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GenaCL600 [577]
3 years ago
15

Thomas bought 9 1/3 feet of of wood to fix his fence. When he finished, he had 3 2/3 feet of of wood left. How much wood did Tho

mas use to fix his fence
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

He used 17/3 feet = 5 and 2/3 feet

Step-by-step explanation:

∵ He bought 9 and 1/3 feet = 28/3 feet

∵ He had 3 and 2/3 feet left = 11/3 feet

∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet

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A plane decides to travel along AB towards the North with a velocity of V.
Maru [420]

Step-by-step explanation:

The wind has a speed of w and a direction α with the vertical.  The x component of that speed is w sin α.  The y component is -w cos α.

In order to stay on the north trajectory AB, the plane must have a horizontal speed of -w sin α.  The plane's speed is v, so using Pythagorean theorem, the y component of the plane's speed is:

v² = (-w sin α)² + vᵧ²

v² = w² sin²α + vᵧ²

vᵧ = √(v² − w² sin²α)

The total vertical speed is therefore √(v² − w² sin²α) − w cos α.

If a is the length of AB, then the time is:

t = a / [√(v² − w² sin²α) − w cos α]

To rationalize the denominator, we multiply by the conjugate.

t = a / [√(v² − w² sin²α) − w cos α] × [√(v² − w² sin²α) + w cos α] / [√(v² − w² sin²α) + w cos α]

t = a [√(v² − w² sin²α) + w cos α] / (v² − w² sin²α − w² cos²α)

t = a [√(v² − w² sin²α) + w cos α] / (v² − w²)

8 0
3 years ago
What is 7 9/13 as an improper fraction
jasenka [17]
7 9/13
= (7×13)+9/13
= 91+9/13
= 98/13 (as an improper fraction).
6 0
3 years ago
Hi, I need help with this
skelet666 [1.2K]
The value of x in the traingle is 5
---
3 0
3 years ago
Which set of measurements could be the side lengths of a triangle?
Artist 52 [7]
We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok

case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok

case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok

case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok

the answer is
</span><span>A. 5M, 11M, 7M</span>
6 0
3 years ago
Please help meee!!! It's urgent!!!<br><br> What is the equation of the line shown in this graph?
Rudiy27

Answer:

Vertical Lines

Similarly, in the graph of a vertical line, x only takes one value. Thus, the equation for a vertical line is x = a, where a is the value that x takes. Since x always takes the value 2 = , the equation for the line is x = .

Step-by-step explanation:

8 0
3 years ago
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