) = 12

3x - 12 = 12

+ 12         + 12

3x = 24

/ 3     / 3

x = 8

6 0
3 years ago
Read 2 more answers
SOLVE EACH SYSTEM USING SUBSTITUTION
NNADVOKAT [17]
1. since the equations equal each other 
2x+19=x+7
-x        -x
x+19=7
  -19  -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
       -39/2   -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
  -5  -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
     -9  -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

3 0
2 years ago
Question Help
Roman55 [17]
In commission he made $30, and in all he made 780$
8 0
2 years ago
Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5
Vedmedyk [2.9K]

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

7 0
2 years ago
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