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3 years ago

HELP PLSSSSsssssssssssssssss

Mathematics

2 answers:

KatRina [158]3 years ago

6 0

3/10 hope this helps:)

ipn [44]3 years ago

6 0

3/10 i hope this is correct don’t know for sure

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You pick a card at random what is p(3 or even)

finlep [7]

Answer:

probability=events over the sample space

4 0

3 years ago

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

4 years ago

Matt's rectangular patio measures 9 feet by 12 feet. he wants to increase the patio's dimensions so its area will be twice the a

Eva8 [605]

The present dimensions are : length = 12 feet

width = 9 feet

Area = 12* 9 = 108 feet squared

If the dimensions are increased by x feet the dimensions are :

length = 12 + x

width = 9+ x

Area = ( 12+x)( 9+x)

new area = initial area * 2

( 12+ x)( 9+ x) = 2 * 108

12*9 + 12x + 9x + xx = 216

108 + 21 x + x^2 = 216

x^2+ 21x = 216-108

x^2 + 21x = 108

x^2 + 21x -108 = 0

let us plug a= 1 b= 21 c= -108 in quadratic formula

x= [-21 + / - ( 21^2 - 4* 1 * -108 )^(1/2 ]/ 2* 1

x= 4.27

Answer :

Both sides are increased by 4.27 feet .

7 0

4 years ago

What is the area of a circle if its circumference is 22n?

OLga [1]

The answer is: Area 38.5

8 0

3 years ago

NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST

AlladinOne [14]

Answer:

Step-by-step explanation:

(7^0/7^5)^1/5

= (1 / 7^5)^ 1/5

= (7^-5)^1/5

= 7^-1

= 1/7 is the correct answer.

5 0

3 years ago