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3 years ago

Could someone check that I did this correctly? It's about complex numbers. Thank you!

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

All your steps are correct. Well done!

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Dylan has a square peice of metal that measures 10inches on each side he cuts the metal along the diagonal, forming two right tr

poizon [28]

Since it is a square, both the length and the width are equal. Both are 10 inches.

We will use Pythagoras Theorem to find the diagonal of the square.

$\boxed { \boxed {a^2 + b^2 = c^ }}$

$c^2 = 10^2 + 10^2$

$c^2 = 100 + 100$

$c^2 = 200$

$c = \sqrt{200}$

$c = 14.1 \text { inches}$

$\boxed {\boxed {\text {Answer: The hypotenuse is 14.1 inches}}}$

4 0

4 years ago

In △ACD, if AC ≅ AD, m∠A = (3x – 4)°, m∠C = (5x + 1)°, and m∠D = (7x – 27)°, find x and the measure of each angle. *

Tems11 [23]

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

5 0

3 years ago

HELP!!! There is a photo please quickly!!

Nostrana [21]

Answer:

∆y = 9

∆x = 6

Slope = 3/2 or 1.5

It looks like you erased it, but you had the answer correct on your paper.

Step-by-step explanation:

7 0

1 year ago

Determine which ordered pair is a solution of y=8X

Amanda [17]

<span>A.(0,8) B.(-1,8) C.(1.5,10) D.(2,16)

Simply substitute the value of x to get the value of y.

y = 8x

(0,8) y = 8(0) ; y = 0

(-1,8) y = 8(-1) ; y = -8

(1.5,10) y = 8(1.5) ; y = 12

(2,16) y = 8(2) ; y = 16

The correct ordered pair is D. (2,16)</span>

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3 years ago

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

Korolek [52]

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

428 + w < 2000

C). By solving the given inequality,

(428 + w) - 428 < 2000 - 428

w < 1572 pounds

Now we draw this inequality on a number line.

3 0

3 years ago