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Sergeeva-Olga [200]
3 years ago
11

Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2

+ c2 – 2bccos(A) What is the measure of AngleP to the nearest whole degree? 35° 52° 57° 72°

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

P = 57°

Step-by-step explanation:

Given the following :

PQ = 17

QR = 15

PR = 14

Using the cosine formula since the length of the three sides are given:

a2 = b2 + c2 – 2bccos(A)

To find P:

QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)

15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)

225 = 289 + 196 - 476 cosP

476*CosP = 485 - 225

476*CosP = 260

CosP = 260/476

CosP = 0.5462184

P = Cos^-1(0.5462184)

P = 56.892029

P = 57°

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Make a conditional relative frequency table for The Columns of movie type. Determine which statement has the strongest associati
Vikentia [17]

Answer: Option A.

Step-by-step explanation:

The association can be found as the quotient between the elements with a given characteristic and the total number of elements.

For example, in option A we have:

A. Females prefer drama movies.

There are 72 females who like drama movies, and there is a total of 126 females, the quotient is:

Q = 72/126 = 0.57

This is the relative frequency of females who like's drama movies

Then the relative frequency table will be something like:

Males:

who prefer comedy: Q = 45/125 = 0.36

who prefer drama: Q = 15/125 = 0.12

who prefer thriller: Q = 65/125 = 0.52

Females:

who prefer comedy: Q = 36/126 = 0.29

who prefer drama: Q = 72/126 = 0.57

who prefer thriller: Q = 18/125 = 0.14

Now we want to answer, which one of the given options has the strongest association.

As larger is the value Q, larger is the association.

We can clearly see that, from the given options, the strongest association is for females who prefer drama, then the correct option is A.

6 0
3 years ago
Pls help me!! this is for a study guide :)
inn [45]

Answer:

x° = 149°

Step-by-step explanation:

According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:

m < 86° + m < 63° + m < (angle 3) = 180°

149° + m < ? = 180°

Subtract 149° from both sides to solve for m < (angle 3)

149° - 149° + m < (angle 3)   = 180° - 149°

m < ?   = 31°

Therefore, the measure of the third angle is 31°.

To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

In other words, the measure of x° = m < 86° + m < 63°

x° = 149°

By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:

x° + m < (angle 3) = 180°

149° +  31° = 180°

6 0
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Find the sum of the measures of the interior angles of a polygon with 41 sides
Zolol [24]

Answer:

the formula is (n-2)180 degrees

so its 7020

8 0
2 years ago
What is 3 2/5 x 2 1/3 ?
Hitman42 [59]
3 2/5 x 2 1/3 rewrite

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5 0
3 years ago
Read 2 more answers
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