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Vlad [161]
3 years ago
10

7

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

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IrinaVladis [17]

Answer:

7/1024 and 7/4096

Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

5 0
3 years ago
Solve by substitution
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Answer:

A

Step-by-step explanation:

y = -9 ------(1)

9x -4y = -9 -------(2)

substitute (1) into (2)

9x - 4 (-9) = -9

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x = -5

there you go, x = -5 and y = -9

so. (-5 , -9 )

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7 0
2 years ago
River C is 300 Miles Longer than River D. If the sum of their lengths is 5,570 miles, what is the length of each river?
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6 0
3 years ago
A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted
mylen [45]

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4 0
3 years ago
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students
Roman55 [17]

Answer:

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Step-by-step explanation:

<u>Given:</u>

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<u>Find z-score:</u>

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<u>Percentage of students earned more than $104:</u>

  • 100 - 97.72 = 2.28
5 0
3 years ago
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