In triangle ABC, what is the m

Mathematics

2 answers:

Elenna [48]2 years ago

7 0

Answer: 38°

Using cosine rule,

a² = b² + c² -2bc cos(A)

Insert values from diagram

14² = 18² + 22.8² - 2(18)(22.8) cos(A)

196 = 324 + 519.84 - 820.8 cos(A)

-820.8 cos(A) = 196 - 324 - 519.84

-820.8 cos(A) = -647.84

cos(A) = -647.84/-820.8

A = cos^{-1} (-647.84/-820.8)

A = 37.88°

A ≈ 38°

maksim [4K]2 years ago

7 0

Answer:

$\boxed {38^{o}}$

Step-by-step explanation:

Applying <u>Law of Cosines</u> :

⇒ a² = b² + c² - 2bc(cos A)

⇒ 14² = 22.8² + 18² - 2(22.8)(18)(cos A)

⇒ 820.8(cos A) = 519.84 + 324 - 196

⇒ 820.8(cos A) = 647.84

⇒ cos A = 647.84/820.8

⇒ cos A = 0.789278752

⇒ m ∠A = cos⁻¹ (0.789278752)

⇒ m ∠A = 37.88 ≈ 38°

You might be interested in

All of the following ratios are equivalent except _____. ⇅

Anni [7]

D, 8 to 12

A, B, and C are all equivalent.

4 0

3 years ago

3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.

n200080 [17]

Answer:

For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

Step-by-step explanation:

6 0

3 years ago

Two professors at a nearby university want to co-author a new textbook in either economics or statistics. They feel that if they

WARRIOR [948]

Answer:

0.3 or 30%

Step-by-step explanation:

The professors will only seek a smaller publisher if they cannot place the statistics book with a major publisher. If the probability of getting a major publisher is 40% and the probability of getting a smaller publisher is 50%, then the probability that the statistics book would wind up being placed with a smaller publisher is given by:

$P=(1-P(major))*P(minor)\\P=(1-0.4)*0.5\\P=0.3$