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3 years ago

The complex number -5i has the complex trigonometric form of 5(cos 270° + isin 270)

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

Answer:

True , -5i = 5*(0 - i) = 5*( cos 3π/2 + i*sin 3π/2) = 5*(cos 270 + i*sin 270)

Step-by-step explanation:

5*( cos 3π/2 radians + i*sin 3π/2 radians) = 5*(cos 270 degrees + i*sin 270 degrees)

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9. Find the value of x if

Gnoma [55]

Answer:

correct answer to the question is option B

Step-by-step explanation:

as 3 raise to the power 4 equal to 3 raise to power 3 and 3 get cancel and the answer is

4 0

3 years ago

What number line represents the solution set for the inequality 3x < –9?

umka21 [38]

3x<-9
3x/3<-9/3
x<-3 or (-∞,-3).

Answer: (-∞,-3).

4 0

2 years ago

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In an examination, 80 students secured

faust18 [17]

Number of students who secured first class in English only is 20

Step-by-step explanation:

Step 1: Find the number of students who secured first class in English only.

Total number of students who secured first class in English or Maths, T = 80

Number of students who secured first class in Maths, M = 50

Number of students who secured first class in both English and Maths, EM = 10

⇒ Let the number of students who secured first class in English only be x.

Total students with first class, T = M + EM + x

⇒ 80 = 50 + 10 + x

⇒ 80 = 60 + x

∴ x = 80 - 60 = 20

3 0

3 years ago

Image is the equation

Leni [432]

Answer:

y = $\frac{3}{4}$ x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = $\frac{3}{4}$ , then

y = $\frac{3}{4}$ x + c ← is the partial equation

to find c substitute (- 4, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = $\frac{3}{4}$ x + 8 ← equation of line

6 0

10 months ago

Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of

Sophie [7]

Answer:

Probability that both cans were regular soda = $\frac{1}{11}$

Step-by-step explanation:

Probability = $\frac{Desired outcome}{Total possible outcomes}$

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

Total possible outcomes are, n(total) = 12

Desired outcome: 4 (cans of regular soda)

P(1st can) = $\frac{4}{12}$ = $\frac{1}{3}$

Probability that 2nd can is a regular soda:

<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>

Total possible outcomes are, n(total) = 11

Desired outcome: 3 (cans of regular soda as one has already been taken)

P(2nd can) = $\frac{3}{11}$

Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

= $\frac{1}{3} * \frac{3}{11}$

= $\frac{1}{11}$

3 0

3 years ago

Read 2 more answers