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swat32
3 years ago
8

Question 9

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

4n = 24

Step-by-step explanation:

Given

Cars = 4

Empty = 3

Occupied = 21

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If 1\ car = n

Then:

4\ cars = 4 * n

4\ cars = 4 n

This implies that there are 4n total seats

Solving further:

Occupied\ Seats + Empty\ Seats = Total

Substitute values for the above parameters:

21 + 3 = 4n

24 = 4n

Reorder

4n = 24 ---- This equation can be used to solve for n

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Would appreciate some help with this:<br><br> Verify (sinq+cosq)^2 - 1 = sin2q
Phantasy [73]

Hello from MrBillDoesMath!

Answer:

See Discussion below

Discussion:

(sinq + cosq)^2 =                                     => (a +b)^2 = a^2 + 2ab + b^2

(sinq)^2 + (cosq)^2 + 2 sinq* cosq        => as (sinx)^2 + (cosx)^2 = 1

1 + 2 sinq*cosq              (*)


Setting a = b = q in the trig identity:

sin(a+b) = sina*cosb + cosa*sinb                      

sin(2q) =                      (**)

sinq*cosq + cosq*sinq      => as both terms are identical

2 sinq*cosq


Combining (*) and (**)

(sinq + cosq)^2 = 1 + 2sinq*cosq     => (**) 2sinq*cosq =  sqin(2q)

                          = 1 +  sin(2q)

Hence

(sinq + cosq)^2  = 1 +  sin(2q)            => subtracting 1 from both sides

(sinq + cosq)^2  - 1 =   sin(2q)  

The last statement is what we are trying to prove.



Thank you,

MrB

7 0
3 years ago
What is made up of quantities and the operations performed on them
Schach [20]
Algebra is made up of quantities and the operations performed on them are addition, subtraction, multiplication and division. 
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7 0
3 years ago
Daniel worked for 2 1/3 hours and earned $18.20, how much would he make if he worked 5 1/4 hours?
sdas [7]
I hope this helps you

4 0
3 years ago
Find the sum of the complex numbers.<br> (3 + 3i) + (8 + 7i)
Misha Larkins [42]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were pr
Alborosie

Answer: There are 22.5 films were profitable.

Step-by-step explanation:

Since we have given that

Number of total films = 40

Percentage of comedies = 60%

Number of comedies is given by

0.6\times 40\\\\=24

Percentage of horror films = 40%

Number of horror films is given by

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Number of profitable comedies is given by

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Percentage of horror were profitable = 25%

Number of profitable horror films is given by

0.25\times 18\\\\=4.5

So, Total number of profitable films were

18+4.5=22.5

Hence, there are 22.5 films were profitable.

4 0
3 years ago
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