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Greeley [361]
3 years ago
6

John and Andrew have £3.40 between them. John has £1.20 more than Andrew. John has £u and Andrew £v

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
In the given question, there are several information's of immense importance and they can be used to find the necessary answers. It is already given that John and Andrew have 3.40 pound together. It is also given that John has 1.20 pound more than Andrew. It is also assumed that John has"u" pound and Andrew has "v" pounds.
Then we can write the two equations as
u + v = 3.40
u = v + 1.20
To find the values of u and v, we can replace the u in the first equation with the value of u in the second equation. Then
u + v = 3.40
(v + 1.20) + v = 3.40
2v + 1.20 = 3.40
2v = 3.40 - 1.20
2v = 2.2
v = 2.2/2
  = 1.1
Now we replace the value of v in the first equation to find the value of u.
 u + v = 3.40
u + 1.1 = 3.40
u = 3.40 - 1.1
u = 2.3
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Pls solve part b) iii thanks
Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees

Read more about bearings at:

brainly.com/question/24142612

#SPJ1

4 0
2 years ago
How do u solve this step by step and also pls don’t answer unnecessarily
kari74 [83]
You have to have one side equal x so I’ll solve one from each section

e) x = 2

5x = 12 - x
add x to both sides
6x = 12
divide both sides by 6
x = 2

k) x = 3

15x + 4 = 10x + 19
move the 4 to the other side by subtracting on both sides
15x = 10x + 15
subtract 10x from both sides
5x = 15
divide by sides by 5
x = 3
6 0
2 years ago
Read 2 more answers
Can someone please help me with math? A tutor or someone to break things down.
charle [14.2K]
Ok Juvia is here for the job.
7 0
3 years ago
One-third less than six
VladimirAG [237]

Step-by-step explanation:

1/3-6

Lcm=3

(1-18)/3

-17/3

-5 2/3

3 0
3 years ago
Read 2 more answers
A) what percent is the 10 cm length of 8cm length?
Hatshy [7]
125 percent you divide 10 by 8 and get 1.25 then moved the decimal point to the right two spots
5 0
3 years ago
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