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LenaWriter [7]
3 years ago
9

In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

<em>Value of x = 25</em>

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin(40-x)=cos(3x) ⇒

sin(40-x)=sin(90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x  +3x=90 - 3x  +3x =>

40+2x=90 =>

2x=50 =>

x = 25

<em>Now it is proven to be that,</em>

<em>x = 25</em>

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Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no mo
sveticcg [70]

Answer:

The system of inequalities is

2x+10y\leq 40

x+y\geq 5

The solution in the attached figure

Step-by-step explanation:

<u><em>The question is</em></u>

Write a system of linear inequalities.

Le

x ---> number of scarves knitted per week

y ---> number of knitted sweaters per week

we know that

Mary would like to spend no more than 40 hours per week knitting

The word "No more" means "less than or equal to"

so

2x+10y\leq 40 ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

x+y\geq 5 ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure

7 0
3 years ago
Place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference
Vilka [71]

The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

<h3>What three numbers should be placed between 12 and 60?</h3>

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,

It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.

Read more on common difference;

brainly.com/question/19601308

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2 years ago
How do I begin this problem for geometry?
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Answer:

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Step-by-step explanation:

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2n is less than or equal to -3

n is less than or equal to -1.5

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3 years ago
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