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2 years ago

What is the measure of the missing length? Round to the nearest tenth.

Mathematics

2 answers:

labwork [276]2 years ago

5 0

Answer:

Maybe 12…

Step-by-step explanation:

would it be 12? I really don’t know sorry.
If I get it wrong I can just have a question and post it and you can get some points.

max2010maxim [7]2 years ago

4 0

Pythagoras' theorem states that: a² + b² = c². To solve for c , take the square root of both sides to get c = √(b²+a²)

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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

two verticies of paralellogram ABCD are A(-6,-1) and B(-5,3). The intersection of the diagonals, E, are (-2, 1/2). Determine the

masya89 [10]

Answer:

D(2,2)

Step-by-step explanation:

The diagonals of a parallelogram gram bisects each other.

Therefore E is the midpoint of AD.

Let the coordinates of D be (a,b).

By the midpoint rule:

$( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}) = ( - 2, \frac{1}{2} )$

This implies that:

$( \frac{ - 6+a}{2} ,\frac{ - 1+b}{2}) = ( - 2, \frac{1}{2} )$

This implies that:

$( \frac{ - 6+a}{2} = - 2 ,\frac{ - 1+b}{2} = \frac{1}{2} )$

$( - 6+a =- 4 , - 1+b = 1 ) \\ ( a =- 4 + 6 , b = 1 + 1 ) \\ ( a =2 , b =2 )$

7 0

3 years ago

Please help answer and explanation im very confused.

Veseljchak [2.6K]

Answer:

1) 18m²

2) 25cm²

Step-by-step explanation:

a = ½ × b × h
a = ½ × 9 × 4
a = ½ × 36
a = 18m²

a = ½ × b × h
a = ½ × 10 × 5
a = 5 × 5
a = 25 cm²

6 0

2 years ago

9) Which point is a solution to the equation 3x + 2y = 9?<br> A. (0,4) B. (4,0) C. (1,3) D. (3, 1)

7nadin3 [17]

Answer:

c. (1, 3)

Step-by-step explanation:

The coordinates that best suite the equation, given it the answer.

4 0

2 years ago

Find the whole number equal to the fraction below. Enter your answer in the<br> space provided.

zepelin [54]

Answer:

$\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}$

6/2 ÷ 2/2 = 3/1

3 ÷ 1 = 3

Answer: 3

#CarryOnLearning

4 0

2 years ago