Answer: 1
13pi/2 can be simplified onto 6 pi/2, so it goes around the unit circle 6 times and left with pi/2. the coordinates of pi/2 is (0,1). the trigonometric function sin is y/r. since r is always 1 on the unit circle, the answer is the y value, in this case it is 1.

5 0

3 years ago

The following prism is made up of 27 identical

lutik1710 [3]

The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.

Step-by-step explanation:

The given is,

Prism is made up of 27 identical cubes

Step:1

Ref attachment,

Let, surface area of one of cube = 1 square units

Surface area of given prism,

In the given diagram it have 9 cube sides in each side of prism.

1 surface prism = 9 surface of cube

Surface area of given prism = 6 × Surface of prism

= 6 × 9

= 54 square units

Step:2 Check for alternative's

For removing one cube on the edge of prism,

1 surface of prim = 9 surfaces of cube

Surface area after removing cube on each side,

= 6 × 11 = 66 square units

For removing cube on corner of prism,

1 surface of prim = 9 surfaces of cube

Surface area after removing cube on corner,

= 6 × 9 = 54 square units

For removing center cube on each side,

1 surface of prim = 13 surfaces of cube

Surface area after removing cube on corer on the prism,

= 6 × 13 = 78 square units

Surface area after removing corner cube on prism = 78 square units

Result:

The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.

4 0

3 years ago

Someone help me pleaseeeeeeeee

Komok [63]

Answer:

The first option (0.80)

Step-by-step explanation:

First, we need to find all the outcomes which meet the criteria, and in this case there are 1,3,5,6,7,8,9,10. In total we have 8 outcomes that meet our criteria out of 10 outcomes,, therefore the probability of the outcome to be greater than 4 or an odd number equals...

8 / 10 = 0.8

7 0

2 years ago