Please i need help I will heart whoever answers. Thx

Answer:

The answer is D

Step-by-step explanation:

took the test

The polar expression of a complex number in its rectangular form 4(cos120° + i sin120°) = -2 + 2√3 i.

Let Z = a + ib be a complex number in the cartesian form represented by point P(a, b) in the complex plane then Z = r cos∅ + i r sin∅ =r is called the polar form of a complex number.

We have.

z = 4(cos120° + i sin120°)

z = 4(cos(90 + 30)° + i sin(90 + 30)°)

Using trigonometry

cos (90 + ∅) = -sin ∅ and sin (90 + ∅) = -cos ∅

So, 4( -sin (30)° + i cos (30)°)

= 4 ( -1/2 + i √3/2)

= -4(-1/2) + i 4(√3/2)

= -2 + 2√3 i

Thus, the rectangular form is 4(cos120° + i sin120°) = -2 + 2√3 i.

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Answer:

x = 6

Step-by-step explanation:

4(x + 4) = 5(3 + 5) => Intersecting Secants Theorem

4(x + 4) = 5(8)

Open the bracket

4x + 16 = 40

Subtract 16 from each side

4x + 16 - 16 = 40 - 16

4x = 24

4x/4 = 24/4

x = 6

The length of the segment x is 6

The length of the segment x is calculated using the Intersecting Secants Theorem

This is represented as:

[tex]4(x + 4) = 5(3 + 5)[/tex]

Evaluate 3 + 5

[tex]4(x + 4) = 5(8)[/tex]

Open brackets

[tex]4x + 16 = 40[/tex]

Collect like terms

[tex]4x = 40 - 16[/tex]

Evaluate the like terms

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]x = 6[/tex]

Hence, the length of the segment x is 6

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Answer:

30.5

Step-by-step explanation:

4.25÷17×122

0.25×122

30.5

Answer:

30.5

Step-by-step explanation:

Answer:

Make sure you include the words ^-^

Step-by-step explanation:

Answer:

3 more students

Step-by-step explanation:

6-3=3

How did you get that?

6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.

Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096

Steps:

[tex]\frac{4^{9} }{4^{3} }[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]

[tex]=4^{9-3}[/tex]

[tex]4^{9} -^{3}[/tex]

=4096

The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.

Simplification of algebraic expressions, in computer algebra.

Simplification usually involves making the expression simple and easy to use later.

We need to Simplifying the expression

4 ^ 9 / 4 ^ 3 .

Now,  4 ^ 9 / 4 ^ 3

Using exponent formula;

= 4 ^ ( 9 - 3 )

= 4 ^ 6

= 4096

Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

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Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) [tex]P(X \geq 48) = 0[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

From past experience, she is successful on 2% of her calls.

This means that [tex]p = 0.02[/tex]

50 calls.

This means that [tex]n = 50[/tex]

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

[tex]E(X) = np = 50*0.02 = 1[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]

[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]

[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]

So

[tex]P(X \geq 48) = 0[/tex]

Answer:

b

Step-by-step explanation:

Answer:

option b

i.e-

(-1,3) and (2,6)

Step-by-step explanation:

The solution of two graphs are the point where they intersect each other.

Above, they intersect each other at two points

Answer:

1. − 5/4

2. 77/3

Step-by-step explanation:

SO SORRY IF THIS IS WRONG!! T^T

Answer:

4*0 (the last one)

Step-by-step explanation:

Answer: 3.50

Step-by-step explanation:

Answer:

the answer is 51

Step-by-step explanation:

a triangle has 180 degree in total

180-124=56

73+56+x= 180

x= 51

Answer:

51

Step-by-step explanation:

➝x+73=124

➝x=124-73

➝x=51

Answer:

its tb=tc g

Step-by-step explanation:

Answer:

y = -1/3x + 6

Step-by-step explanation:

the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.

5 = -1/3(3) + b

5 = -1 + b

6 = b

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

Answer:

56

Step-by-step explanation:

180-124 ....................

Answer:

parangaricutirimicuaro

60 is my resultados of area

Answer

[tex]54 \sqrt{3} [/tex]

Step-by-step explanation:

Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6

Area=

[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]

[tex] = 54 \sqrt{3 } cm ^{2} [/tex]

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!

= 2 + 4 = 6 ↔ rational

= 2 * 2 = 4 ↔ rational

= 7 + 9 = 16 ↔ rational

Hope this helps!!

Answer:

(19,1/2)

Step-by-step explanation:

you can put any number in the x coordinate as long as y is the same .

Answer:

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

The area is:

Answer:

215132

Step-by-step explanation:

deltamath

Answer:

Only sequence B

Step-by-step explanation:

Got the answer from Khan Academy.

A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

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Answer:

9-14-21 this one do not support the statement

Step-by-step explanation:

Answer:

20 students were absent

Step-by-step explanation:

Half means divide by 2:

40/2 = 20