All categories

2 years ago

What is the equivalent exsprssion of √54

Mathematics

1 answer:

FromTheMoon [43]2 years ago

3 0

Answer:

3 $\sqrt{6}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{54}$

= $\sqrt{9(6)}$ = $\sqrt{9}$ × $\sqrt{6}$ = 3 $\sqrt{6}$

You might be interested in

Draw a box plot for the following data. {35, 50, 50, 48, 48, 32, 38, 41, 48, 34, 29, 23, 41, 34, 43}

loris [4]

I can't really draw one, but the points would be, 23,34,41,48,50

7 0

3 years ago

An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

What is the average rate of change <br>y - 3 = -12 (x + 4)

vagabundo [1.1K]

Answer:

$- 12x$

Step-by-step explanation:

$y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45$

Thr answer is the slope.

4 0

3 years ago

Read 2 more answers

R-12 evaluate if r= negative 3

GalinKa [24]

If r=-3, then it would be -3-12 which equals -15

5 0

3 years ago

Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units

Mariulka [41]

Answer:

yes the triangle is congruent, because you did not use any transformations you on used translations.

but if you used transformations it would be similar not congruent

4 0

3 years ago

Read 2 more answers