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MissTica
3 years ago
9

Please find the rule on how the triangles are congruent.

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer:

SAS (number 4)

ValentinkaMS [17]3 years ago
5 0
SAS answer 4 is correct
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Write the complex number 1 +i/1 -i into polar form​
IRINA_888 [86]

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

7 0
3 years ago
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter
Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0
3 years ago
Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 5x + 2 = -3
Juli2301 [7.4K]
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
5 0
3 years ago
Any good mathematicians out there?! In need of help<br><br> Brainliest + POINTS
Zarrin [17]

Answer:

1199 $

Step-by-step explanation:

3297+365=3662

1280+270+325+153+300+50+35= 2413

3662-2413=1249$

i hope u understand

3 0
3 years ago
Read 2 more answers
Chris bought a new car for $11,000. If he
pshichka [43]

Answer

B

Step-by-step explanation:

5 0
2 years ago
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