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Novay_Z [31]
3 years ago
12

ABC is a right triangle. If AC = 12 and BC = 13, find AB.

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Alright, lets get started.

There is a right triangle given, please refer the diagram I have attached.

Using Pythagorean theorem,

AC^2+AB^2=BC^2

Plugging the value of sides in theorem

12^2 + AB^2 = 13^2

144+AB^2=169

AB^2 = 169-144

AB^2 = 25

Taking square root on both sides

AB = 5  ..................   Answer

Hpe it will help :)

AysviL [449]3 years ago
3 0
Since BC is the hypotenuse...

α = 12
c = 13

Hence..

13² = 12² + ß²
ß = √(13² - 12²)
= √(169 - 144)
= √25
= 5

Hence, AB = 5

I hope this helps!
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A meal for two at at a restaurant cost $32.75.If the sales tax is 5%.whats the total price of the meal.
Lesechka [4]

Answer:

$34.39

Step-by-step explanation:

To find the sales tax, multiply 32.75 by 0.05 to get about $1.64. Add 1.64 to 32.75 to find the total price of the meal, $34.39.

5 0
3 years ago
a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...​
Natali5045456 [20]

Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:

velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )

acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )

Then when <em>t</em> = <em>π</em>, the particle's acceleration is

<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)

… = -5 • (-1) - 9 • 0 = 5

7 0
3 years ago
Happy Earth Day. Have a wonderful Day! If you answer you must give me ten Earth day Activities to answer. Thank you!
emmasim [6.3K]

Answer:

Happy Earth Day to u too.

Step-by-step explanation:

1) Plant a sapling

2) Draw a poster related to Earth Day

3) Color a picture of the Earth/ tree

4) Decorate ur room with plants

5) Prepare a speech on Earth Day

6) Do T-shirt designing with Earth as a design

7) Buy a paper/ cloth bag

8) Recycle what u use

9 Avoid plastic

10) Use bikes or walk instead of vehicles

5 0
3 years ago
Read 2 more answers
143+ [(96 + 8) 5] – 42.
Tresset [83]

Answer:

621

Explanation:

143 + (96 + 8)(5) − 42

(96 + 8)(5)

= 520

143 + 520 - 42

= 663

663 - 42

= 621

7 0
3 years ago
Somebody please help me with my homework it do tomorrow!!!
xxTIMURxx [149]

The solution to given system of equations is (x, y) = (2, -1)

<em><u>Solution:</u></em>

Given system of equations are:

-1x + 2y = -4  -------- eqn 1

4x + 3y = 5 ------- eqn 2

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 4</u></em>

4(-1x + 2y = -4)

-4x + 8y = -16  ------ eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4x + 3y = 5

-4x + 8y = -16

( + ) --------------------

0x + 11y = -16 + 5

11y = -11

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-1x + 2(-1) = -4

-x -2 = -4

-x = -4 + 2

-x = -2

x = 2

<em><u>Check the answer:</u></em>

Substitute x = 2 and y = -1 in eqn 2

4x + 3y = 5

4(2) + 3(-1) = 5

8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

8 0
3 years ago
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