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3 years ago

Solve this equation for y. 3x - 5y = 12

Mathematics

1 answer:

mamaluj [8]3 years ago

6 0

Answer: y= 3/5x -12/5

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What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0

3 years ago

Find the value of (3 + 4)2

elena55 [62]

Answer:

Step-by-step explanation:

We solve this by using 2 to open the bracket

(3+4)2 is the same as 2(3+4)

2(3)+2(4)

=6+8

=14

(3+4)2 is the same as 2(3+4)

So we can solve the one inside the bracket first

=2(7)=14

6 0

3 years ago

A new restaurant with 134 seats is being planned. Studies show that 62% of the customers demand a smoke-free area. How many se

zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a smoke-free area = 62%

It can also be written as $62\%=\dfrac{62}{100}=0.62$

The mean of this binomial distribution will be :-

$\mu=np\\\\\mu=(134)(0.62)=83.08$

Standard deviation:-

$\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6$

Now, the number of seats should be in the non-smoking area in order to be very sure of having enough seating there :-

$\mu+3\sigma=83.08+3(5.6)=99.88\approx100$

4 0

3 years ago

Is the order pair (-5,9) a solution to the equation y = 5x -4

s2008m [1.1K]

Answer:

Step-by-step explanation:

9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.

8 0

3 years ago

Read 2 more answers

PLS HELP! I WILL TEACH YOU HOW TO SOLVE YOU JUST HAVE TO SOLVE

Rama09 [41]

Answer:

I do not know what math curriculum this is I'm sorry

8 0

3 years ago