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melamori03 [73]
3 years ago
12

What are two different numbers that round to 8.21 when they are rounded to the nearest hundredth

Mathematics
2 answers:
Andreyy893 years ago
6 0

I think it could be 8.212 and 8.213

galina1969 [7]3 years ago
3 0

8.213 and 8.214

You just have to add a single number to the end that is less than five.

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What is the period of the function f(x)=sin(x/3) ?
vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0
3 years ago
A surveyor measures the angle of elevation to a point on a mountain, that is 6 miles away, to be 15 degrees. The vertical change
cricket20 [7]
You can draw a right triangle with the informatio.

The vertical change in elevation (unknown) is the opposed leg to the angle 15°

The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.

Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles

Answer: 1.61 miles
6 0
3 years ago
Read 2 more answers
Sam can prepare 20 wall paintings in 4 weeks. How much time will he need to
Nadusha1986 [10]
Answer:
20=4 weeks
40=8 weeks
60=12 weeks
80=16 weeks
 Hope I helped :)
3 0
3 years ago
Select all of the following tables which represent y as a function of and are one-to-<br> one.
zvonat [6]

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

5 0
2 years ago
Find the percent of change from 15 books to 20 books.<br><br><br> I AM SO LOST
vivado [14]

Answer:

33.3333333333

Step-by-step explanation:

4 0
3 years ago
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