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Lena [83]
3 years ago
10

A regulation girls fast pitch softball diamond has bases that are 60 feet apart. A regulation professional baseball diamond has

bases that are 50% farther apart. Label the distance between the bases
Mathematics
1 answer:
umka21 [38]3 years ago
6 0
The regulation bases are 50% further apart than the girls softball diamond bases. The girls softball diamond bases are 60ft, so if you take 50% of that (half of it), which is 30 feet, and add that to the 60, that becomes 90ft. There's your answer. Another way of looking at it is to say that 60ft is one whole, and that added 50% is a half. So, the regular diamond bases are 1.5 times further from each other. 60×1.5 = 90.
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Evaluate Cot0 if sin0= square root of 6/5
Lina20 [59]
To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
6 0
3 years ago
A rectangle has a width of 5 cm and a length of 10 cm. If the width is increased by 3, how does the perimeter change?
wariber [46]

Answer:

The new perimeter would be 36cm.

Step-by-step explanation:

The perimeter would change because you add 3 to two sides, because the perimeter originally was 5+5+10+10. Now, it's (5+3)+(5+3)+10+10. Which is 36.

4 0
3 years ago
Read 2 more answers
The game of American roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wh
solong [7]

Answer:

a)- \frac{1}{19}

b) SD(x) =  0.9986

Step-by-step explanation:

Given data:

Number of slots 38

slots for red ball 18

slots for black = 18

slots for green 2

outcomes       Red      Black or Green

Profit                  1                 -1

P(X)                   18/38       20/38

Expected value of wining,  

E(x) = 1. \frac{18}{38} + (-1) \frac{20}{38} = - \frac{2}{38} = - \frac{1}{19}

B) Standard deviation of winning SD(x)

SD(x) = \sqrt{(1- (-\frac{1}{19})^2 .\frac{18}{38} + (1- (-\frac{1}{19})^2 .\frac{20}{38}}

SD(x) = \sqrt{\frac{360}{361}

SD(x) =  0.9986

3 0
3 years ago
Which polynomial is in standard form?
Elina [12.6K]

the

first equation is the answer of this question.

explanation

where the xy is in sequence so it is the standard form of polynomial

8 0
2 years ago
Simplify 3(6g+2) -5g
tresset_1 [31]

Answer:

13g +6

Step-by-step explanation:

3(6g+2) -5g

Distribute

18g +6 - 5g

Combine like terms

13g +6

4 0
3 years ago
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