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3 years ago

12

Simplify

{ - 48} " align="absmiddle" class="latex-formula">

1 answer:

slava [35]3 years ago

7 0

Answer:

4i*sqrt(3)

Step-by-step explanation:

Break into prime factors.

48:2 * 2 * 2 * 2 * 3

sqrt(- 2 * 2 * 2 * 2 * 3) for every pair of factors take 1 out of the brackets and throw the other one away.

2 * 2 sqrt(-3) The square root of a minus is i

2 * 2 * i * sqrt(3)

4i * sqrt(3) Answer

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Answer:

$27.50

Step-by-step explanation:

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3 years ago

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Estimate the sum of 202 and 57.

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Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they

Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

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In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

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3 years ago

Which integer is closest to 0 on the number line?

IrinaVladis [17]

An integer is close to zero if it is "small".

By small, we mean that it is small in absolute value. In fact, for any given distance $d$ , there are two integers that are $d$ units away from zero: $d$ and $-d$ .

So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.

So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.

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3 years ago

The safety instructions for a 20 foot ladder say the ladder should not be inclined more than 70 degrees with the ground. suppose

Romashka [77]

Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet

Step-by-step explanation:

The scenario is shown in the attached photo.

Right angle triangle ABC is formed when the ladder leans against the wall of the house.

AC = the height of the ladder

AB = x feet = distance of the base of the house to the foot of the ladder

BC is the wall of the building.

To determine x, we will apply trigonometric ratio

Cos # = adjacent/hypotenuse

Where

# = 70 degrees

Hypotenuse = 20

Adjacent = x

Cos 70 = x/20

x = 20cos70

x = 20 × 0.3420

x = 6.84 feets

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3 years ago