All categories

3 years ago

Find the length of side x I simplest radical form

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = $\sqrt{61}$

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = $(\sqrt{61})^2$ + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

You might be interested in

Which statements accurately describe the function f(x) = 3(StartRoot 18 EndRoot) Superscript x? Select three options. The domain

Studentka2010 [4]

Answer:

The domain is all real numbers.

The initial value is 3

The simplified base is $9\sqrt{2}$

Step-by-step explanation:

The given function is $f(x)=3(\sqrt{18})^x$ .

To find the initial value, we put x=0 into the function:

$f(0)=3(\sqrt{18})^0$ .

$f(0)=3(1)=3$ .

The initial value is actually 3.

The given function is an exponential function, therefore the domain is all real numbers.

The range of this function refers to all values of y for which the function is defined.

The line y=0, is the horizontal asymptote.

The range is $y\:>\:0$

The simplified base is $3\sqrt{18}=3\sqrt{9\times2}$ .

$3\sqrt{18}=3\sqrt{9}\times\sqrt{2}$

$3\sqrt{18}=3\times3\times\sqrt{2}$

$3\sqrt{18}=9\sqrt{2}$

4 0

3 years ago

Read 2 more answers

a 76 inch pipe is cut into two pieces One piece is three times the length of the other find the lengh of the shorter piece?

SOVA2 [1]

Answer:

Step-by-step explanation:

5 0

3 years ago

Fill in the gaps in this sequence: -8, -19, -30, _ , _.<br> (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .

6 0

3 years ago

Use the formula m= v 2 -v 1 x 2 -x 1 to calculate the slope of the line The slope of the line is

Anit [1.1K]

Answer: I actually do not know but i know that the answer is A.

Step-by-step explanation:

I'm smart

6 0

3 years ago

What is 136 sq km divided by 8 km?

suter [353]

The answer is 17 km

7 0

3 years ago

Find the length of side x I simplest radical form​

Find the length of side x I simplest radical form