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3 years ago

without building a model tell whether a long row of 8 cubes or a cube made from 8 would have a greater volume. explain

1 answer:

7 0

I'm presuming that the 'large cube' is made from 8 cubes the same size as the 8 cubes in the long row. They both have the same volume, the only difference between them is that they are arranged in a different order. Hope this helps. If not feel free to ask again and give more information.

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What are the exact values of sin(2π3radians) and cos(2π3radians)

topjm [15]

We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2

4 0

3 years ago

Which function is represented by the graph

tatyana61 [14]

It’s the forth one

The answer is -|x-4|.

4 0

4 years ago

Read 2 more answers

Which of the following statements must be true about the diagram? Check all that apply.

Ray Of Light [21]

Answer:

x + y = w

w > x

w > y

Step-by-step explanation:

x and y are interior angles of a triangle.

w is the exterior angle ( opposite to angles x and y ) of a triangle.

There is a formula that exterior angle of a triangle is equal to sum of two interior angles of a triangle.

So,

x + y = w

If x + y = w,

Then,

w > x

w > y

6 0

2 years ago

When constructing an equilateral triangle,

Fofino [41]

Answer:

Connect the intersections of the diameters and the circle with a segment

Step-by-step explanation:

Assuming the construction creates two orthogonal diameters, their ends will be the vertices of the inscribed square. Connecting them with segments in order around the circle will create the square.

7 0

4 years ago

Read 2 more answers

Think about a standard deck of 52 playing cards. Which of the following events is mutually exclusive?

Shtirlitz [24]

Answer:

1.) Drawing a king or a queen.

Step-by-step explanation:

1.) Drawing a king or a queen.

You cannot get a king and a queen at the same time= mutually exclusive

2.) Drawing a club or a black card.

King of clubs is both a club and a black card

3.) Drawing a king or a heart.

king of hearts is both a heart and a king

4.) Drawing a face card or a heart

queen of hearts is a heart and a face card

7 0

3 years ago