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Alenkasestr [34]
3 years ago
15

IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that

area? Set 1: Set 2: Explain your thinking:
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0
To resolve this exercise you have to choose two numbers that when you multiply them, you get 64:
 
 For Set 1: If you choose to make a square frame, you can calculate its dimensions by clearing the value of each sides of it from the formula of the area of a square:

 A= L²
 L= √A
 L= √64 inches²
 L= 8 inches
 
 So, you have a square frame of 8 inches x 8inches = 64 inches²

 Set 1: 8 inches x 8 inches

 For set 2, you can make a rectangular frame with the following dimensions: 16 inches x  4 inches = 64 inches²

 Set 2: 16 inches x  4 inches
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Answer:

\theta = 82.2^\circ

Step-by-step explanation:

Let \  \angle BAC = \theta

Opposite = BC ,

Adjacent = AB = x = 3 ,

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<em><u>Using trigonometric ratios.</u></em>

sin \theta = \frac{opposite}{hypotenuse }\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}

Since we have adjacent and hypotenuse we use cosine's  ratio

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2 years ago
Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct
Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

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3 years ago
Which linear inequality is represented by the graph?
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Answer: y<-3x+4

Step-by-step explanation:

Option 4 (D)

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