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Rashid [163]
3 years ago
12

I need help on how to solve this type of question

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

<X = 36

<Y = 72

<W = 108

<Z = 144

Step-by-step explanation:

Since this shape is a quadrilateral, all angles add up to 360

x + 3x + 4x + 2x = 360

10x = 360

x = 36

<X: x

36

<W: 3x

3(36) = 108

<Y: 2x

2(36) = 72

<Z: 4x

4(36) = 144

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Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
Read 2 more answers
the perimeter of a rectangular garden is 52 feet the length of the garden is 4 feet less than twice the width what is the width
777dan777 [17]

The width would be 10ft and the length would be 16ft

when you multiply 10 by 2 and 16 by 2 you get 20 and 32 and when those are added it gets 52

Hope that helps

If you have any questions leave a comment

7 0
3 years ago
If I had 200 juul pods and 400 juuls how many more pods do I have to buy in order for every juul to have a pod?
Lena [83]

Answer:

You have to buy 200 more juul pods.

Step-by-step explanation;

400-200 = The amount of juul pods needed for every juul to have a pod.

400-200 = 200

6 0
3 years ago
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In a bag there are 13 red marbles 5 blue marbles and 7green marbles what percent of the marbles are green
Anna71 [15]
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sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia fin
Arlecino [84]

Answer:

12 hours

Step-by-step explanation:

Full time job:

Earning per week = $475

Part time job :

Earning per hour = $11

Number of working hours per week at per time job to increase weekly earning to atleast $600 ;

Let number of hours = h

Full time earning + earning per hour * (number of hours) ≥ 600

$475 + ($11 * h) ≥ 600

$475 + $11h ≥ 600

11h ≥ 600 - 475

11h ≥ 125

h ≥ 125 / 11

h ≥ 11.36

Hence, sharia will need to work for 12 hours per week

5 0
3 years ago
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