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Sauron [17]
3 years ago
8

Artificial turf on athletic fields was first introduced in the 1960’s. It’s safety has been controversial since then. One issue

that has been investigated is wether injuries of football players tend to be more serious on artificial turf instead of grass. A study followed 24 NCAA division 1A college teams over 3 seasons.
In total, there were 1,050 injuries that occurred on field turf. Of the field turf injuries, 83.3333% were minor, and 10.857% were substantial. 77.972% of grass injuries were minor. 4.26% of injuries occurred on grass and were severe. How many injuries were severe and occurred on field turf? How many injuries were severe?

Mathematics
2 answers:
lord [1]3 years ago
4 0
1st question is 61 and second question is 573

Westkost [7]3 years ago
3 0
1st question-- 61
2nd question--157
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Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
3 years ago
The Great Wall is more than 20,000 kilometers long about 3/4 of it is considered properly preserved
yaroslaw [1]
97. The great wall is more than 20 000 kilometers long. And about ¾ of it is considered as properly preserved. I guess you are asking about the value of ¾ which is properly preserved in the said length of the great wall. => ¾ = 0.75 Thus, the formula would be like this: => 20 000 * .75 = 15 000 Thus, the ¾ value of great wall that is preserved is equals to 15 000 kilometers long,
7 0
3 years ago
Can someone please help me with question 4
bazaltina [42]
Yes what is the four question
4 0
3 years ago
Help I’m very confused and was wondering if anyone is willing to help.
beks73 [17]

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

5 0
2 years ago
Julia helped serve holiday meals to 47 families. Each family averaged 5 family members. If she served 255 pounds of food, how ma
belka [17]
47 * 5 = 235 Then you divide that by 255 so . 235/255 = <span>0.92156862745. But when you shorten the answer Each family got around 0.92 pounds of food </span>
8 0
3 years ago
Read 2 more answers
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