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Serjik [45]
3 years ago
8

Rob is setting up a model train track that is 3 3/8 feet long no telephone pole is needed at the start of the track. However alo

ng the track he places a telephone pole every 3/8. Foot a part. How many telephone poles dose he need
Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0
First we need to convert 3 3/8 into 1/8ths:

3 \frac{3}{8} = \frac{27}{8}

Now, we need to see how many times 3/8 goes into 27/8:

\frac{27}{8} \div \frac{3}{8} = 27 \div 3 = 9

So we know he needs 9 telephone poles
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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
Solve this equation with variables on both sides- 8x-19=-3x-41 Show work
Nastasia [14]
8x-19=-3x-41
+3x +3x
11x-19=-41
+19 +19
11x=-22
÷11 ÷11
x=-2
8 0
3 years ago
25
Elodia [21]

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33

3 0
2 years ago
Write y=1/8x+7 in standard form using intergers
lakkis [162]

Answer:

B) -x+8y=56

Step-by-step explanation:

y=1/8x+7

Multiply by 8 to clear the fraction

8y = 8(1/8x+7)

Distribute

8y = 8*1/8x +8*7

8y = x+56

Subtract x from each side

-x+8y = x-x+56

-x+8y = 56

4 0
3 years ago
Help me with this problem show your work please
Akimi4 [234]
It cannot be simplified...
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3 years ago
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