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sleet_krkn [62]

2 years ago

7

Diane got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft stor

e. The price of the ribbon was 22 cents per yard. If after that purchase there was $12.08 left on the card. how many yards of ribbon did Diane buy?

1 answer:

elena-s [515]2 years ago

5 0

Answer:

36 yards of ribbon

Step-by-step explanation:

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Express sin110 as ratio of acute angle

lesya [120]

Answer:

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Step-by-step explanation:

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The ratio of girls to boys in a classroom is 5 to 4.how many girls are in the class if there is a total of 27 students

statuscvo [17]

5 girls : 4 boys
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*cancel students units*
= 27 ( 5 girls / 9)
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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.

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3 years ago

Kate Alexander worked 40 hours last week. Her pay rate is $8.50 per hour. Assuming 7.65% social security withholding, how much s

Andrej [43]

40 x 8.50 = 340
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So the employer should withhold $26.01 from her check for social security.

8 0

2 years ago