.Triangle ABC is right angled at B,  AB= 8 cm, BC = 15 cm, find AC​

[tex]\large\underline{\sf{Solution-}}[/tex]

Let us assume that:

[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]

Squaring both sides, we get:

[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]

[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]

By splitting the middle term:

[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]

[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]

[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]

Therefore:

[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]

[tex] \sf \longmapsto x = - 2,3[/tex]

But x cannot be negative.

[tex] \sf \longmapsto x = 3[/tex]

Therefore, the value of the expression is 3.

[tex]\large\underline{\sf{Verification-}}[/tex]

Given:

[tex]\sf\longmapsto x=3[/tex]

We can also write it as:

[tex]\sf\longmapsto x = \sqrt{9}[/tex]

[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]

This pattern will continue.

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]

Answer:

$39.20

Step-by-step explanation:

$49 * (1-.2) = $39.20

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given expression.

[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]

We know that:

[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]

[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]

Therefore, the expression becomes:

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]

[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]

[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \rm = \sec(x) - \tan(x) [/tex]

[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]

see the attachment!!

hope it helps

#carryolearning

Step-by-step explanation:

[tex] \frac{3}{8} \times \frac{1}{2} [/tex]

3×1= 3

---

8×2=16

thus your answer is

[tex] \frac{3}{16} [/tex]

Hope this helped you- have a good day brocya)

Answer:

[tex]\frac{3}{16}[/tex]

Step-by-step explanation:

Hey there,

[tex]\frac{3}{8} *\frac{1}{2} \\[/tex]

[tex]\frac{3*1}{8*2}[/tex]

[tex]\frac{3}{16}[/tex]

Hope this helps you.

Let me know if you have any other questions:-)

Answer:

1.8(3) (three is a repeating number)

Step-by-step explanation:

Divide the numerator from the denominator. Add the value of the integer part.

Answer:1.83

Step-by-step explanation:

so the  1 that's a whole number and 5 out of 6 should be around 82-85 but for real its 1.83 but its a repeating decimal so its like 1.83333

Answer:

2.5

Step-by-step explanation:

Using compound interest, it is found that he must deposit $56,389.

Compound interest:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

In this problem:

Then:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]

[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]

[tex]P = 56389[/tex]

He must deposit $56,389.

A similar problem is given at https://brainly.com/question/25263233

Answer:

13 days

Step-by-step explanation:

Amount of book left = 100% - 35% = 65%

If 35% requires 7 days,

65% requires x days.

Using the 'cross the heart' or 'cross multiplication' method:

35x = 7 * 65

x = (7 * 65)/35

= 455/35

= 13

Hence, it would take 13 more days to complete the book.

Hope this helps and be sure to have a great time ahead at Brainly! :D

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

20.8 cm

so sorry if incorrect :(

[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]

Value of x (substitute 0 in the place of x).

[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]

Answer:

g = 6

Step-by-step explanation:

Step 1: Subtract 3.3g from both sides.

Step 2: Subtract 8 from both sides.

Step 3: Divide both sides by 2.

(hope this helps) :)

Answer:

p = 10.9

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

i took the k12 test

sorry if its wrong but i think its right at least it was for me

False

Like terms have the same literal coefficients but can have different Numerical Coefficients

Hope this helped you- have a good day bro cya)

Answer:

False

Step-by-step explanation:

Like Terms:

Two or more terms that have the same literal coefficients are called Like Terms. Like terms can have different Numerical Coefficients, but not literal coefficients. ... -13p2q2 and 13 p2q2 are Like terms as only the numerical coefficients are different but the literal coefficients are same

Answer: In ^3

Step-by-step explanation: V = (1/2) (4/3) π(d/2^3

Plug in  

d = 56.7 in

and get V in units of in^3.

Answer:

31/ 32

Step-by-step explanation:

Switch the fractions and multiply. This will work in place of division.

31/32 is already in the simplest form, you can't simplify it anymore.

-kiniwih426

Answer:

p = -30 + 20

Hope this helps!

Answer:

y = 0

Step-by-step explanation:

READ THE GRAPH. If X = 1, then Y = 0. have a nice day

Answer:

f(- 1) = 3

Step-by-step explanation:

locate x = - 1 on the x- axis, go vertically up to meet the graph at (- 1, 3 ) , so

when x = - 1, then y = 3 , that is

f(- 1) = 3

Answer:

1. 6

2. 8

3. 10

4. 12

5. 14

Step-by-step explanation:

just solve

3.2128 is a rational number because you can not make it into a fraction/ratio

Hello there!

The slopes of perpendicular lines are opposite reciprocals. It means we take the slope of the given line, flop it over and make it negative.

And then just plug in the points:

y-y1=m(x-x1)

y-3=-1/4x-(-5)

y-3=-1/4x+5

Hope this helps!

~Just a joyous teen

[tex]GraceRosalia[/tex]

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

Answer:

you can create  2 groups of 8 and you will have a group of 4 left

Step-by-step explanation:

Answer:

25. 7 months

26. Php 12500

27. a. 3x-4y=8

b. 4x+2y=0

c. _ graph yourself

d. Yes it does

28. A. Yes

B. Yes

C. No

Answer:

47.1

Step-by-step explanation:

c=pie d

c=3.14×15

47.1

Answer:

Step-by-step explanation:

So, as you know u got a the diameter.

-Given:

d = 15.

circle (Pi) = 3,14159265359 (But we use always 3.14)

Find: we need to find circumference.

C=Pi * d = 3,14 * 15 = 47,1m.

I hope this answers your question, sir.

Answer:

A US dollar is worth almost 114.34 Yen in Japan.

Step-by-step explanation:

( Yen is the currency they use in Japan )

Answer:

1 us dollar = 114.30 Japanese Yen

100 us dollars = 11430.65 Japanese Yen

Step-by-step explanation:

hope this helps

Answer:

2x2x2 or 2x2x2x2

Step-by-step explanation:

because thats the answer