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Sholpan [36]
3 years ago
8

a postage stamp 25 millimeters wide and 40 millimeters tall is enlarged to make a poster. the poster is 4 feet wide. find the he

ight of the poster.
Mathematics
1 answer:
slava [35]3 years ago
3 0
I come from a place that does not use feet as a measurement metric, so I googled the conversion metrics (correct me if I am wrong)
 
\boxed {1 foot = 304.8 \ millimeters}

----------------------------------------------------------------------------------------------
Find the scale factor between the stamp and the poster
----------------------------------------------------------------------------------------------
Stamp : Poster
25mm : 4 feet
25mm : 4 x 304.8
25mm : 1219.2mm
1mm : 48.768mm

\boxed {1 : 48.768}

----------------------------------------------------------------------------------------------
Find the missing height
----------------------------------------------------------------------------------------------
Stamp : Poster
40mm : 40 x 48.768mm
40mm : 1950.72mm

\boxed {1950.72mm}

----------------------------------------------------------------------------------------------
Convert back to feet
----------------------------------------------------------------------------------------------
40mm : 1950.72 ÷ 304.8 ft
40mm : 6.4 ft

\boxed {6.4 ft}
----------------------------------------------------------------------------------------------
Answer
----------------------------------------------------------------------------------------------
Height of the poster is 6.4ft

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

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

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

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

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

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2 years ago
Is how many sixth graders attend your school a statistical question?
HACTEHA [7]
Yes, any question that involves numbers would be a statistical question. 
8 0
2 years ago
Read 2 more answers
Please be quick! I need this as soon as possible !
quester [9]

Answer: 14 people

Step-by-step explanation:

2/100 = 0.02

0.02 * 700 = 14

4 0
2 years ago
Solve each given equation and show your work.
Eduardwww [97]

Answer:

(a) x = 3

(b) y = 6

(c) false/not true

(d) x = 5

Step-by-step explanation:

(A) 2 + x = 5 You would subtract the 2 from both sides which gives you x = 3

(B) 8y = 48 You would divide 8 from both sides which is 6 so y = 6

(C) 23 = 26 That is not true because 23 does not equal 26

(D) -7x - 3x + 2 = -8x - 8 First simplify the equation; -10x + 2 = -8x - 8. Next, you want to subtract 2 from both sides which gives us -10x = -8x - 10. Now you want to add 8x to both sides which is -2x = -10. And now you just divide -2 on both sides which gives us the answer 5. So, x = 5. I hope this helps. Let me know if one of the answers are incorrect.

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The radius of the circle has a length of units.
Goshia [24]

Answer: 10 units

Step-by-step explanation:

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