All categories

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 10 14

Mathematics

1 answer:

abruzzese [7]2 years ago

5 0

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

You might be interested in

What is the messure of ABC

PolarNik [594]

B. would be your answer, 118

6 0

2 years ago

Determine whether the equation defines y as a function of x. x+y=9 and x^2+y^2=1 and x=y^2

Murrr4er [49]

Answer:

Function: $x+y=9$

Not Function: $x^2+y^2=1$ and $x=y^2$

Step-by-step explanation:

Given

$x+y=9$

$x^2+y^2=1$

$x=y^2$

Required

Determine if $y$ is a function of $x$

Solving x+y=9

$x+y=9$

Make y the subject of formula

$y = 9 - x$

Hence; y is a function of x

Solving $x^2+y^2=1$

$x^2+y^2=1$

Subtract x² from both sides

$y^2=1 - x^2$

Square root of both sides

$y =\± \sqrt{1 - x^2}$

This implies that

$y =\sqrt{1 - x^2}$ or $y =-\sqrt{1 - x^2}$

Because $y$ can be any of those two expressions, it is not a function.

Solving $x=y^2$

$x=y^2$

Reorder

$y^2 = x$

Take square roots

$y = \±\sqrt{x}$

This implies that

$y = \sqrt{x}$ or $y = -\sqrt{x}$

Because $y$ can be any of those two expressions, it is not a function.

4 0

2 years ago

I need help I dont quite understand it

tigry1 [53]

X=3

Explanation :-
20/5=4
8/2=4
They are both 4 so you will do
(5x-11)=4
-11+11=0
4+11=15
5x=15
15/5=3
x=3
Hope it helps

5 0

2 years ago

Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s

aniked [119]

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

3 0

2 years ago

Find the value of x. Round your answer to nearest tenth.

victus00 [196]

Answer: 27.3 degrees

cos x = 16/18

x = arccos(16/18)

x = 27.3 degrees

4 0

2 years ago

Read 2 more answers

Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​

Find the length of the third side. If necessary, round to the nearest tenth. 10 14