All categories

2 years ago

Find the exact value of tan A in simplest radical form. PLEASE HELP

Mathematics

1 answer:

Tju [1.3M]2 years ago

3 0

Answer:

$\tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2}$

You might be interested in

Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

xeze [42]

Answer:

$12x + 24 = 2(6x + 12)$

$12x + 24 = 3(4x + 8)$

$12x + 24 = 4(3x + 6)$

$12x + 24 = 6(2x + 4)$

$12x + 24 = 12(x + 2)$

Step-by-step explanation:

Given

$12x + 24$

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

$AB + AC = A*(B + C)$

So, we have:

$12x + 24 = 2*6x + 2 * 12$

$12x + 24 = 2(6x + 12)$ ----- (1)

Another:

$12x + 24 = 3*4x + 3 * 8$

$12x + 24 = 3(4x + 8)$

Another:

$12x + 24 = 4*3x + 4*6$

$12x + 24 = 4(3x + 6)$

Another:

$12x + 24 = 6*2x + 6*4$

$12x + 24 = 6(2x + 4)$

Another:

$12x + 24 = 12*x + 12*2$

$12x + 24 = 12(x + 2)$

5 0

2 years ago

The cube root of the difference of a number and 2

julia-pushkina [17]

Answer:

The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.

Step-by-step explanation:

8 0

3 years ago

Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was

kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

$I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%$

Therefore, the annual interest rate is 6.25%

6 0

2 years ago

Which multiplication equation represents the question: how many 3/8s are in 5/4?

Harman [31]

Answer:

The equation which represents the question is 3 1/3

8 0

2 years ago

Determine if the angles are greater than (>), less than (<), or equal (=) to each other.

Gwar [14]

Opposite side to <WYX=WX
Opposite side to <XWY=XY

Here

WX=12
XY=15

WX<XY

$\\ \sf\longmapsto$

4 0

2 years ago