In the diagram below, O is circumscribed about quadrilateral ABCD. what is the value of x?
2 answers:
Answer:
(D)
Step-by-step explanation:
Given: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.
To find: the value of x.
Solution: It is given that circle O is circumscribed about quadrilateral ABCD such that ∠ABC=91° and ∠ADC=x-15°.
We know that the sum of opposite angles of the cyclic quadrilateral is 180°, therefore
Substituting the given values, we have
thus, the value of x is .
Hence, option D is correct.
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Given:
A combined figure of a triangular prism and a cuboid.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.
So, the volume of the cuboid is:
The volume of the cuboid is 240 cubic cm.
The area of a triangle is:
Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:
The volume of a triangular prism is:
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
Now, the volume of the given figure is:
Hence, the volume of the finished object is 320 cubic cm.
Answer:
The area of the circle is approximately <u>154</u> square meters
Step-by-step explanation:
Area of a circle formula:
given:
- diameter = 14m
- pi = 22/7