All categories

2 years ago

I need help with no.7

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

Answer:

(a) 315°

(b) 3°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

The bearing of P from R is 180° different from the bearing of R from P it will be ...

135° +180° = 315° . . . . bearing of P from R

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

315° +48° = 363°, or 3° . . . . bearing of Q from R

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

135° -77° = 58°

As above, the reverse bearing from Q to P is ...

58° +180° = 238° . . . . bearing of P from Q

You might be interested in

Niko got the jumbo ice cream cone at the Dutchess County Fair. The amount of ice cream can be modeled using a cone whose height

motikmotik

85 over 320 of a cup

6 0

3 years ago

Read 2 more answers

Liam sarah and Emily share some money in the ratio 2:3:7 Emily got £80 more than liam how much money did sarah get

sergey [27]

Sarah got £48, Liam got £32, and Emily got £112

3 0

3 years ago

Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular

Nat2105 [25]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{2}{5}$ x + 3 ← is in slope- intercept form

with slope m = - $\frac{2}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{5} }$ = $\frac{5}{2}$

5 0

3 years ago

(a) The lake behind a dam has an area of 55 hectares. When the gates in the dam are open, water flows out at a rate of 75 000 li

GaryK [48]

Answer:

a) The diagram shows a hemisphere with radius 6 cm.

Calculate the volume.

Give the units of your answer.

(The volume, V, of s sphere with radius r is V = 4/3πr³)

b). The diagram shows a prism ABCDEF.

The cross-section is a right angled triangle BCD. BD = 10 cm, BC = 5.2 cm and ED = 18 cm.

(i) a) Work out the volume of the Prism.

b) Calculate the angle BEC

c) The point G lies on the line ED and GD = 7 cm. Work out angle BGE

(Cambridge Assessment International Education. 0580/42, October/November 2019, Q 4)

(a)

(b)(i)a

(b)(i)b

(b)(i)c

2. The diagram shows a sector of a circle of radius 3.8 cm.

The arc length is 7.7 cm.

(i) Calculate the value of y.

(ii) Calculate the area of the sector.

(Cambridge Assessment International Education. 0580/42, May/June 2019, Q 8b)

(i)

(ii)

7 0

2 years ago

I NEED HELP PLEASE!!!!!!!

Nostrana [21]

1) 7 hours and 33 minutes
2) 28
3) y = 7
4) a times a times a times a

7 0

2 years ago