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Dmitry [639]
3 years ago
8

Triangle ABC is right angled at A. if AB is 20 cm and AC is 15 cm then find length of BC

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

BC = 25

Step-by-step explanation:

To find the length of BC you need to use the pythagorean theorem.  

a^{2} +b^{2}=c^{2}

There are two part to a triangle that need to be put into this equation.  The hypotenuse(c) and the legs(a, b).  The legs would be the side NEXT to the right angle.  The hypotenuse is ACROSS from the right angle.  In this equation we are looking for the hypotenuse.  It doesn't matter which letter the legs replace just remember that the hypotenuse alway has to be C.

20^{2} +15^{2} =c^{2}

Now you have to square the numbers then add.

400+225=c^{2}

625=c^{2}

Now find the square root of 625 to get rid of the squared in the C.

c = 25

Hope this helped.

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PLS HELPPPP MEEEE I NEED WORK SHOWN TOO
Elanso [62]

The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

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7 0
1 year ago
Find the area of the shaded region
zepelin [54]

Answer:

area of a circle πr^2

r = 10/2 r = 5

π5^2 = 78.5

area of the square length X width

7 x 7 = 49

78.5 - 49 = 29.5

shaded region = 29.5 square cm

3 0
3 years ago
Read 2 more answers
Apa-bear weighs 250 lb. Mama-bear weighs 50 pounds less than Papa-bear does. Their 2 cubs weigh 80 pounds each. What is the tota
o-na [289]

Given :

Apa-bear weighs 250 lb.

Mama-bear weighs 50 pounds less than Papa-bear does.

Their 2 cubs weigh 80 pounds each.

To Find :

The total weight of the Bear family .

Solution :

Weight of mama bear = 250-50\ lb=200\ lb .

Total weight is the sum of all all weight .

W=\text{Weight of papa-bear + weight of mama-bear + weight of 2 cubs}

W=250+200+2\times 80\\\\W=250+200+160\\\\W=610 \ lb

Therefore , total weight of the Bear family is 610 lb .

Hence , this is the required solution .

5 0
3 years ago
What is 15.37×5 show work
just olya [345]
This should be quite easy to explain. So the first thing you want to do is multiply them. This isn't to hard if you know your times tables. Don't worry about the decimal till the end.

 15.37
×      5
---------
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15.37 times 5 is 76.85

Now on to the decimal. All you need to do is move it two times to the left. You see how it's in between the 5 and 3? The same goes for your answer. So it is 76.85 

I hope this helped!! ^^ I can make this a little more easier to explain if you want me to just in case, ok? 
3 0
3 years ago
Read 2 more answers
PLEASE HEKLPP<br> IF ITS RIGHT ILL GIVE BRSAINLIEST
tino4ka555 [31]

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

f(-1) = 4(1) - 1

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

h(3) = -2

Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

4 0
3 years ago
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