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KengaRu [80]
2 years ago
9

Can anyone help me with this not very good with math thank you if you help lol

Mathematics
2 answers:
Setler79 [48]2 years ago
8 0
4) $1.50
5) 4.5 miles
rusak2 [61]2 years ago
4 0

the answer to #5 is 4.5

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The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
What is the distance between (8, -3) and (4, – 7)?
Dahasolnce [82]

Answer:

4

Step-by-step explanation:

using

\sqrt{(x2 - x1) + (y2 - y1)}

\sqrt{(8 - 3) + (4  - ( - 7)}

\sqrt{5 + 11}

\sqrt{16}

= 4

7 0
3 years ago
Read 2 more answers
What is the answer to this eqaution 20 ÷ 15/16
stepladder [879]

Answer:

21 1/3

Step-by-step explanation:

20 ÷ 15/16=

20/1 ÷ 15/16=

20/1*16/15=

4/1*16/3=

64/3=

21 1/3

3 0
2 years ago
Can someone please help me
anyanavicka [17]

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144

5 0
3 years ago
3. Escribe el valor absoluto de los siguientes números:
Allisa [31]

Answer:

Może być odpowiedź c ja ne wiem

6 0
2 years ago
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