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MAVERICK [17]
3 years ago
14

A water tower casts a 100- foot shadow. At the same time, an 8- foot street sign casts a shadow of 6 feet. what is the height of

a tower?
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
Set up and solve an equation of ratios.  Comparing shadow lengths, we get 100/6; comparing heights, we get x/8.  Set these two ratios equal to one another and solve the resulting equation for x:

100       x
----- = ------      Then 6x=800, and x = 800 feet^2 over 6 feet.  Your answer 
   6        8

must have the unit of measurement "ft."


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53 degrees

Step-by-step explanation:

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A company makes 120 bags.
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43 out of 120 have zips

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
3 years ago
2) Which equation has the same y-intercept as the graph on the right?
Citrus2011 [14]

Answer:

I'm so sorry if I'm wrong but in my opinion I think the answer is C you don't have to choose it

7 0
3 years ago
YOU Will be SHOWERED With POINTS IF U HELP ME
Volgvan

Answer: C

<u>Step-by-step explanation:</u>

f(x) = 26.2 - 0.1x

f(100) = 26.2 - 0.1(100)

         = 26.2 = 10.0

         = 16.2

f(5-) = 26.2 - 0.1(50)

       = 26.2 - 5.0

       = 21.2

******************************************************

Answer: D

<u>Step-by-step explanation:</u>

f(x) = 2|x - 3| + 1

2 units right: f(x) = 2|x - (3 + 2)| + 1

                           = 2|x - 5| + 1

3 0
3 years ago
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