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2 years ago

What's the w for sin w=1/7?!

1 answer:

6 0

$\sin w=\dfrac{1}{7}\\\\
w=\arcsin \left (\dfrac{1}{7}\right)+2k\pi \vee w=-\arcsin \left (\dfrac{1}{7}\right)+\pi + 2k\pi
$

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Samantha wants to use her savings of 1150 to buy shirts and watches for her family. The total price of the shirt she bought was

ioda

Answer-

The maximum number of watches that Samantha come by with her savings is 10.

Solution-

The amount of money Samantha has in her savings account = $1150

She wants to buy shirts and watches.

Cost of one shirt = $84

Cost of each watch = $99

Let she can buy maximum of x watches, so the net price of the watches is $99x.

Then,

$\Rightarrow 99x+84=1150\\\\\Rightarrow 99x=1150-84\\\\\Rightarrow 99x=1066\\\\\Rightarrow x=\dfrac{1066}{99}\\\\\Rightarrow x=10.77$

As the number of watches can not be in fraction, so at most she can buy 10 watches.

8 0

3 years ago

Find the arc length (to the nearest inch) of the sector of a circle with a radius 14 inches and a central angle of 0=108°

forsale [732]

Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches

4 0

3 years ago

A farm had 480 acres more wheat than corn. After the farmers collected 80% of the wheat and 25% of the corn, the area of the whe

SVEN [57.7K]

A farm had 480 acres more wheat than corn. Let use "W" to represent the Wheat and let use "C" to represent the corn. Hence, we have below:
W=C+480

The farmers collected 80% of the wheat and 25% of the corn and the area of the wheat is 300 acres less than the area of the corn:
W-0.8W=C-0.25C+300
0.2W=0.75C+300
We have two equations, two unknowns:
0.2(C+480)=0.75C+300
0.2C+96=0.75C+300
0.55C=294
C=534.55

6 0

2 years ago

Read 2 more answers

Help with question 5,9, and 13. It would be a big help.

solniwko [45]

I am using "x" but alphabet letter does not matter.

#9

Words: x is greater than or equal to -4
Algebra: x ≥ -4
Possible solutions: 0,1,2

#13

Words: x is greater than 0
Algebra: x > 0
Possible solutions: 1,2,3

3 0

2 years ago

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

(Note: this answer is assuming that the equation has to be put in slope-intercept format.)

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

3 0

3 years ago