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To find this other side given an angle and a side, we will use a trigonometric function. The three basic ones are sine, cosine, and tangent. You can remember these and what what they are using the mnemonic "soh cah toa".
SOH: Sine= Opposite/Hypotenuse
CAH: Cosine= Adjacent/Hypotenuse
TOA: Tangent= Opposite/Adjacent
We see that the sides involved are the opposite and hypotenuse.
Therefore, we can write this equation.
sin40= w/28
We multiply both sides by 28 to isolate the w.
28×sin40=w
Now, we find the sine of 40 on our calculator and then we multiply it by 28.
w≈18
Therefore, the answer is 18 cm.
I hope that this helps! Have a wonderful day!
Hello,
1) k = (-5) * (-5) = 25
3) x = 12 * 0 = 0
5) y = (-4) * (-12) = 48
7) z = 0 * 9 / 1 = 0
9) x= 18 / -3 = -6
11) p = -8 / 8 = -1
13) h = 42 / 14 = 3
15) m = -42 / 6 = -7
17) x = -9 * -11 = 99
19) v = -17 / -17 = 1
21) h = 3,136 / 56 = 0,056
23) x = 4,200 / 30 = 0,14
25) m = 21 * -3 = -63
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Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1
Step-by-step explanation:
When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.
Answer:
135
Step-by-step explanation:
a line always has a degree of 180 so u just subtract 45 from 180 and get 135
Answer:
Two straight lines with slopes m and m' are parallel when m = m'
Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.
Step-by-step explanation:
Let us assume that the two non-vertical lines in the slope-intercept form are
y = mx + c ........... (1) and
y = m'x + c' ............ (2)
If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'
Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)