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m_a_m_a [10]
3 years ago
7

A base ball diamond is square.The distance from home plate to first base is 90 feet.what is the distance from home plate to seco

nd base?
127

81

19

13
Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Because it is square, the distance from home to first base is the same as first base to second base.


Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.


Using the Pythagorean Theorem we can solve for the hypotenuse:

Let C = the hypotenuse:

90^2 + 90^2 = c^2

8100 + 8100 = c^2

16200 = c^2

c = √16200

c = 127.279 feet, round to 127 feet.


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1/3 of students at a school are boys. If there are 600 students at the school, how many are girls?
Temka [501]

Answer:

200 students are boys and rest of 400 are girls

Step-by-step explanation:

Given that:

Total students = 300

1/3 students of total are boys

so.

Boys = 1/3(600)

Boys = 200

For finding number of girls:

Girls = total - boys

Girls = 600 - 200

Girls = 400

i hope it will help you!

8 0
3 years ago
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Figure A is a scale image of Figure B, as shown.
Inessa [10]

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

<em>Additional comment</em>

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

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5 0
3 years ago
What percent of a is b?<br> Please put your answer in percent.
just olya [345]

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

4 0
3 years ago
The what of a two dimesional figure can be any side
GalinKa [24]

Answer:

Definition. A shape that only has two dimensions (such as width and height) and no thickness. Squares, Circles, Triangles, Hexagon, Rhombus etc are two dimensional objects. Also known as "2D".

6 0
3 years ago
. The sandwich shop offers 8 different sandwiches. Jamey likes them all equally. He picks one randomly each day for lunch. Durin
Margarita [4]

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then  X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability \dfrac{5}{8} (5-x-y-z)

So. these x days, y days and z days can be arranged within five days in

= \dfrac{5!}{x!y!z!(5-x-y-z)!}

Thus;

P[X=x,Y=y,Z=z]=  \dfrac{5!}{x!y!z!(5-x-y-z)}  \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

5 0
3 years ago
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