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jeka57 [31]
3 years ago
14

An environmental design architect creates a model of a park. The scale is 1.5 cm = 2.5 feet. How tall is the actual tree. The tr

ee is 7.5 cm
Mathematics
2 answers:
Doss [256]3 years ago
7 0

Set up a proportion:

1.5cm/2.5ft = 7.5cm/x

7.5•2.5=18.75

18.75 / 12.5 = 12.5 feet

olga nikolaevna [1]3 years ago
5 0

12.5 feet

2.5•5=12.5 feet

Here the answer

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Q4. The diagram shows a triangle inside a rectangle.
Yanka [14]

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

<h3>How to find the area of the shaded region?</h3>

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

learn more on area here: brainly.com/question/21208569

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4 0
2 years ago
ABCD is parallelogram if angle D=32, then angle c=?
Nonamiya [84]
<C = 180 - 32
<C = 148 degrees

 (<C+<D = 180)
5 0
3 years ago
Please help.... <br> don’t understand
BlackZzzverrR [31]

5.\\a_0=24\\a_1=a_0+7\to a_1=24+7=31\\a_2=a_1+7\to a_2=31+7=38\\a_3=a_2+7\to a_3=38+7=45\\a_4=a_3+7\to a_4=45+7=52\\\vdots\\a_n=a_{n-1}+7\\\\Answer:\ \left\{\begin{array}{ccc}a_0=24\\a_{n}=a_{n-1}+7\end{array}\right

6..\\a_0=-5\\a_1=a_0\cdot(-6)\to a_1=-5(-6)+30\\a_2=a_1\cdot(-6)\to a_2=30(-6)=-180\\a_3=a_2\cdot(-6)\to a_3=-180(-6)=1080\\a_4=a_3\cdot(-6)\to a_4=1040(-6)=-6480\\\vdots\\a_n=(-6)a_{n-1}\\\\Answer:\ \left\{\begin{array}{ccc}a_0=-5\\a_n=-6a_{n-1}\end{array}\right

3 0
3 years ago
The triangle ABC goes through a series of transformations, resulting in the triangle A’B’C’. The three transformations are liste
Pie

Answer:

<em>The new co-ordinates of A ( 2 ,-6)</em>

Step-by-step explanation:

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                  (x,y)→(x , y+d)

<em>Vertical translation down 'd' units             (x,y)→(x , y-d)</em>

<em>Horizontal translation right 'c' units           (x,y)→(x+c , y)</em>

Horizontal translation left 'c' units           (x,y)→(x-c , y)

<em>Reflection over x-axis                               (x,y) →(x , -y)</em>

Reflection over y-axis                               (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis  ( -2 ,3) <em>→(-2 , -3)</em>

<em>b) Vertical translation down '3' units  so it changes (-2 , -3)→(-2 , -3-3)</em>

<em>                          (-2,-3)→(-2 ,-6)</em>

<em>and</em>

<em>c) The Horizontal translation right '4' units </em>

<em>now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)</em>

<em></em>

<u><em>Final answer</em></u><em>:- </em>

<em>The new co-ordinates of A ( 2 ,-6)</em>

<em></em>

7 0
3 years ago
Please Help!!
marishachu [46]
12 per hour

24 2 hours 

36 3 hours

Closest answer would be (A) Im 100% Sure!!!
8 0
3 years ago
Read 2 more answers
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