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Maurinko [17]
2 years ago
14

How long would it take to run the 100-yard dash if you could average 10 yards/second?

Mathematics
1 answer:
yuradex [85]2 years ago
4 0

Answer:

10 times

Step-by-step explanation:

10 times each b

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
3 years ago
a room has a length of 11 ft if the room has an area of at least 133 ft what does the width of the room have to be at least
MissTica

Area is the length times the width.

When you know the area and one of the dimensions, divide the area by the known dimension to find the other one.

133 / 11 = 12.09

The room needs to be at least 12.09 feet wide. ( round answer if needed).

7 0
3 years ago
What else would need to be congruent to show that ABC= DEF by ASA?
babunello [35]

Answer:

Option A

then you would have an angle, a side and another angle (ASA) next to each other

Opt.B would be a second sude (SAS)

Opt.C is already given

Opt.D seems to be like (A-S-S). no pun intended.

5 0
3 years ago
Square the binomial (r+s). what is the result?
baherus [9]

Answer:

answer is b)

{(r + s)}^{2}  =  {r}^{2}  + 2rs +  {s}^{2}

6 0
2 years ago
Question 13 pls, that is the full question and there is no diagram
insens350 [35]
For similar figures, the ratio of areas is the square of the ratio of linear dimensions. The smaller billboard requires
.. (4/5)^2 * 250 ft^2 = 160 ft^
of material.
3 0
2 years ago
Read 2 more answers
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