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masya89 [10]
3 years ago
6

The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 98 inches, what are the dimensi

ons of the rectangle?
Mathematics
1 answer:
beks73 [17]3 years ago
7 0
Let width = x

length = 2x + 1

perimeter = 2 (L) + 2 (W)

98 = 2 (x) + 2 (2x + 1)
98 = 2x + 4x + 2
98 = 6x + 2
96 = 6x
96/6 = x
16 = x

width = 16 in

length = 2x + 1 = 2 (16) + 1 = 33 in
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You can also say that the value of 5 in the thousands place is 10 times less than the value of 5 in the ten-thousands place.
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2 years ago
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
How do you do this trig problem.
loris [4]

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because

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7 0
2 years ago
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liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

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Sample mean : \overline{x}=\$\ 3.13

Standard deviation : \sigma= \$\ 0.23

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

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Greeley [361]

Step-by-step explanation:

may be the answer be 465 but the answer may be wrong too

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