Q3. The four angles of the quadrilateral are equal. Find measure of each angleQ4. The base of parallelogram is 12 cm and its height is 18 cm. Find its area.Q5. Find probability of getting a 4 by rolling a fair dice. About the author Charlie
[tex]\huge{\boxed{\boxed{\mathcal{\underline{\overline{\red{S{\green{o{\orange{l{\blue{u{\pink{t{\purple{i{\red{o{\blue{n}}}}}}}}}}}}}}}}}}}}}[/tex] Q3. [tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex] Sum of the angles of the quadrilateral = 360° Let each angles of the quadrilateral be ∠a, ∠b, ∠c, ∠d i.e., ∠a + ∠b + ∠c + ∠d = 360° But, given that all the angles are equal Therefore, ∠a = ∠b = ∠c = ∠d Substitute ∠b, ∠c, ∠d in terms of ∠a This gives, ∠a + ∠a + ∠a + ∠a = 360 4∠a = 360 ∠a = 360/4 ∠a = 90° Therefore, ∠a = ∠b = ∠c = ∠d = 90° [tex] \\ [/tex] Q4. [tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex] Area of a parallelogram = ½ x base x height Base = 12 cm Height = 18 cm Area of a parallelogram = ½ x 12 x 18 = 12 x 9 = 108 cm² [tex] \\ [/tex] Q5. [tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex] Probability of an event = P(E) = No. of favorable outcomes/Total no. of outcomes Favourable outcomes = (1,4),(2,4),(3,4),(4,4)(5,4),(6,4),(4,1),(4,2),(4,3),(4,5),(4,6) No. of favorable outcomes = 11 Outcomes = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) Total no. of outcomes = 36 Probability of getting a 4 on fair dice = 11/36 Reply
[tex]\huge{\boxed{\boxed{\mathcal{\underline{\overline{\red{S{\green{o{\orange{l{\blue{u{\pink{t{\purple{i{\red{o{\blue{n}}}}}}}}}}}}}}}}}}}}}[/tex]
Q3.
[tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex]
Sum of the angles of the quadrilateral = 360°
Let each angles of the quadrilateral be ∠a, ∠b, ∠c, ∠d
i.e., ∠a + ∠b + ∠c + ∠d = 360°
But, given that all the angles are equal
Therefore, ∠a = ∠b = ∠c = ∠d
Substitute ∠b, ∠c, ∠d in terms of ∠a
This gives, ∠a + ∠a + ∠a + ∠a = 360
4∠a = 360
∠a = 360/4
∠a = 90°
Therefore, ∠a = ∠b = ∠c = ∠d = 90°
[tex] \\ [/tex]
Q4.
[tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex]
Area of a parallelogram = ½ x base x height
Base = 12 cm
Height = 18 cm
Area of a parallelogram = ½ x 12 x 18
= 12 x 9 = 108 cm²
[tex] \\ [/tex]
Q5.
[tex] \green{ \mathfrak{ \underbrace{formula}}}[/tex]
Probability of an event = P(E) = No. of favorable outcomes/Total no. of outcomes
Favourable outcomes = (1,4),(2,4),(3,4),(4,4)(5,4),(6,4),(4,1),(4,2),(4,3),(4,5),(4,6)
No. of favorable outcomes = 11
Outcomes =
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
Total no. of outcomes = 36
Probability of getting a 4 on fair dice = 11/36
Answer:
[tex](32000) \ 3000[/tex]