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Scilla [17]
3 years ago
9

The length of a regulation soccer field is 110 meters. The diagonal length of the same soccer field is about 133.14 meters. Abou

t how wide is the regulation soccer field?
A. 23.14 meters
B. 243.14 meters
C. 172.7 meters
D. 75 meters​
Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.

We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.

We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.

From there subtracting 12100 from both sides gives b²=5626.2596.

Square rooting b isolates it, leaving b=75.0083969.

Since the value of the diagonal was approximate, this can be assumed the b is 75m.

**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

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2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of the
Gekata [30.6K]
  • They lose 33% of games i.e 0.33
  • They win 67% of games i e 0.67

So

  • P(A)=0.33
  • P(A')=0.67

Now

  • They win from 15games=10
  • They lose=5

The required probability

\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}

\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}

\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}

\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}

\\ \rm\rightarrowtail 0.00007098(3003)

\\ \rm\rightarrowtail 0.213

So probability

  • 0.213(100)=21.3%

Option B

3 0
2 years ago
Read 2 more answers
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after w
nadya68 [22]

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

4 0
3 years ago
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The perimeter of this figure is 42.5 cm. Find the area of this figure.
11111nata11111 [884]
The picture in the attached figure

let
AB=x

we know that
perimeter of the figure=10*x
perimeter=42.5 cm
so
42.5=10*x
x=42.5/10
x=4.25 cm

area of the figure=area of rectangle +area of square
area of rectangle=4.25*(4.25*3)----> 54.1875 cm²
area of square=4.25²----> 18.0625 cm²

area of the figure=54.1875+18.0625-----> 72.25 cm²

the answer is
72.25 cm²

3 0
3 years ago
HELPPPPP!! Last attempt
Zina [86]

Answer: is very simple 26

Step-by-step explanation:

multiply and then divide the both numbers

7 0
3 years ago
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Do I need to put parentheses in this? Why it why not?
Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. <u>People solve using the order PEDMAS</u>:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are <u>no parentheses</u> or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95     Multiply first

= 12 + 0.95       Now add

= 12.95         Answer without parentheses

If you add <u>parentheses around 4 + 0.95</u>, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95)       Add inside parentheses

= 3 X (4.95)       Now multiply

= 14.85           Answer with parentheses

If you added <u>parentheses around 3 X 4</u>, the answer would not change, because you still multiply first.

(3 X 4) + 0.95      Solving parentheses first

= 12 + 0.95       Add

= 12.95          Answer same as original

3 0
3 years ago
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