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Tresset [83]
3 years ago
10

A parking garage has 5 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the f

ifth level of the parking garage is −118.5 ft. What is the depth of the first level of the parking garage?
Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

Using proportions, it is found that the depth of the first level is of -23.7 ft.

-----------------------

  • <u>As each level has the same height</u>, this question can be solved by proportions, with a rule of three.
  • 5 levels have a depth of -118.5ft. What is the depth of 1 level?

5 levels - -118.5 ft

1 level - x

Applying cross multiplication:

5x = -118.5

x = -\frac{118.5}{5}

x = -23.7

The depth of the first level is of -23.7 ft.

A similar problem is given at brainly.com/question/24112433

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Yuki888 [10]
100 would be correct because the 9 in the hundredths place rounds to a ten, and so does every other number.
5 0
4 years ago
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What is the greatest common factor of 4k, 18k4, and 12?
levacccp [35]
Factor each
4k=2*2*k
18k⁴=2*3*3*k*k*k*k
12=2*2*3

GCF=2


the greatest common factor is 2
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3 years ago
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When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t
pshichka [43]

The flea's acceleration is 1,000 m/s².

<h3>Further explanation</h3>

The problem we overlook this time is about uniformly accelerated motion.

The list of variables to be considered is as follows.

\boxed{u \ or \ v_i = initial \ velocity}

\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}

\boxed{a = acceleration \ (constant)}

\boxed{d = distance \ travelled}

Given that a take-off speed of 1.0 m/s over a distance of 0.50 mm.  

The initial speed was zero from rest.  It was asked about flea's acceleration when she extends her legs.

The formula we follow for this problem are as follows:

\boxed{ \ v^2 = u^2 + 2ad \ }

  • a = acceleration (in m/s²)
  • u = initial velocity = 0 m/s
  • v = take off speed = 1.0 m/s
  • d = distance travelled = 0.50 mm

Converted 0.50 mm to meters: \boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}

<u>Steps:</u>

We set the formula so that the acceleration becomes the subject.

\boxed{ \ v^2 = u^2 + 2ad \ }

\boxed{ \ v^2 - u^2 = 2ad \ }

\boxed{ \ 2ad = v^2 - u^2 \ }

\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }

Substitute all data into equations.

\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }

\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }

\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }

\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }

We get the flea's acceleration, i.e., 1,000 m/s².

<h3>Learn more</h3>
  1. About scientific notation brainly.com/question/7263463
  2. Finding the mass of substance brainly.com/question/4053884
  3. Converting in cubic brainly.com/question/1446243

Keywords: flea, when jumping, rapidly extends its legs, take-off speed, initial velocity, distance, acceleration, uniformly accelerated motion, convert

5 0
3 years ago
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A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT c
Oduvanchick [21]

Answer:

Step-by-step explanation:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

        = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

       = 1 - 17 / 45

      = ( 45 - 17)/45

     = 28 / 45

Hope it helped :)

6 0
4 years ago
Find the surface area of the pyramid.<br> 64in^2 <br> 56in^2 <br> 88in^2<br> 118in^2
ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of <em>one triangle is 12 inches</em>.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = s^{2}

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula s^{2})

A = s^{2}

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.

Now we add both areas together:-

48 + 16

= <u>64 inches^2</u> is the surface area, your answer is A.

5 0
2 years ago
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