The decimal equivalent 3/5 is a repeating decimal true or false?
1 answer:
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Answer:
<h2>90°</h2>Step-by-step explanation:
First you must calculate the module or the magnitude of both vectors
The module of u is:
The module of v is:
Now we calculate the scalar product between both vectors
Finally we know that the scalar product of two vectors is equal to:
Where is the angle between the vectors u and v. Now we solve the equation for
the answer is 90°
Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
