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2 answers:
Answer:
Step-by-step explanation:
Notice that you are being asked to perform the product of a scalar (the number "-10" times a 2 by 2 matrix.
Such type of product requires the multiplication of each element of the matrix by the scalar "-10"
That means that the element 23 gets transformed into "-230"
The element -38 gets transformed into "380"
The element 17 gets transformed into "-170"
and lastly, the element -6 gets transformed into "60"
Such modification gets reflected in the second matrix listed among the possible answers.
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Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule: