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Scrat [10]
2 years ago
12

An angle measures 66.4º more than the measure of its complementary angle. What is the

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

11.8° and 78.2°

Step-by-step explanation:

let the angles be x and x + 66.4

complementary angles sum to 90° , then

x + x + 66.4 = 90

2x + 66.4 = 90 ( subtract 66.4 from both sides )

2x = 23.6 ( divide both sides by 2 )

x = 11.8 and

x + 66.4 = 11.8 + 66.4 = 78.2

The 2 angles are 11.8° and 78.2°

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A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f
tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

             = 180° - (45° + 120°)

             = 180° - 165°

             = 15°

Now we apply sine rule in ΔPQR to measure the distance between P and R.

\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}

\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

PR = \frac{12\text{sin}(120)}{\text{sin}(15)}

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

8 0
3 years ago
Find a number that is 4 more that is 4 more than 6 plus 4​
larisa [96]

Answer:

14

Step-by-step explanation:

<u>Find a number that is 4 more that is 4 more than 6 plus 4​</u>

4 more than 6 plus 4

6 + 4 = 10

4 more means 4 + (6 +4)

= 14

4 0
3 years ago
I need help!!!!!!!!!!!!!!!!!!!!!!!! ASAP
Black_prince [1.1K]

Answer:

x>4

Step-by-step explanation:

4 is less then x because, x is continuous.

8 0
3 years ago
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Which of the following is the rational exponent expression of fourth root of f?
Ivanshal [37]
That would be  f^1/4.

1/4 being the rational exponent
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3 years ago
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Find the difference 0.2−0.05
denis23 [38]

Answer:

0.15

Step-by-step explanation:

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