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TiliK225 [7]
3 years ago
15

A 6 foot tall man makes a shadow that is 3 feet long. How tall is a building that

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

A) 1 : 12/7

B) see explanation below

C) 25.5 feet

Step-by-step explanation:

6 : 3.5 --> 1 : 12/7

x : 14.875 -->  1 : 12/7

x= (14.875) (12/7)

x=  25.5

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Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.)
Natasha2012 [34]

Answer:

87.92

Step-by-step explanation:

3.14(a² + ab)  where  a = 4  and  b = 3

Plug the given numbers into the appropriate values.  Remember to follow PEMDAS.

3.14((4)² + (4)(3))

3.14(16 + 12)

3.14(28)

87.92

5 0
3 years ago
What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

6 0
3 years ago
Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year,
Aleonysh [2.5K]

Answer:

5850

Step-by-step explanation:

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3 0
3 years ago
13. A cube has a surface area of 150 ft. Determine the edge length of the cube as a mixed radical in lowest form and
Elena-2011 [213]

Answer:5ft

Step-by-step explanation:

5 0
3 years ago
5. David Read's the problem:
vladimir1956 [14]

Answer:

No, David's answer does not seem reasonable.

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25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.

If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.

Step-by-step explanation:

7 0
3 years ago
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