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Masja [62]
2 years ago
6

The dimensions of a garden are 30' by 20'. If a model garden with the scale of 10' = 5'' is to be made, find the dimensions of t

he model.
Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

Answer:

15" by 10"

Step-by-step explanation:

Use a proportion.

10'/5" = 30"/x

10x = 5 * 30

10x = 150

x = 15"

10'/5" = 20'/y

10y = 5 * 20

10y = 100

y = 10"

Answer: 15" by 10"

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GalinKa [24]

Answer:

B. is the correct answer

4 0
2 years ago
The sum of 3 consecutive even numbers is 66. write an equation and solve to find the smallest even number.
Alekssandra [29.7K]
X+(x+2)+(x+4)= 66
3x+6=66
3x=60
x=20

20,22, and 24. so 20 is the answer
6 0
3 years ago
Find the distance of the point (3,4) from the midpoint of the line joining (8,10) and (4,6)
Elis [28]

Answer:

Distance between point (3,4) and midpoint of line joining (8,10) and (4,6) = 5 units.

Step-by-step explanation:

Given:

Points:

A(3,4)\\B(8,10)\\C(4,6)

To find distance from point A to midpoint of  BC.

Midpoint M of BC:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\

M=(\frac{8+4}{2},\frac{10+6}{2})\\     [Plugging in points B(8,10)\ and\ C(4,6)]

M=(\frac{12}{2},\frac{16}{2})\\

M=(6,8)\\

Distance between A and M:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

D=\sqrt{(6-3)^2+(8-4)^2} \\   [Plugging in points A(3,4)\ and\ M(6,8)]

D=\sqrt{(3)^2+(4)^2} \\

D=\sqrt{9+16} \\

D=\sqrt{25} \\

D=\pm5

Since distance is always positive ∴ D= 5 units

4 0
3 years ago
Rectangle CDEF is rotated 45 in clockwise direction . To which angle of the image does angle D correspond? A-angle C’ B-angle D’
Andrej [43]

Answer:

the answer is angle D'

Step-by-step explanation:

the second option

4 0
3 years ago
Read 2 more answers
The length of a rectangle is (t – 8) units, and its width is ('+ 11) units. Which expression can represent the area of the recta
AVprozaik [17]

Corrected Question:

The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?

Answer:

t² + 3t - 88

Step-by-step explanation:

Given:

Rectangle of;

length = (t - 8) units

width = (t + 11) units

The area A of a rectangle is given by;

A  = length x width ----------------------------------(i)

Substitute the given length and width into equation (i) as follows;

A = (t - 8) x (t + 11)    [expand the brackets]

A = t² -8t + 11t - 88

A = t² + 3t - 88

Therefore, the area is

(t² + 3t - 88) square units

8 0
3 years ago
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