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Novay_Z [31]
3 years ago
9

Show that b=7 Please help i have 10 minutes to answer

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

The value of Cos(60°) is ½

Step-by-step explanation:

B)as we know

b²=a²+c²-2ac.cos(b)

b=√5²+8²-2.5.8×cos(60°)

b=√25+64-80×½

b=√25+64-40

b=√89-40

b=√49

b=7 (proven)

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Wolfrich lived in portugal and brazil for a total period of 14 months in order to learn portuguese. He learned an average of 130
maksim [4K]

Answer: he lived 9 months in Portugal and 5 months in Brazil.

Step-by-step explanation:

Let x represent the number of months he lived in Portugal.

Let y represent the number of months he lived in Brazil.

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. This means that

x + y = 14

He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. This means that

130x + 150y = 1920- - - - - - - - - - - 1

Substituting x = 14 - y into equation 1, it becomes

130(14 - y) + 150y = 1920

1820 - 130y + 150y = 1920

- 130y + 150y = 1920 - 1820

20y = 100

y = 100/20

y = 5

x = 14 - y = 14 - 5

x = 9

8 0
4 years ago
Simplify 5a-(-9)-7a-12
Ad libitum [116K]

Answer:

-2a = 0 + 3

Step-by-step explanation:

hope this helps.

8 0
3 years ago
An 8% decrease from 5 per hour is
Vikentia [17]

Answer:

4.6 per hour

Step-by-step explanation:

Decrease, means subtraction; 100% - 8% = 92%, or 0.92.

0.92(5) = 4.6 per hour

7 0
3 years ago
A rational number is defined as a ratio of two integers. Given that a ratio is a fraction, how can a decimal be a rational numbe
earnstyle [38]
Because depending on the decimal it can be converted into a fraction. for example,
0.5=1/2
7 0
4 years ago
(WILL GIVE BRAINLIEST)
Alika [10]

Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

<h3>How to determine the key features?</h3>

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

The functions are given as:

F(x)=e^{-x}\\\\\\g(x)=-\sqrt{x-4}

Using a graphing calculator:

The domain of g(x) is [4, ∞)

The range of g(x) is  [0, ∞)

The domain of f(x) is  (–∞, ∞),

The range of f(x) is  [0, ∞)

Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

8 0
3 years ago
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