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LekaFEV [45]
3 years ago
13

Express your answer exactly

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

sin(θ) = \frac{3\sqrt{13} }{11}

Step-by-step explanation:

See the attachment.

We know that cosine is adjacent divided by hypotenuse. So since cos(θ) = -2/11, then the adjacent is -2 and the hypotenuse is 11.

Sine is opposite divided by hypotenuse. Find the opposite, which is the unlabelled side, by using the Pythagorean Theorem:

x = \sqrt{11^2-(-2)^2} =\sqrt{121-4} =\sqrt{117} =3\sqrt{13}

So, sin(θ) = \frac{3\sqrt{13} }{11}

Hope this helps!

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An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit
TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = \sigma = 50

Sample size =n

STd error of sample mean = \frac{50}{\sqrt{n} }

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16

Sample size should be atleast 385

5 0
4 years ago
Helpp pls it’s 25 points each
KonstantinChe [14]

Answer:

1.= 2.5

2.= is incorrect because there should not be more than one = sign

Step-by-step explanation:

4 0
3 years ago
What is the domain and range for the following function and its inverse?
Basile [38]

Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

f–1(x)  

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0
3 years ago
Plz help me well mark brainliest if correct...?????
galben [10]

Answer:

Option B, Shows change over time

Step-by-step explanation:

Since the slope of a line graph could be found out by the formula;

Change y / Change in x...

<u>This represents change over time</u>

Hope this helps!

8 0
3 years ago
If m= 7x and m = 3x + 20, what is the value of x? a 10 4 7 5
Ipatiy [6.2K]
Equate the expressions for m.
  7x = 3x + 20
  4x = 20 . . . . . . . subtract 3x
  x = 20/4 = 5 . . . divide by 4

The value of x is 5.
5 0
3 years ago
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