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bekas [8.4K]
4 years ago
8

Find the missing side. Round to the nearest tenth. Please help and show work I appreciate it

Mathematics
1 answer:
KengaRu [80]4 years ago
4 0

Answer:10.6

Step-by-step explanation:

Φ=45°

Hypotenuse=15

Opposite=x

SinΦ=opposite ➗ hypotenuse

Sin45=x/15

0.7071=x/15

Cross multiply

x=15 x 0.7071

x=10.6

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The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).
nexus9112 [7]

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

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Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

3 0
3 years ago
If a=-1,b=-6 and c=2 then what is the value of b2-4ac?​
grandymaker [24]

Answer:

-4

Step-by-step explanation:

(-6)(2)-4(-1)(2)

(-12)-(-8)

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4 0
4 years ago
Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
Stels [109]

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Answer:

  • m = j +k
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Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

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6 0
3 years ago
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Natalija [7]

Answer:

The answer is -94 but where is b

Step-by-step explanation:

2(4)-6(17)=-94

7 0
3 years ago
Find the number of tiles in the 57th figure. justify your answer using an algebraic expression
attashe74 [19]
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