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docker41 [41]
1 year ago
14

Suppose angles a and B are the two acute angles in a right triangle and that b < a. Apply the relationship between sine and c

osine todetermine which statements are correct.sin(6x - 10) = cos(4x + 10)A)x = 9B)a = 46°a = 48°D)B = 42°E)B = 44
Mathematics
1 answer:
Valentin [98]1 year ago
5 0

The right statements are: A, B and E

Sin(A)=cos(B)

then we check if using x=9 this holds true:

sin(6x-10)=cos(4x+10)

sin((6*9)-10) = sin(44º)

cos(4x+10)=cos(46)

Sin(44)=0.694=cos(46)

then a is true

Now, we know that b

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Original 150 New 150 what’s the percent
Firlakuza [10]

Answer:

100%

Step-by-step explanation:

if the original, 150, was 100% (which it is), and you added or subtracted to get 150 as well, nothing would change, still making it 100%

8 0
3 years ago
Pi/6 is the reference angle for:
Ksju [112]
Option B. 13π/6 and Option D. 5π/6

To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
8 0
2 years ago
Use the distributivity of multiplication of rational numbers over addition to simplify:
kipiarov [429]

9514 1404 393

Answer:

  3/8

Step-by-step explanation:

The distributive property tells you the outside factor multiplies each term inside parentheses.

  a(b +c) = ab +ac

  (-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)

  = -12/56 +33/56 = 21/56 = 3/8

3 0
3 years ago
If f(x) = -x – 5 and g(x) = x2 – 15,<br> find f(-9) – 9(-3).<br> Your aſswer
muminat

Answer:

31

Step-by-step explanation:

f(-9) = -(-9)-5

= 9-5

= 4

f(-9) - 9(-3) = 4 - (-27)

= 31

7 0
3 years ago
Ellen deposits $6,773 into an account earning 1% annually, After seven years what will Ellen's balance have grown to, including
lara31 [8.8K]
<span>If Ellen deposited 6 773 dollars in her account and did not withdraw any amount for 7 years.
Then she will earn this amount.
=> 1% interest rate per year
=> first year = 6 773 x .01 = 67.73
=> 6773 + 67.73 = 6840.73
=> Second year = 6840.76 * .01 = 68.4073
=> 68.4073 + 6840.76 = 6909.1673
=> Third year = 6909.1673 * .01 = 69.09
=> 6909.1673 + 69.09 = 6978.26
=>4th year = 6978.26 * .01 = 69.78
=> 6978.26 + 69.78 = 7004
=> 5th year = 7004 *.01 = 70.04
=> 7004 + 70.04 = 7074.04
=> 6th year = 7074.04 * .01 = 70.74
=> 70.74 + 7074.04 = 7144.78
=> 7th year = 7144.78 *.01 = 74.45
=> 7144.78 + 74.45 = 7216.23</span>



3 0
4 years ago
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