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Elanso [62]
2 years ago
7

I need help with #11 and #17 PLEASE​

Mathematics
1 answer:
shutvik [7]2 years ago
5 0

Answer:

11.   ∠B    ∠ABC     ∠CBA     ∠2

17.    QR = 12

Step-by-step explanation:

11.   ∠B    ∠ABC     ∠CBA     ∠2

17.    Given:  PS = 18     PR = 15      PQ ≅ RS

       It would be good if you could draw a picture for yourself

So, RS  = PS - PR

             = 18 - 15 = 3

       RS = PQ = 3

        QR = PS - RS - PQ

              = 18 - 3 - 3

              = 12

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Pls help me with this!
joja [24]

Answer:

A = 78.5 cm²

Step-by-step explanation:

Area = π · radius²

if diameter is 10 then radius is 5

A = 5²·π

A = 25 × 3.14

A = 78.5 cm²

6 0
2 years ago
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
3 years ago
Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 p
il63 [147K]

9514 1404 393

Answer:

  • $10,000 at 5%
  • $22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

6 0
3 years ago
HELP PLEASE!!!!!!!!!​
Rudiy27

Answer:

15 hight and 6 langth

Step-by-step explanation:

its just u measure the hight and the langht is half of 12

5 0
3 years ago
2 3/7 + (-1 3/4) i need help please
julsineya [31]

Answer:

1/28

Step-by-step explanation:

7 0
3 years ago
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