Abaseball diamond is a square with sides that are 27.4 m. the pitchers mound is 18.4m from homeplate on the line joining hommeplate and second base. how far is it from the pitchars mound to first base

  19.4 m

Step-by-step explanation:

The law of cosines can be used to figure this. The angle between the line to the pitcher's mound and the first-base line is 45°, so the distance (d) from the mound to first can be found from ...

  d² = 18.4² +27.4² -2·18.4·27.4·cos(45°) ≈ 376.33

  d ≈ √376.33 ≈ 19.4 . . . . meters

It is about 19.4 meters from the pitcher's mound to first base.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.