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:
Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = 
where, 
and 
are the lengths of the diagonals.
Here, 
units.
And, 
units.
Therefore, the area A = 
= 
= 216 sq. units which is the required answer.
Answer:
A) (-3,-2)
Step-by-step explanation:
Answer:
$12 a week
Step-by-step explanation:
If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.
