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Vinvika [58]
2 years ago
10

-h+4=-h+4 solve for h

Mathematics
1 answer:
zlopas [31]2 years ago
3 0

Answer:

h=all real numbers

Step-by-step explanation:

both sides are the same, so any number would work

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Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.
Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

Arc\,Length=\theta\,*\,radius, where \theta is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle \theta using the above equation as shown below:

Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad

6 0
3 years ago
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini
Trava [24]
The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
5 0
2 years ago
Read 2 more answers
Which graph corresponds to the following inequality? A. B. C. D.
zlopas [31]
I can see the question but if you add a picture maybe i’ll understand it a little more
6 0
2 years ago
Please help anybody I need to fast please
elena55 [62]
Answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
5 = -5t
/-5 /-5
-1 = t
4 0
2 years ago
Please help me…………….
valina [46]

9514 1404 393

Answer:

  54.8 km

Step-by-step explanation:

The sketch and the applicable trig laws cannot be completed until we understand what the question is.

<u>Given</u>:

  two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°

<u>Find</u>:

  the distance between the boats after 3 hours, to the nearest 10th km

<u>Solution</u>:

A diagram of the scenario is attached. The number next to each line is the distance it represents in km.

The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...

  c² = a² +b² -2ab·cos(C)

where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.

The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.

  c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558

  c ≈ √3000.2558 ≈ 54.77

The boats are about 54.8 km apart after 3 hours.

7 0
2 years ago
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