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Korvikt [17]
2 years ago
15

PLEASE HELP

Mathematics
1 answer:
babunello [35]2 years ago
7 0

The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2

Given that the softball diamond is square in shape.

Let the side of the square i.e. distance between consecutive bases is x

The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.  

Using the Pythagorean theorem we have:

x² +x²= c²,

where c is the distance from the 1st base to the 3rd base.

Combining similar terms gives us

2x²=c²

Taking the square root of both sides we have

√2x²= √c²

⇒x√2=c

⇒c=x√2

This is the expression for the distance from the 1st base to the 3rd base in terms of side length.

Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.

Learn more about the Pythagorean theorem

here: brainly.com/question/231802

#SPJ10

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jek_recluse [69]
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8 0
3 years ago
Write log√3x in expanded form.
Sedbober [7]

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

7 0
3 years ago
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –1 6 0 4
iren2701 [21]

I think you need to retype this one. The formatting makes this question difficult to understand.

8 0
3 years ago
Identify the number as real, complex, pure imaginary, or nonreal complex.<br> - 169
barxatty [35]

Answer:

real

Step-by-step explanation:

-169  is a negative integer and integers are real numbers

8 0
3 years ago
Read 2 more answers
Can someone please helppp I’m very desperate this is due tonight! Please show me how you got the answer
vazorg [7]

Answer:

4) 216

5) 216%

6) It's just like the bird's eye view of the tank, exept it's 2d.

Step by step solutions:

4) Draw a cube. Draw another cube but smaller. Label sides of the big cube 6x and the small cube x. Find the volume of each, which are 216x^3 and x^3. Divide (216x^3)/(x^3) and you get 216 times.

5) It wants percentage of big over small, so redraw the diagrams from #4 and instead of x, set x as 2. So the big sides are 12 and the small sides are 2. But you should write the sides as 2*6 and 2. Then, you calculate the volumes: 12^3 = 1728 and 2^3 = 8. Percentage of small tank over big tank would be 8/1728, but we want the opposite. We want something bigger than 1. So, we take the reciprocal and we get  1728/8 % = 216%. All along, the times was the percentage.

6) Draw a cube and draw a cube or a rectangular prism, but be warned, we don't know exactly what shape it is. Hint: just do a cube with a little exagerated side length just in case teacher is bad. OK back to this. Then, draw a line through the cube/rectangle and you get a rectangle-like shape.

7 0
3 years ago
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