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Vlada [557]
3 years ago
12

What is the area of the polygon defined by the points A(12, 20), B(20, 20), C(20, 8), and D(12, 8)? a 96 square units b 132 squa

re units c 24 square units d 48 square units

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

  a.  96 square units

Step-by-step explanation:

The figure is a rectangle with width AB = (20-12) = 8 units and height BC = (20-8) = 12 units.

The area of the rectangle is (8 units)×(12 units) = 96 square units.

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The cost of a hotel room for 5 nights is $610. there is a 9.5% tax
vlabodo [156]

Answer:

wrong it is 667.95

Step-by-step explanation:

8 0
2 years ago
3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
Luba_88 [7]

Answer:

Below in bold

Step-by-step explanation:

The sequence is:

3, x, y, 18

If this is an A P then

x - 3 = y - x  

2x - y = 3      (A)  and

y - x = 18 - y

2y - x = 18      (B)

Multiply  (A) by 2:

4x - 2y = 6    (C)

Adding B and C:

3x = 24

x = 8.

and

2y - 8 = 18

2y = 26

y = 13.

So x = 8 and y = 13.

b)   ar + ar^2 = 6ar^3  where a = first term and r = common ratio

Divide by a:

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

r(3r  + 1)(2r  - 1) = 0

So the 2 possible values of r

= -1/3 and 1/2.

i) The common ratio is positive so it must be 1/2.

Second term ar = 8

1/2 a = 8

a = 16.

So the first 6 terms are:

16, 8, 4, 2, 1, 1/2.

5 0
2 years ago
Help me please !!!!!!!
Natalka [10]

Answer: D

Step-by-step explanation:

h(x) is f(x) for x moving 4 units right.

h(x)=f(x-4) =√(x-4)

Answer D

7 0
3 years ago
Read 2 more answers
Help me please I don’t know what to do my guy
anastassius [24]
I am guessing the answer is C.

since X seem to be a full 90-degree angle, and y is also 45 degrees.
5 0
3 years ago
Mitchell invested part of his $34,000 advance at 2% annual simple interest and the rest at 9% annual simple interest. If his tot
slava [35]
Let x = Amount invested at 2%
      y = Amount invested at 9%

x + y = 34000            ×(-0.02)→ -0.02x - 0.02y = -680
0.02x + 0.09y = 2570             →  0.02x + 0.09y = 2570
                      add the equations               0.07y = 1890
           divide by 0.07 both sides                      y = 27000
x = 34000 - 27000 = 7000
ANSWER:
Invested at 2%: $7000
Invested at 9%: $27000
8 0
3 years ago
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