In June 2024
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the ratios of areas of triangles ANL, BKN and CLK to the area of triangle ABC are equal to
5/33 , 9/44 and 5/12 respectively. Find the ratio of IK : AI.
40 cm and one of its lateral edges measure 50 cm. if the height is 36.64cm and lateral surface is 916.52 centimeter squared.
1. How much concrete is needed to build the monument?
edge of 3m is fully–filled with water.
1. What is the volume of the water in m3?
A portion of water is to be removed so that water will be 7m deep.
2. What is the area at the surface of the water when it is 7m deep?
3. How much water is to be removed so that water is 7m deep?
4. How much water retained when it is 7m deep?
Prove: QS = RS
situated on opposite sides with respect to the diameter of w that passes through point K. Find the area of triangle AKB if the distances from points A and B to line l are equal to 6 and
9 respectively, and AK = 10. Round the answer to the closest integer.
1/7 respectively, and ratio IK : AI is equal to 2/7. Find the ratio of the area of triangle
ANL to the area of triangle ABC.
You want to figure out how much ice cream can fit in the cone to the right.
To do so, you have measured that the slant height (s) is 13 cm and that the diameter (d) is 10 cm.
(Hint: you may need to calculate the height first)
How much material is needed for the right triangular sail on a sailboat with a height of 4.5 m and hypotenuse of
5.5 m? Round your answer to the the nearest tenth of a meter squared.
An 11 m ladder is placed 4 m away from the wall. If Joey, who is 1.7 m tall, stood up on top of the ladder,
how high would the top of his head be in relation to the floor?
congruent, but the quadrilaterals are not. (i.e. give a counter–example
to congruence by SSSS.
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#340153 on Dec 2023