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Nonamiya [84]
3 years ago
5

Please help using law of cosines!

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

∠ A ≈ 48°

Step-by-step explanation:

Using the Cosine rule to find an angle

cosA = \frac{b^2+c^2-a^2}{2bc}

with a = 10, b = 13 and c = 11

cosA = \frac{13^2+11^2-10^2}{2(13)(11)}

         = \frac{169+121-100}{286}

         = \frac{190}{286} , thus

A = cos^{-1} ( \frac{190}{286} ) ≈ 48° ( to the nearest degree )

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Find the missing length. Give all answers in the simplest radical form.​
Solnce55 [7]

Answer:

x = 2\sqrt{74}

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = \sqrt{296} = 2\sqrt{74}

8 0
2 years ago
The triangle has size with the lengths of 3 cm 13 cm and 14 cm Is it a right triangle?
WITCHER [35]

Answer:

No, it is not a right triangle

Step-by-step explanation:

Let H = 14 cm

B = 3 cm

P = 13 cm

According to pythagoras theorem:

H^2 = P^2 + B^2

14^2 = 13^2 + 3^2

196 = 169 + 9

196 is not equal to 178

Hence, it is not a right triangle

6 0
3 years ago
You don't need to construct a Venn Diagram, it is just part of the instruction. Just determine whether or not the argument is va
icang [17]

Answer:

It is valid.

Venn Diagram is attached.

I also provided a truth table.

I also provided a couple of names this argument could be called.

Please let me know if you have any questions about this question.

Thank you kindly.

Step-by-step explanation:

If a person is a poet, then that person is a loner.

If a person is a loner, then that person is a taxi driver.

If a person is a poet, then that person is a taxi drive.

This is in the form:

p->q

q->r

Therefore, p->r.

This is an example of a hypothetical syllogism.

The first thing my mind goes to when seeing this is the transitive property which says if A is related to B and B is related to C then A is related to C.

So this syllogism also has another name and it is called the principle of transitivity of implication.

Let p=person is a poet, q=person is a loner, and r=person is a taxi driver.

I'm going to make a truth table and compare the truth values of the propositions to the conclusion.

Since we have 3 variables, we are going to need 2^3=8 rows.

p     q       r        p->q    q->r      (p->q) and (q->r)        conclusion=(p->r)

T      T     T           T         T                     T                               T

T      T     F           T         F                    F                                 F

T      F     T           F         T                     F                               T  

T      F     F           F         T                     F                                F

F      F     F           T         T                    T                                 T

F      F     T           T         T                    T                                 T

F     T     F            T         F                    F                                 T

F    T     T             T         T                    T                                 T

So we are trying to see if we ever have the preposition part true and the conclusion false.

That doesn't happen so the argument is valid.

5 0
3 years ago
Help me please...!!!!!!
goblinko [34]
B would be the answer for sure
4 0
3 years ago
Read 2 more answers
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Viktor [21]

Answer:

ASA

Step-by-step explanation:

none needed [=

3 0
2 years ago
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