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Digiron [165]
4 years ago
7

Mahala is standing and fishing on a dock that is 2 1/4 feet above the surface of the water in the pond. Her baited hook is 1.5 f

eet below the surface of the water. The surface of the water is represented by the rational number 0. Use the number line to graph the distance the dock, point D, is above the water and the hook, point H, is below the water. Make sure you label each point appropriately.

Mathematics
1 answer:
Ugo [173]4 years ago
8 0

Answer:

The graph is shown below.

Step-by-step explanation:

Take the distance above surface of water as positive and negative for below the surface.

Given:

Distance of dock from the surface of water, D=2\frac{1}{4}=\frac{9}{4}=2.25\textrm{ ft}

Distance of hook from the surface of water, H=-1.5\textrm{ ft}

The surface of water is the reference point and hence it has a value of 0.

Now, on a number line, the values to the left of 0 mark is negative and values to the right are positive.

Therefore, H will lie on the left of 0 mark and D will lie on the right as shown below.

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In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find th
pashok25 [27]

The hypotenuse is 20 ft

Step-by-step explanation:

  • Step 1: This is a right triangle, so the trigonometric ratio cosine can be used to find the length of the hypotenuse. Given side opposite to ∠B, AC = 18 ft and ∠A = 40°,

cos 40° = adjacent side/hypotenuse = AC/AB = 18/AB

⇒ AB = 18/cos 40° = 18/0.76 = 23.5 ft ≈ 20 ft

8 0
4 years ago
The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad 
\begin{cases}
v=\textit{linear velocity}\\
r=radius\\
w=\textit{angular velocity}\\
----------\\
r=18in\\
w=1302\frac{\pi }{min}
\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}
\\\\\\
v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
alexandr1967 [171]

Answer:

y = 1/5x + 2

Step-by-step explanation:

y = 1/5x + b

4 = 1/5(10) + b

4 = 2 + b

2 = b

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3 years ago
How many are there write answer and how you solved
V125BC [204]

Answer:

5.2 hours

Step-by-step explanation:

To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.

3.25 × 1.6 = 5.2

In other words, Neal takes 5.2 hours to run the marathon. Let me know if I can help you with anything else, 'kay?

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Kathy swims at least 6 laps every day. Write an
umka2103 [35]

Step-by-step explanation:

she swims at least 45 min's a day

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