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Nana76 [90]
3 years ago
12

steve repairs elevators. when he is called to a job he uses the stairwell to go to the floor which the elevator is located. in t

he modis building he climbs 22 steps for the 15 feet of horizontal travel. in the sears tower he climbs 17 steps for every 7 feet of horizontal travel. what is the rate of change for each stairwell?​
Mathematics
1 answer:
brilliants [131]3 years ago
4 0

From 22steps & 15ft and 17steps and 7ft, -5/-8 would be the slope(?)

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6-4x=6x-8x+8<br><br> find the value of x
ad-work [718]

Answer:

x = -1

Step-by-step explanation:

6 − 4x = 6x − 8x + 8

Combine 6x and −8x to get −2x.

6 − 4x = −2x + 8

Add 2x to both sides.

6 − 4x + 2x = 8

Combine −4x and 2x to get −2x.

6 − 2x = 8

Subtract 6 from both sides.

−2x = 8 − 6

Subtract 6 from 8 to get 2.

−2x = 2

Divide both sides by −2.

x = \frac{2}{-2}

Divide 2 by −2 to get −1.

x = 1

Hope this helps and have a great day! =D

7 0
2 years ago
Read 2 more answers
Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
ZanzabumX [31]

Answer:

  cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

__

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

<h3>Rectangular Prism</h3>

The relevant formulas are ...

  V = LWH

  A = 2(LW +H(L +W))

for length L, width W, and height H.

<u>a)</u><u> prism 1</u>

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

  V = (8 in)(8 in)(5 in) = 320 in³

  A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

<u>b)</u><u> prism 2</u>

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

  V = (10 in)(8 in)(4 in) = 320 in³

  A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

__

<h3>Cylinder</h3>

The relevant formulas are ...

  V = πr²h

  A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

  V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

  A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

__

<h3>Square Pyramid</h3>

The relevant formulas are ...

  V = 1/3s²h

  A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

  V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

  A = (10 in)(10 in + 2×14 in) = 380 in²

__

<h3>Summary</h3>

The proposed figures have volume and area (rounded to the nearest unit) as follows:

  \begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}

The proposed <em>cylinder</em> requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

<em>Additional comment</em>

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

3 0
1 year ago
What is the value of the product (3 – 2i)(3 + 2i)?
eimsori [14]

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\sqrt{-1})^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

6 0
3 years ago
Read 2 more answers
Andrew goes to a store an buys an item that costs xx dollars. He has a coupon for 35% off, and then a 8% tax is added to the dis
ANTONII [103]

Answer:

xx(0.65) + xx(0.08)

Step-by-step explanation:

First step is to find the discounted price. Finding 35% less than the original xx is the same as finding 65% of it, so we multiply by 0.65. Once this is completed we need to find 8% more than that. So we add 8% of xx, which is the same as multiplying by 0.08. Hope this helps :)

7 0
2 years ago
Please solve with working much appreciated
Oduvanchick [21]

Answer:

I don't know nan molla

Step-by-step explanation:

For example, Kino had a good opportunity to barely have a better life and he could have done anything to save his family but instead of doing that he refused to take the 1500 pesos.gddff

4 0
3 years ago
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