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stira [4]
3 years ago
12

Hana buys a new dress for $40. how much does she pay if there is a 7% tax

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

$42.80

Step-by-step explanation:

We can set up an equation to solve this as such

40*1.07=42.80

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A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na
ira [324]

Answer:

Approximately 58.2\; \text{nautical miles} (assuming that the bearing is {\rm S$29^{\circ}$W}.)

Step-by-step explanation:

Let v denote the speed of the ship, and let t denote the duration of the trip. The magnitude of the displacement of this ship would be v\, t.

Refer to the diagram attached. The direction {\rm S$29^{\circ}$W} means 29^{\circ} west of south. Thus, start with the south direction and turn towards west (clockwise) by 29^{\circ} to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of v\, t. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly 29^{\circ}.

Since the hypotenuse is of length v\, t, the dashed line segment opposite to the \theta = 29^{\circ} vertex would have a length of:

\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}.

Substitute in \begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned} and t = 6\; \text{hour}:

\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}.

7 0
2 years ago
Which shows the list above in order from LEAST to GREATEST<br><br> I’ll mark brainlist : )
irina1246 [14]
The answer is A!

-4.82, -4(2/3) = - 4.667, sqrt 15 is 3.873, 4.15, 465% is 4.65, and 1.5pi =4.65
Hope this helps!
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Decimal 0.0155 mn 31/2000
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A survey showed that students were 2:3 in favour of the new team logo. In all, 780 people were surveyed, how many were in favour
defon
468 students were in favour of the new logo
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2 years ago
Read 2 more answers
I NEED HELP PLEASE, THANKS! :)
maxonik [38]

Answer:

Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

Step-by-step explanation:

This is Principle of Mathematical Induction ---PMI

Step 1: Verify that Sn is valid for n =1

Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

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3 years ago
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