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9966 [12]
3 years ago
13

The blueprint of a concrete patio has a scale of 2 in. = 3 ft You want to find the dimensions of a new blueprint of the patio wi

th a scale of 4 in. = 5 ft. Find the actual dimensions if length = 30 inches and width = 28 inches.
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer:

If\ old\ scale\ is\ taken:\ Length=45\ ft,\ Width=42\ ft\\\\If\ new\ scale\ is\ taken:\ Length=36\ ft,\ Width=33.6\ ft

Step-by-step explanation:

Older Scale:

2\ in=3\ ft\\\\\Rightarrow 1\ in=\frac{3}{2}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{3}{2}\ ft\\\\Length=45\ ft\\\\Width=28\ in\\\\width=28\times \frac{3}{2}\ ft\\\\width=42\ ft

New scale:

4\ in=5\ ft\\\\\Rightarrow 1\ in=\frac{5}{4}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{5}{4}\ ft\\\\Length=36\ ft\\\\Width=28\ in\\\\width=28\times \frac{5}{4}\ ft\\\\width=33.6\ ft

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I need some help please
Veronika [31]
The definition of the tangent function tells you
   tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
   (distance to mountain) = (300 ft) / tan(angle)

For the far end of the river,
   distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft

For the near end of the river
   distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft

Then the width of the river can be calculated by finding the difference of these distances:
   width of river = distance to far end - distance to near end
   width of river = 673.8 ft - 357.5 ft
   width of river = 316.3 ft

The appropriate answer choice is
   316 ft.
8 0
3 years ago
Which equation is solved for the variable h? v=by/3
max2010maxim [7]
The equation is given as: v=by/3 but it is actually <span>v=bh/3
</span><span>
Ans, now, we need to solve this for variable h.

So, </span>v=bh/3
On cross multiplying, we get,
3 × v = bh
On dividing the complete equation by "b" we get,
(3×v) / b = (bh)/b 

or  (3×v) / b = h

Thus, the value of h is : 3v/b 
8 0
3 years ago
Find the value of x.<br> When a leg is 6<br> units and the<br> hypotenuse is 12<br> units.
DIA [1.3K]

Answer:

6√3

Step-by-step explanation:

6^2+x^2=12^2

36+x^2=144

-36          -36

x^2=108

x=6√3

3 0
3 years ago
Write for the system 3x - 5y = 9,3x+y=3, which variable should we eliminate first?​
murzikaleks [220]

Answer:

x

Step-by-step explanation:

7 0
2 years ago
The area of 14 cm wide rectangle is 252 CM what is the length​
Olin [163]

Answer: 21cm

Step-by-step explanation:

To find the area of a rectangle you just multiply the length by the width. In this case we have 12(width) x ?(length) = 252. To solve we would just divide the area by the known measurement to find the missing one, so 252/12 =21cm

5 0
2 years ago
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