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olga55 [171]
2 years ago
5

Find m< x (Type the number answer)

Mathematics
1 answer:
pogonyaev2 years ago
4 0

Answer:

<em>x=74.73°</em>

Step-by-step explanation:

<u>Law of cosines</u>

In a general triangle, the law of cosines relates the lengths of the sides of the triangle to the cosine of one of its angles.

The law of cosine is expressed as:

\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos x

Where a and b are the lengths of two sides of the triangle, x is the angle contained between them, and c is the other side length.

If all side lengths are known, we can solve the above equation for the angle x:

\displaystyle x =\arccos \left({\frac {a^{2}+b^{2}-c^{2}}{2ab}}\right)

From the image, we must select a and b as the sides adjacent to angle x in any order. Thus a=17, b=22, c=24. Substituting:

\displaystyle x=\arccos \left({\frac {17^{2}+22^{2}-24^{2}}{2(17)(22)}}\right)

Operating:

\displaystyle x=\arccos \left({\frac {289+484-576}{748}}\right)

\displaystyle x=\arccos \left({\frac {197}{748}}\right)

Using a scientific calculator:

x=74.73°

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Multiple Choice: Please select the best answer.
Liula [17]
A is your answer. Hope I helped.
3 0
3 years ago
Please help me on this
Diano4ka-milaya [45]

Answer: Option A.

Step-by-step explanation:

The angle ∠QST and the angle ∠QSR are supplementary.

If two angles are supplementary, means that the sum of both angles is 180 degrees.

Thenrefore

QST+QSR=180\°

Solve for the angle ∠QSR and substitute the value of the angle ∠QST  to find the value of the angle ∠QSR. Then, solving the equation, you get:

QSR=180\°-QST\\QSR=180\°-150\°\\\\QSR=30\°

Then tan(QSR) is:

tan(30\°)=\frac{\sqrt{3}}{3}

This matches with the option A.

7 0
2 years ago
Luke was out of cereal for breakfast. He walked to the grocery store to buy his favorite, Honey Nut Cheerios. While looking at t
Stells [14]

Answer:

The answer is the family size

Step-by-step explanation:

I had to find how much it is per ounce and for the small box it cost $1.25 per ounce and for the family size it cost $0.41 which is less than $1.25 so the answer would be the family size of Honey Nut Cheerios

3 0
2 years ago
Read 2 more answers
Use the graph to determine the domain and range of the relation, and whether the relation is a function
ohaa [14]
The answer is C. The domain is all points between -8 and 8 since it keeps waving back and forth. The range is all real numbers the graph continues on forever. And it is not a function because it does not pass the vertical line test
6 0
3 years ago
The number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name. If the numbe
Anestetic [448]

Answer:

19 letters

Step-by-step explanation:

Suppose Number of Amy's full name letters = X

               Number of Stephanie's full name letters = Y

Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',

Equation 1 becomes

Y = 2X-16

Now, according to second condition, product of their names' letter is 418. So,

Equation 2 becomes

XY = 418

Deducing value of X from equation 1,

X = (Y+16)/2

Putting this value in equation 2 we get,

{(Y+16)/2}*Y = 418,

By simplifying this equation we get a quadritic equation

(Y^2)+16Y-836=0

By breaking middle term (You can use quadratic formula here as well)

(Y^2)+38Y-22Y-836=0

Y(Y+38)-22(Y+38)=0

(Y-22)(Y+38)=0

At this stage we have two values for Y,

Y=22, or Y=-38

Now considering only positive value since the number of letters in a name can not be in negative number,

Y=22,

So X=(Y+16)/2

X=19

7 0
3 years ago
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