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3 years ago

The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1

Mathematics

2 answers:

alekssr [168]3 years ago

6 0

Answer:

so a=1

Step-by-step explanation:

ax+y=5

put x=2 and y=3

2a+3=5

2a=5-3

2a=2

a=2/2

a=1

i hope it will help you

sasho [114]3 years ago

3 0

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

Putting x =2, y =3

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

Dividing both sides by 2

=> a = 1

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Answer:

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Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

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And $\angle Q \neq 90^\circ$

Given that:

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To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

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b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is 35.11 ft.

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