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3 years ago

How much greater was Miami's annual rainfall than Albany's?

1 answer:

3 0

A- 46.92
M-61.05
N-?

N=A+.33
N=47.25
61.05-46.92= Miami's annual rainfall is 14.13 inches more than Albany
61.05-47.25=Nashville got 13.8 inches less than Miami

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Please help this is for math....

Gnesinka [82]

So here you want to show all values greater than the parabola shown. The following parabola can be found by looking at the x intercepts. Here you have x=-3 and x=2. So your parabola can be defined as y=(x+3)(x-2) because when you make those two equal to zero you get x=-3 and x=2. And so then you go ahead and do the FOIL method for both of them when you multiply and you get

y=x²-2x+3x-6 which is

y=x²+x-6

Because the parabola is shaded above, it indicates that all the values greater than y are shaded and it’s with a solid line, therefore your answer for this inequality would be choice B. I hope this helps!!

7 0

2 years ago

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d

nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

Displacement A: 2.50 km and 45° north of west

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

Displacement B: 4.70 km and 60° south of east

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

Displacement C: 1.30 km and 25° south of west

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

Displacement D: 5.10 km due east (0°)

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

Displacement E: 1.70 km and 5° east of north

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

Displacement F: 7.20 km and 55° south of west

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

Note: minus (-) symbol to negative directions

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

$R = \sqrt{Rx^{2} +Ry^{2} }$

$R =\sqrt{(3.28)^{2}+(-6.57)^{2} }$

R = 7,34 km

To find the direction of the resultant:

tanФ = $\frac{Ry}{Rx}$

tanФ = $\frac{6.57}{3.28}$

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

Download pdf

3 0

3 years ago

What is the volume of this rectangular prism, given the area of the base is 14

GREYUIT [131]

Answer:

Wow, I'm learning this in class right now lol, the answer is C, 42cm cubed.

Step-by-step explanation:

The formula for finding volume fo 3d shapes is area of base x height/length.

In this problem, they give you both of those. 14 x 3 = 42, so the answer is C.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

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2 years ago

A train leaves Boston at noon going to NYC with a speed of 60 mph. Two hours later, an express train leaves NYC going to Boston

makvit [3.9K]

They will meet at 2:40 I think?

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3 years ago

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In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, hoW many light colors are there.

Kisachek [45]

Answer:

Step-by-step explanation:

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3 years ago

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