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Anika [276]
3 years ago
15

Determine the missing side length

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

√85

Step-by-step explanation:

The given shape is a right angled triangle.

Let the missing side length be " x ".

By Pythagoras theorem,

x² = 6² + 7²

x² = 36 + 49

x² = 85

x = √85

Therefore, the missing side length be √85.

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If a new soccer ball is labeled $45, what would the new price be if the sign above it says "63% off"?
Paul [167]

Answer:

New price of the ball after discount = $16.65

Step-by-step explanation:

Selling price of the soccer ball = $45

Discount labeled on the ball = 63% off

Therefore, selling price after the discount = Original selling price - %discount

= $45 - (63% of $45)

= $45 - $28.35

= $16.65

New price of the ball after discount = $16.65

3 0
3 years ago
What is the mean ( average) of the data set: 3/4, 13/5 , 14/10, and 6/24?
irinina [24]
Add them all together and divide by the number of variables here there are four and the answer is 1.25 or 5/4
3 0
3 years ago
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How do you find the value of c that satisfy the equation:
victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

<u>Step(i)</u>:-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

<u> Mean Value theorem</u>

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

f^{l} (c)  = \frac{f(b) -f(a)}{b-a}

<u>Step(ii):</u>-

Given  f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

          f¹(x) = 4(2x) +4(1) = 8x+4

<u>Step(iii)</u>:-

By using mean value theorem

f^{l} (c)  = \frac{f(0) -f(-1)}{0-(-1)}

8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

c = \frac{-4}{8} = \frac{-1}{2} = -0.5

c ∈ (-1,0)

<u>Conclusion</u>:-

The value of c = -0.5∈ (-1,0)

         

<u></u>

8 0
3 years ago
Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumb
a_sh-v [17]

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

5 0
2 years ago
Ms. Carson's art class made a large rectangular mural. The length of the mural is 9 feet, and it's area is 72 square feet. What
lorasvet [3.4K]
You do the reverse and divide the 2 values to find out the last one

72/9 = 8

Do you get it?
8 0
3 years ago
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