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rodikova [14]
2 years ago
15

Homework - Pure Year 1 - Chapter 11B

Mathematics
1 answer:
ycow [4]2 years ago
5 0

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

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What’s the answer to 8-10?
vovangra [49]

Answer:

-2

Step-by-step explanation:

When you have equations with smaller number subtracting bigger numbers, it means that you are always going to end up with a negative answer. So if you do 10-8 it would just be 2, but if you flip it , it will be a negative so the the answer would be

8-10= -2

Hope that helped or it probaly just made you more confused lol

4 0
3 years ago
Given that f ( x ) = 5 x − 5 and g ( x ) = 4 x , evaluate g ( g ( − 2 ) )
Stels [109]

Answer:

g(g(-2))

g(-8)

-32

This is the correct solution

8 0
3 years ago
3w + 2 = 7w Please help
mash [69]
3w +2 =7w
-3w       -3w
2=4w
Divide each side by 4
1/2=w

Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)

Hope this helps.
8 0
3 years ago
Read 2 more answers
Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)
Savatey [412]

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}

Where:

a = 1\\b = -7\\c = -10

We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

6 0
3 years ago
The probability of rain =0.2, sun=0.3,cloud=0.5. What is the probability of rain and sun over a two day period?
svp [43]

Answer:

0.2752512

Step-by-step explanation:

The formula you are looking for is the binomial probability:

               

                n!

P (X) = ------------    * (P)^X  * (q)^n - X

           (n- X)! X!    

For your particular problem:

n=7

X=2

 

q = 1-p = .8

7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512

Hope this helps, have a nice day/night! :D

6 0
2 years ago
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