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ValentinkaMS [17]
3 years ago
11

The area of a rectangular portrait is 20 square feet. It is 4 feet wide. How high is it?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0

Answer:

5 feet high

Step-by-step explanation:

A= LxW

Yx4= 20

  /4    /4

Y= 5ft

It is 5ft high

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Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then ref
Alexus [3.1K]

Answer:

F'G' = 7

Step-by-step explanation:

Given

F = (-2,4)

G = (-2,-3)

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

  • Translation
  • Reflection

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

F'G' = FG

Calculating FG, we have:

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

Where:

F = (-2,4) --- (x_1,y_1)

G = (-2,-3) --- (x_2,y_2)

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

FG = \sqrt{(0)^2 + (7)^2}

FG = \sqrt{0 + 49}

FG = \sqrt{49}

Take positive square root

FG = 7

Recall that:

F'G' = FG

F'G' = 7

6 0
3 years ago
What is the radical form of the square root of 1450?
dalvyx [7]
\sqrt{1450} =   \sqrt{25*58} = 5\sqrt{58}
3 0
3 years ago
2. A bicycle trail is 65 miles long. Rashid
Tresset [83]

Answer:

35 more miles

5 0
3 years ago
Read 2 more answers
Which mixed number is equivalent to the improper fraction?<br> 11 7
IgorLugansk [536]

Answer:

1 4/7

Step-by-step explanation:

11/7

7/7=1

11-7=4

1 4/7

6 0
3 years ago
Read 2 more answers
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
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