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klio [65]
3 years ago
14

The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwis

e relative to the original axes, the vector's components are

Mathematics
2 answers:
Natali5045456 [20]3 years ago
8 0
Original Vector components are +5 in x-axis & +7 in y-axis,

After rotating 90 degrees counterclockwise,

Now, Vector components are +7 in x-axis & +5 in y-axis.
lisabon 2012 [21]3 years ago
6 0
Refer to the diagram shown below.

Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023

The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°

The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5

Answer:  (-7, 5)

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Answer:

x=9

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A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth
horsena [70]

Answer:

50+(7d*13)+80+(9d*27)

Step-by-step explanation:

So, there are 13 food booths and each food booth is $50 plus $7 per day.

There are 27 game booths and each game booth is $80 plus $9 per day.

Lets make a short equation for each of the booths.

50+(7d*13)

80+(9d*27)

Lets combine both of the sentences.

50+(7d*13)+80+(9d*27)

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3 years ago
How was FDR a lasting impact on today's society?​
Gre4nikov [31]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:
Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

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Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

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or

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Second yellow: P4 = 5/8

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d) First blue: P1 = 3/9 = 1/3

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or

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8 0
3 years ago
What operation would you we to convert cups to gallon explain
UkoKoshka [18]
We'd divide. 

This is because:

Gallons are much more than cups. If we cant to convert cups to gallons, we divide to get a smaller unit. 

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2 gallons, 
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3 years ago
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