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TiliK225 [7]
3 years ago
10

cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve thi

s problem, I’m looking at other examples but I’m still confused please help
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

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3 years ago
What is the equation written in vertex form of a parabola with a vertex of (–1, 8) that passes through (1, 0)?
Archy [21]

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

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So therefore the equation of the parabola is ;

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Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
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3 years ago
Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided
Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

                Total Hours

                   Worked

Week 1        37.500    

Week 2       36.071

Week 3      35.999

Week 4      34.570

Total          144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                               Design   Deliverables    Worked

Week 1        7¹/₄               4¹/₄                  23¹/₃              2²/₃

Week 2       4²/₃              2⁴/₇                  16¹/₃              12¹/₂

Week 3      3.50             3.83                9.33              19.33

Week 4      6.17                3.40                4.20              20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                              Design   Deliverables    Worked

Week 1        7.250            4.250           23.333           2.667          37.500    

Week 2       4.667            2.571             16.333         12.500          36.071

Week 3      3.500            3.833              9.333          19.333         35.999

Week 4       6.170            3.400             4.200        20.800          34.570

Total        21.587            14.054            53.199        55.300         144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

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Step-by-step explanation:

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