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kakasveta [241]
3 years ago
6

Can anyone explain this to me??

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0
You would have to find the area of each side and add it all together if you were to solve it out it would be 45+25+32+25+35+35=394
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Solve △PQR. Round function values to 4 decimal places. Round final answers to the nearest tenth.
mestny [16]

Answer:

The length of q is 7.6 units

The measure of angle R is 31.9°

The measure of angle P is 66.1°

Step-by-step explanation:

Let us use the sine and cosine rules to solve the triangle

In Δ PQR,

p is the opposite side to ∠P

q is the opposite side to ∠Q

r is the opposite side to ∠R

∵ p = 7 units

∵ r = 4 units

∵ m∠Q = 82°

- Angle Q is between p and r so let us find q using cosine rule

∵ q² = p² + r² - 2(p)(r) cos(∠Q)

- Substitute the values of p, r and ∠Q in the rule

∴ q² = (7)² + (4)² - 2(7)(4) cos(82°)

∴ q² = 49 + 16 - 56 cos(82°)

∴ q² = 57.2063

- Take √  for both sides

∴ q = 7.5635

- Round it to the nearest tenth

∴ The length of q is 7.6 units

Now let us use the sine rule to find the measures of ∠R and ∠P

∵ \frac{q}{sin(Q)}=\frac{r}{sin(R)}=\frac{p}{sin(P)}

- Let us find sin(R)

∴  \frac{7.5635}{sin(82)}=\frac{4}{sin(R)}

- By using cross multiplication

∴ 7.5635 × sin(R) = 4 × sin(82)

∴ 7.5635 sin(R) = 4 sin(82)

- Divide both sides 7.5635

∴ sin(R) = 0.5285

- Use sin^{-1} to find m∠R

∵ m∠R = sin^{-1} (0.5285)

∴ m∠R = 31.9042

- Round it to the nearest tenth

∴ The measure of angle R is 31.9°

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠P + m∠Q + m∠R = 180°

∴ m∠P + 82 + 31.9 = 180

∴ m∠P + 113.9 = 180

- Subtract 113.9 from both sides

∴ m∠P = 66.1°

∴ The measure of angle P is 66.1°

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3 years ago
URGENT. WILL MARK BRAINLIEST IF CORRECT!!!
pentagon [3]

Answer:

The answer is A

Step-by-step explanation:

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Draw the image ABC under a translation by 3 units to the left and 3 units down​
juin [17]

Answer:

so basicaly on this one bring the line down 3 units and 3 unit to the left it is really easy

Step-by-step explanation:

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31 gallons of gas cost $82.15.
Nadya [2.5K]
82.15 / 31 = 2.65 per gallon
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Brainliest + Points<br><br> Help please and explain!
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