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Fittoniya [83]
3 years ago
10

1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angl

e of 45° below the horizontal. (Leave answers in exact form)
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

<70.71, -70.71>

Step-by-step explanation:

The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

horizontal component = module * cos(angle)

horizontal component = 100 * cos(-45)

horizontal component = 70.71

vertical component = module * sin(angle)

vertical component = 100 * sin(-45)

vertical component = -70.71

So the vector in the component form is <70.71, -70.71>

The negative sign of the vertical component means its direction is downwards.

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Makovka662 [10]

Answer:

2g + 2f = 5.16

7g + 9f = 21.24

Step-by-step explanation:

Let

Gala = g ; Fuji = f ; jazz = j

g + f + j = 5.16 - - - (1)

j = g + f - - - (2)

From (1):

g + f + g + f = 5.16

2g + 2f = 5.16 - - - (3)

Total pound picked by Tanner = 12

3 Pounds of g ; 5 pounds of f

j = 12 - (5 +3) = 4 pounds

3g + 5f + 4j = 21.24 - - - (4)

3g + 5f + 4(g + f) = 21.24

3g + 5f + 4g + 4f = 21.24

7g + 9f = 21.24 - - - - - (5)

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3 years ago
Is bac=lmn a valid congruence statement
stich3 [128]

Answer:

Yes, ΔBAC ≅ ΔLMN

Step-by-step explanation:

BA = LM  

AC = MN

BC = LN

ΔBAC ≅ ΔLMN      {Side Side Side congruence}

4 0
3 years ago
Given the function: f(x) = 2x2 - 3x + 8, find f(-2). <br> A) -22 <br> B) -11 <br> C) 11 <br> D) 22
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4 years ago
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you can buy 5 cans of green beans at a supermarket for $3.40. how much does it cost to buy 35 cans of green beans​
Licemer1 [7]

Answer:

$23.80

Step-by-step explanation:

  1. Divide 35 by 5: 35 ÷ 5 = 7
  2. Multiply $3.40 by 7: $3.40 • 7 = $23.80
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Answer:

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Step-by-step explanation:

Because the center of the circle is at (9 , 9) and passes through (4 , 9), <u>the radius must be 5.</u>

<em>Radius</em> - The length from the center of a circle to its edge

<em>Diameter</em> - The length from one edge of a circle to the opposite edge

The diameter is double the length of the radius, meaning D = 2(5).

2 × 5 = 10

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