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denis-greek [22]
1 year ago
15

Sketch the vectors u and w with angle θ between them and sketch the resultant.

Mathematics
1 answer:
Rama09 [41]1 year ago
8 0

Given:

Two vectors (u) and (w) and the angle between them θ

\begin{gathered} |u|=50 \\ |w|=12 \\ \theta=35\degree \end{gathered}

the sketch of the vectors will be as shown in the following figure:

As shown, the resultant vector is the blue line segment

The vector R has a magnitude = 60.22

And the angle between u and R = 5.56°

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3 years ago
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22
mixas84 [53]

Answer:

239 ft².

Step-by-step explanation:

Let P represent the price for tiling.

Let S represent the size of the room.

From the question,

Price (P) varies directly as the size (S) i.e

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P = KS

Where K is the constant of proportionality.

Next, we shall determine the value of K as follow

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Divide both side by 264

K = 4224/264

K = 16

Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.

This is illustrated below:

Price (P) = $ 3824

Constant of proportionality (K) = 16

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3824 = 16 × S

Divide both side by 16

S = 3824/16

S = 239 ft²

Therefore, the size of the kitchen is 239 ft².

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3 years ago
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\begin{array}{rcll}-2x +8 + 5x & > & 2x + 1 & \\3x + 8 & > & 2x + 1 & \text{Simplified}\\x + 8 & > &1 & \text{Subtracted 2x from each side}\\x  & > & -7 & \text{Subtracted 8 from each side }\\\end{array}\\\boxed{\mathbf{x > -7}} \text{ satisfies the inequality}

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