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Vikentia [17]
3 years ago
7

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

2) = 24, where x is the width in inches, represents this situation.
The value of x from the set {1, 3, 5, 7} that holds true for the equation is ___ . So, the width of the rectangle is ___ inches and its length is ___ inches
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0
2x + 2(x + 2) = 24
2x + 2x + 4 = 24
4x = 24 - 4
4x = 20
x = 20/4
x = 5

The value of x that holds true for the equation is : x = 5.
So the width of the rectangle is 5 inches and the length is (x + 2 = 5 + 2) = 7 inches
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Find the area of the figure.
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Answer:

20 square units

Step-by-step explanation:

The figure shows a triangle whose;

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  • Height is 5 units

We are supposed to get its area;

Area of a triangle is given by the formula;

Area = 0.5×b×h

Thus;

Area = 0.5 × 8 units × 5 units

        = 20 square units

Hence, the area of the figure is 20 square units

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3 years ago
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Dahasolnce [82]

Answer:

34

Step-by-step explanation:

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3 years ago
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1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr
ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

P(at least one head) + P(no heads) = 1

Then, P(at least one head) = 1 - P(no heads)

The probability of 4 tails is:

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Then, P(at least one head) = 1 - 1/81=80/81

7 0
3 years ago
Problem page an 11 - ft ladder leans against the side of a house. the bottom of the ladder is 8 ft from the side of the house. h
Lisa [10]
A^2 + b^2 = c^2
8^2 + b^2 = 11^2
64 + b^2 = 121
b^2 = 121 - 64
b^2 = 57
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3 years ago
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qwelly [4]

Answer:

is the LAsT one because 5x-1 can t be 0 so x doesn t have to be equal to 1/5 which would make 5x-1 =0.

8 0
3 years ago
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