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Mazyrski [523]
2 years ago
10

Sin(11∘)cos(19∘)+cos(11∘)sin(19∘)

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
3 0
Recall that:

sin(A + B) = sinAcosB + cosAsinB

Therefore:

sin11°cos19° + cos11°sin19° = sin(11° + 19°)

                                                   = sin30° = 0.5            

I hope this explains it.
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Which sentences highlight the protection of consumer rights? Steven and Samuel are managers in different retail stores. Steven a
miv72 [106K]

The basic consumer right includes "Right to be informed" that states the availability of information required for weighing alternatives, and protection from false and misleading claims in advertising and labeling practices.

Hence, the sentence "Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers" - justifies the definition of consumer rights.

So, this above sentence highlights the protection of consumer rights.

7 0
2 years ago
Leilah has not yet
Ivenika [448]

Answer:

40 * x - 600 = 0

Step-by-step explanation:

The first thing is to identify the variable (x) of the equation and they will be the number of days that Leilah will take to read her flashcards. Now if you need to study 600 out of 2400, it is because you have read 1800. Therefore we have to:

2400 - 1800 = 40 * x

rearranging

40 * x - 600 = 0

The above would be the equation of the situation

6 0
2 years ago
Read 2 more answers
Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Ghella [55]

Answer:  The required inequality is x+\dfrac{1}{4}x+\dfrac{3}{2}x>22. and its solution is x>8.

Step-by-step explanation:  Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

Also, Heloise has written \frac{1}{4} as many articles as Mustafa has and Gia has written \frac{3}{2} as many articles as Mustafa has.

We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper.  Also, to solve the inequality.

Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

x+\dfrac{1}{4}x+\dfrac{3}{2}x>22.

And the solution of the above inequality is as follows :

x+\dfrac{1}{4}x+\dfrac{3}{2}x>22\\\\\\\Rightarrow \dfrac{4x+x+6x}{4}>22\\\\\\\Rightarrow 11x>88\\\\\Rightarrow x>\dfrac{88}{11}\\\\\Rightarrow x>8.

Thus, the required inequality is x+\dfrac{1}{4}x+\dfrac{3}{2}x>22. and its solution is x>8.

4 0
2 years ago
Read 2 more answers
A student walks 1/4 Mile from her home to the store on her way to a friend's house if the store is 1/3 of the way to a friend's
exis [7]

the store is 1/3 the way to her friend's house, not 1/3 mile.

this explains solution:

1/3x = 1/4

x = 1/4 * 1/3

x = 3/4

Notes:

X: is the total distance.

1/3 is the one portion of total distance.

1/4 mile is the distance store.

3 0
2 years ago
by visual inspection, determine the best-fitting regression model for the data plot below. A. No pattern B. Quadratic C.Linear D
liq [111]

Answer:

C) Linear

Step-by-step explanation:

We can see from the plot that the data approach a straight line.

This means we can draw a line of best fit through this data and it should hit several data points; thus the answer is linear.

4 0
2 years ago
Read 2 more answers
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