All categories

2 years ago

Find the value of x.

Mathematics

1 answer:

Andrew [12]2 years ago

8 0

Answer:

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

You might be interested in

(24 points)

Lera25 [3.4K]

The distance between them is 8 feet. Don't know if it needs to be negative.

5 0

2 years ago

Read 2 more answers

Five children have £23.09 altogether. Three children have between £5 and £6,and 2 have between £3 and £4. How much could they ea

Yanka [14]

There are several possible answerschild 1=5.50
child 2=5.03
child 3=5.06
child 4=3.99
child 5=3.51

3 0

2 years ago

Read 2 more answers

Haley spent 1/2 hour playing on her cell phone that use 1/9 of her battery how long does she have to play on her phone to use th

grandymaker [24]

Answer:

4 1/2 hours.

Step-by-step explanation:

If 1/2 an hour only used up 1/9 of her battery, 9, 1/2 would give us 9/2, which if you simplified it gets you 8 1/2 hours. Hope this helps! Have a great day!

4 0

2 years ago

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

2 years ago

An aeroplane has y seats. If all the seats are occupied and x people get off how many seats are still there

maxonik [38]

We need more context

4 0

2 years ago

Read 2 more answers