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evablogger [386]
2 years ago
4

Emily passes a soccer ball 6.0 m directly across the field to kara. kara then kicks the ball 14.5 m directly down the field to l

uisa. what is the ball’s total displacement as it travels between emily and luisa?
Mathematics
1 answer:
kvv77 [185]2 years ago
6 0
Below is the solution:

et the position of emily be a 
<span>let the position of kara be b </span>
<span>let the position of luisa be c </span>

<span>abc is a right angled triangle, at b </span>

<span>displacement = ac </span>

<span>ac = root of ab^2 + bc^2 (pythagoras theorem) </span>
<span>= root of 6^2 + 14.5^2 </span>
<span>= root of 246.25 </span>
<span>= 15.69</span>
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Footnote: Burritos are awesome
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1 year ago
In the following diagram \overline{DE} \parallel \overline{FG}
Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

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7 0
2 years ago
"Consider the probability distribution of X, where X is the number of job applications completed by a college senior through the
Citrus2011 [14]

Answer:

Option b

Step-by-step explanation:

Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.

 Expected observed Diff

x p(x) p(x)*1000  

   

0 0.002 2  

1 0.011 11 14 -3

2 0.115 115 15 100

3 0.123 123 130 -7

4 0.144 144  

5 0.189 189  

6 0.238 238  

7 0.178 178  

   

1 1000

We find that there is a large difference in 2 job application

Hence option b is right.  

4 0
2 years ago
Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 – 16x – 12
Neporo4naja [7]

Complete question is;

Which of the number(s) below are potential roots of the function? p(x) = x⁴ + 22x² – 16x – 12

A) ±6

B) ±1

C) ±3

D) ±8

Answer:

Options A, B & C: ±6, ±1, ±3

Step-by-step explanation:

We are given the polynomial;

p(x) = x⁴ + 22x² – 16x – 12

Now, the potential roots will be all the rational numbers equivalent of p/q.

Where;

p are the factors of the constant term of the polynomial

q are the factors of the leading coefficient of the polynomial

Now, in the given polynomial, the constant term is seen as -12 while leading coefficient is 1 which is the coefficient of x⁴.

We know that factors of 12 are any of:

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While possible factors of 1 is just ±1.

Thus, all the potential roots of the polynomial function are;

±1, ±2, ±3, ±4, ±6 and ±12

From the options given, option A, B & C could be the potential roots.

6 0
2 years ago
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