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Gnoma [55]
3 years ago
10

George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee

t of space he will have to use . Calculate the area of the garden from the picture below

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

Area = 6 * 8 = 48

The area of the trapezoid is:

Area = \frac{1}{2}(9 + 14) * 5

Area = \frac{1}{2}(23) * 5

Area = 11.5 * 5

Area = 57.5

So, the area of the garden is:

Total = 48 + 57.5

Total = 105.5

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What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.
xenn [34]

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

===========================================

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

3 0
3 years ago
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
fredd [130]

Answer:

option D

because every length is one fifth of the corresponding length of the bigger triangle

7 0
2 years ago
Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards
AlekseyPX

Answer:

13 1/2

Step-by-step explanation:

Just multiply 3.5 and 4.75

AKA

3 1/2 and 4 3/4

Change 1/2 into 2/4 so the denominators are the same

Multiply the numerators 2 and 3, you now have 6/4

3 × 4 = 12

6/4 is improper so, you need to simplify

now you have 1 1/2

Now 12 + 1 1/2 = 13 1/12

5 0
3 years ago
The area of the trapezoid is 9 square centimeters.
Lana71 [14]

Answer:

Height : 3 cm

Step-by-step explanation:

The formula for a trapezoid is

<u> a+b</u> ×height

2

Rearrange for formula :

2 \times \frac{area}{ base + base }

2\frac{9}{ 4 + 2 }  = 3cm

7 0
2 years ago
Read 2 more answers
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