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Sedbober [7]
3 years ago
12

If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?

Mathematics
2 answers:
Mashutka [201]3 years ago
7 0

Answer:

= 3.29

Step-by-step explanation:

Let call the length needs to be found is q

We have Law of Cosine:

q = \sqrt{r^{2} +r^{2} -2prcosP }

= \sqrt{6^{2}+7.2^{2}  -2*6*7.2*cos(27)}

= 3.29

The length can be found using the Law of Cosines is 3.29

Andru [333]3 years ago
5 0

Answer:

We can find side RQ

Step-by-step explanation:

In order to use the Law of Cosines:

-Two sides and the angle between them must be given to find the third side

-All three sides must be given to find an angle

In this case we are given two sides(q and r) and we are given angle P which is between them. Using this information we can come to the conclusion that side RQ is the length we can find.

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Given that g(x)=x+3 calculate g(-5)
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Note that -5 = x, plug in -5 for x

g(x) = x + 3

g(-5) = (-5) + 3

Simplify

g(-5) = -5 + 3

g(-5) = -2

g(-5) = -2 is your answer

~

6 0
4 years ago
Read 2 more answers
Please help me!
Zigmanuir [339]

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

  • (\frac{2}{3}s + \frac{5}{6}s) = 21
  • (\frac{4}{6}s + \frac{5}{6}s) = 21
  • \frac{9}{6}s = 21
  • \frac{3}{2}s=21

Step 2: Multiply both sides by 2/3.

  • \frac{3}{2}s * \frac{2}{3} = 21 * \frac{2}{3}
  • s = \frac{42}{3}
  • s = 14
8 0
3 years ago
What is the equation of this graph? Will give brainliest!
Scilla [17]
...........................

6 0
3 years ago
Read 2 more answers
Plz help!
beks73 [17]

First, you need to find the derivative of this function.  This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.  

f'(x)=3x^2-3

Now, set this function equal to 0 to find x-values of the relative max and min.

0=3x^2-3

0=3(x^2-1)

0=3(x+1)(x-1)

x=-1, 1

To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each.  We will use -2, 0, 2.

f'(-2)=3(-2)^2-3=3(4)-3=12-3=9

f'(0)=3(0)^2-3=3(0)-3=0-3=-3

f'(2)=3(2)^2=3(4)-3=12-3=9

We examine the sign changes to determine whether it is a max or a min.  If the sign goes from + to -, then it is a maximum.  If it goes from - to +, it is a minimum.  Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.

To determine the values of the relative max and min, plug in the x-values to f(x).

f(-1)=(-1)^3-3(-1)+1=-1+3+1=3

f(1)=(1)^3-3(1)+1=1-3+1=-1

Hope this helps!!

7 0
4 years ago
Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?
ad-work [718]

The <u><em>correct answer</em></u> is:

d) People per hour, because the dependent quantity is the people

Explanation:

In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that <em>gets</em> changed. In this situation, the number of people change every hour; this means the number of people <em>gets</em> changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

6 0
3 years ago
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