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2 years ago

“solve each triangle to the nearest tenth of a unit”

Mathematics

1 answer:

Hitman42 [59]2 years ago

5 0

Answer:

Step-by-step explanation:Solve each triangle. Round side lengths to the

nearest tenth and angle measures to the nearest

degree.

SOLUTION:

Use the Law of Cosines to find the missing side

length.

Use the Law of Sines to find a missing angle

measure.

Find the measure of .

ANSWER:

A ≈ 36°, C ≈ 52°, b ≈ 5.1

SOLUTION:

Use the Law of Cosines to find the measure of the

largest angle, .

Use the Law of Sines to find3. a = 5, b = 8, c = 12

SOLUTION:

Use the Law of Cosines to find the measure of the

largest angle, .

Use the Law of Sines to find the measure of angle,

Find the measure of .

ANSWER:

A ≈ 18°, B ≈ 29°, C ≈ 133°

4. B = 110°, a = 6, c = 3

SOLUTION:

Use the Law of Cosines to find the missing side

length.

Use the Law of Sines to find a missing angle

measure.

Find the measure

ANSWER:

A ≈ 48°, C ≈ 22°, b ≈ 7.6

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Angle 1 is vertical to Angle 2. Angle 1 =94, Angle 2 = 2(x-13), Find the value of x.

rodikova [14]

Answer:

x= 56

Step-by-step explanation:

86+94= 180 which if supplementary angles have to equal 180°

I don't know if you can tell but what's in red means distribute

then I added 26 on both sides with like terms

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3 years ago

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

Therefore, the correct answer is the letter C.

I hope it helps you!

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2 years ago

Please help me asap!!!!!!!

rewona [7]

9514 1404 393

Answer:

(b) Symmetric property of congruence

Step-by-step explanation:

a) The transitive property says if a=b and b=c then a=c

b) The symmetric property says if a=b then b=a

c) The substitution property says if a=b and a=c then b=c

d) The reflexive property says a=a

The property of congruence of interest here is the symmetric property.

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3 years ago