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3 years ago

Find the value of x. X=

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer:

x = 65

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 115 = 180 ( subtract 115 from both sides )

x = 65

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Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find

GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0

2 years ago

What is the rate of decay in the following function?<br><br> f(x)=3(67)^x

tigry1 [53]

Answer:

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.

5 0

2 years ago

1)How much do you need to subtract from 35/6 to make 5?

nikdorinn [45]

Answer:

1) 5/6

2) 7/10

3) 3 1/8

4) 3 2/7

5) 1 8/9

Step-by-step explanation:

8 0

3 years ago

Marco can swim at a speed of 45 m/min. define how long it will take him to swim 200 m he solve the equation 45 times to equal 20

user100 [1]

Answer:

The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes

Step-by-step explanation:

Given as :

The speed at which Macro swim = s = 45 meter per minute

The total distance cover by Macro = d = 200 meter

Let The time taken by Macro to cover 200 m = t minutes

<u>Now, From formula </u>

Distance = Speed × time

Or, d = s × t

Or, t = $\dfrac{d}{s}$

Or, t = $\dfrac{\textrm 200 meter}{\textrm 45 meter per min }$

Or, t = 4.44 minutes

So, The time taken by Macro to cover 200 m = t = 4.44 minutes

Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer

8 0

3 years ago

PLEASE HELP! What is the value of x in the equation below?

Svetlanka [38]

Answer:

C. 20

Step-by-step explanation:

We have to isolate x.

6(x - 8) = 72

Distribute 6.

6x - 48 = 72

Add 48 to both sides.

6x = 120

Divide both sides by 6.

x = 20

7 0

3 years ago

Read 2 more answers