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2 years ago

1. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i)

Mathematics

1 answer:

lord [1]2 years ago

5 0

Step-by-step explanation:

(3 − 4i) (1 + 5i) − (2 − i)

3 + 15i − 4i − 20i² − 2 + i

1 + 12i + 20

21 + 12i

(a² + 3a − 7) (2a² − a + 4)

a² (2a² − a + 4) + 3a (2a² − a + 4) − 7 (2a² − a + 4)

2a⁴ − a³ + 4a² + 6a³ − 3a² + 12a − 14a² + 7a − 28

2a⁴ + 5a³ − 13a² + 19a − 28

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I need help..........

Levart [38]

Answer:

x<-19/3

x<=2

Step-by-step explanation:

4 0

2 years ago

What is the area of a sector with a central angle 210 and a diameter of 4.6

gizmo_the_mogwai [7]

Theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69

5 0

2 years ago

Read 2 more answers

If a triangle is an equilateral triangle, then the triangle has exactly three 60°

ahrayia [7]

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle

3 0

3 years ago

Convert 1/15 into a decimal correct to 2 decimal places

Citrus2011 [14]

Answer:

$\frac{1}{15} = 0.\overline{66}$

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

$\frac{1}{15} = 0.xx$

2) We multiply the numerator by 10 and find the tenth digit:

$\frac{10}{15} = 0$

Then,

$\frac{1}{15} = 0.0xx$

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.66x$

And the remainder is:

$r = 100-15\times 6$

$r = 10$

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.666$

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

$\frac{1}{15} = 0.\overline{66}$

3 0

2 years ago

Find B if a= 8M, B=69°, and C=48°

dmitriy555 [2]

Answer:

Step-by-step explanation:

7 0

2 years ago