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sergij07 [2.7K]
3 years ago
15

A rectangular park is 6x + 2 ft long and

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

18x² + 48x - 50

Step-by-step explanation:

Area of rectangle = width x length

Area of square = width²

Therefore, area of park not occupied by the turtle park would be the area of the rectangular park MINUS the area of the turtle pond:

= (3x + 7)(6x + 2) - 8²

= 18x² +42x + 6x + 14 - 64

= 18x² + 48x - 50

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Are these triangles similar
Archy [21]
These trianges are similar because they are both right triangles.
8 0
3 years ago
Calculate the area of the shaded region in the rectangle.<br> 20'<br> 5'<br> 12<br> 7
ioda

Answer:

20 x 12 = 240(total area)

20 - 7 = 13(base)

12 - 5 = 7(height)

13 x 7 = 91

91 divided by 2 (x 1/2) = 45.5

Now we subtract the area of the non shaded region from the shaded region.

240 - 45.5 = 194.5 is your answer.

4 0
3 years ago
a student invested $10,000 received an inheritance in three parts. with one person she brought mutual funds that offered and ret
natka813 [3]

Answer:

The amount invested at 4% per year was $3,000

The amount invested at 4.5% per year was $6,000

The amount invested at 2.5% per year was $1,000

Step-by-step explanation:

Let

x -----> the amount invested at 4% per year

2x ----> the amount invested at 4.5% per year

10,000-3x -----> the amount invested at 2.5% per year

we know that

The interest earned by the amount invested at 4% per year plus the interest earned by the amount invested at 4.5% per year plus the interest earned by the amount invested at 2.5% per year must be equal to $415

so

4\%=4/100=0.04

4.5\%=4.5/100=0.045

2.5\%=2.5/100=0.025

0.04x+0.045(2x)+0.025(10,000-3x)=415

Solve for x

0.04x+0.09x+250-0.075x=415

0.055x=415-250

0.055x=165

x=\$3,000

therefore

The amount invested at 4% per year was $3,000

The amount invested at 4.5% per year was $6,000

The amount invested at 2.5% per year was $1,000

3 0
3 years ago
Please help me with the question below
jonny [76]

Answer:

a) Angle XBC = 55 because XY is parallel with BD

b) As given, XB = XC, so that triangle XBC is the equilateral triangle.

As XBC is equilateral triangle, angle XBC is equal to angle XCB

Angle XBC = 55° => Angle XCB = 55°

In a triangle, the total value of three corners are equal to 180°

So that: Angle XBC + Angle XCB + Angle BXC = 180°

=> 55° + 55° + Angle BXC = 180 °

=> Angle BXC = 70°

5 0
3 years ago
Read 2 more answers
Please help help help help !!!!! ASAP<br><br>Factorise <br><br>3у^2 - 54y + 243​
fiasKO [112]

Answer:

3(y-9)^2

Step-by-step explanation:

8 0
3 years ago
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