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vesna_86 [32]
3 years ago
14

Fill the blank with , or = please help quick!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

44. answer = a. (<)

45. answer = b. (>)

Step-by-step explanation:

To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.

So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:

10 / sin(mQRW) = 17 / sin(mRWQ)

sin(mQRW) / sin(mRWQ) = 10 / 17

The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)

In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:

15 / sin(mRTW) = 8 / sin(mTWR)

sin(mRTW) / sin(mTWR) = 15 / 8

If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)

Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.

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If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add
MatroZZZ [7]

Answer:

Step-by-step explanation:

To solve using completing square, we need to write the equation as x2+3x=17.

The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4

The equation then becomes x2+3x+(9/4)=17+(9/4).

Solving it further will get you the final answer

8 0
2 years ago
What is the solution set of x2 + 5x - 5 = 0?
Llana [10]

If you're completing the square the answer is in the image.

expression

x^2 + 5x - 5=ax^2+bx+c

a=1, b=5, c=-5, and you can solve it that way.

4 0
3 years ago
HELP PLEASE DUE IN 3 MINUTES
Anarel [89]

Answer:

101

Step-by-step explanation:

If you add up all of the answers, it equals 101 due to the fact of just adding all of the x's together in a row.

6 0
2 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
172.97297297297297297297297297297=what
the number is about 173

5 0
3 years ago
Find sin(a+B)
diamong [38]

Answer:

Cos A=5/13

we have

Cos² A=1-Sin ²A

25/169=1-Sin²A

sin²A=1-25/169

sin²A=144/169

Sin A=\sqrt{144/169}=12/13

again

Tan B=4/3

P/b=4/3

p=4

b=3

h=\sqrt{3²+4²}=5

Now

Sin B=p/h=4/5

in IV quadrant sin angle is negative so

Sin B=-4/5

CosB=b/h=3/5

Now

<u>S</u><u>i</u><u>n</u><u>(</u><u>A</u><u>+</u><u>B</u><u>)</u><u>:</u><u>s</u><u>i</u><u>n</u><u>A</u><u>c</u><u>o</u><u>s</u><u>B</u><u>+</u><u>C</u><u>o</u><u>s</u><u>A</u><u>s</u><u>i</u><u>n</u><u>B</u>

<u>n</u><u>o</u><u>w</u><u> </u>

<u>substitute</u><u> </u><u>value</u>

<u>Sin(A+B):</u>12/13*3/5+5/13*(-4/5)=36/65-4/13

<u>=</u><u>1</u><u>6</u><u>/</u><u>6</u><u>5</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>

6 0
2 years ago
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