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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 $\sqrt{6}$

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If a,b,c,d are in continuous proportion then prove that (c+a) (c+d) = (b+c) (b+d)

sesenic [268]

Answer:

We must prove that (c+a)(c+d) = (b+c)(b+d)

Let us use principles from mathematical induction
$\frac{a}{b} = \frac{b}{c} = \frac{c}{d} = x$
a=bx , b=cx, c=dx
a+c = b + c
c +d = b + d
Such that (a+c)(c+d)=(b+c)(b+d)

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8 0

2 years ago

Consider the equation 3a+0.1n=123. If we solve this equation for n, which equation would result? A. 0.1n=123-3a B. N=123-3a-0.1

neonofarm [45]

Answer:

n = (123 - 3a) / 0.1

Step-by-step explanation:

Given:

3a + 0.1n = 123

Solve for n

3a + 0.1n = 123

Subtract 3a from both sides

3a + 0.1n - 3a = 123 - 3a

0.1n = 123 - 3a

Divide both sides by 0.1

n = (123 - 3a) / 0.1

The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1

4 0

2 years ago

Please help me with this and thank you

castortr0y [4]

Answer:

the correct answer is C. 45

Step-by-step explanation:

so 1/5 means there are 5 peice to make a whole...

so if you cut an apple into 5 parts, each slice of that apple is 1/5

so if you cut 9 apples into 5 slices its just multiplication...

5*9=45

**for my visual learners** in the parenthesis are groups of 5 sticks

( ///// ) **those are your apple slices** **now just do that exactly 9 times**

( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )

5 10 15 20 25 30 35 40 45

i really hope this helps <3

8 0

2 years ago

Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne

DENIUS [597]

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

$A=2\pi rh$

Where

A is the area

π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14

r is the radius

h is the height of the cylinder

The given cylinder has a height of h=15m and a diameter of d=6m

To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2