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3 years ago

If a = 2 + i, and b = 3 – 2i, what is a/b?

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Answer:

it's $\\\frac{4}{13} +\frac{7}{13}i$

Step-by-step explanation:

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An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?

Alina [70]

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x as 60 : 30

Simplify the right ratio

14 : x as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

5 0

3 years ago

Please help!! Question is in the picture!!

Debora [2.8K]

$\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

Experimental probabilities from the table:

Probability of getting 1 = $\frac{12}{60}=\frac{1}{5}$

Probability of getting 2 = $\frac{17}{60}$

Probability of getting 3 = $\frac{15}{60}=\frac{1}{4}$

Probability of getting 4 = $\frac{16}{60}=\frac{4}{15}$

To determine which are the experimental probabilities from the table:

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: $\frac{17}{60}$

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: $\frac{1}{4}$

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: $\frac{7}{15}$

This is not obtained above. So, it is not the experimental probability.

Option E: $\frac{12}{43}$

This is not obtained above. So, it is not the experimental probability.

Hence $\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

5 0

3 years ago

Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation

Black_prince [1.1K]

Define x:

Let the first number be x.

1st number = x
2nd number = x + 1
3rd number = x + 2

Construct equation:
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)

Answer: 3x + 3 = 4(x + 1)

5 0

3 years ago

Find all the zeros of the quadratic function.

earnstyle [38]

Answer x=-2,-6

The roots (zeros) are the
x
x
values where the graph intersects the x-axis. To find the roots (zeros), replace
y
y
with
0
0
and solve for
x
x
.

4 0

2 years ago

There are three consecutive even integers. Three times the smallest is twice the largest. What are the integers?

MaRussiya [10]

Answer:

8, 10, 12 are the integers

Step-by-step explanation:

Guess and check

4 0

3 years ago