If cos 37 degrees is close to 4/5, which is closest to the measure of line OP?
2 answers:
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Answer:
New bed dimension of bed 0.5 ft, 0.25 ft
New bed dimension of room 1.16 ft, 1.33 ft
Step-by-step explanation:
Given data:
bed dimension is given as 6 ft by 3 ft
room dimension is given as 14 ft 16 ft
according to the given information , new dimension of the room and bed will be 1/12 times of actual dimension. therefore we have
New bed dimension of bed
= 0.5 ft, 0.25 ft
New bed dimension of room
= 1.16 ft, 1.33 ft
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is 
, the volume of a pyramid/cone is 
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.