Jane: Think: the hypotenuse of her ramp is 14 inches and the angle opposite the rise is 30 degrees. Thus, cos 30 deg = (adj side) / (hyp) = (adj side) / (14 in).
Solving for (adj side), we get (adj side) = (14 in)(sqrt(3)/2) = 7 sqrt(3) inches.
Answer:
Step-by-step explanation:
The submarine is underwater for 6 seconds. The submarine hits the water after 1 second and comes back up at the 7th second.
On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
Absolute Value
Absolute Value
means ...
... only how far a number is from zero:
<span>
<span><span>
</span>
<span>
<span>
"6" is 6 away from zero,
and "−6" is also 6 away from zero.
So the absolute value of 6 is 6,
and the absolute value of −6 is also 6 </span>
</span>
</span></span>
More Examples:
<span><span>The absolute value of −9 is 9</span><span>The absolute value of 3 is 3</span><span>The absolute value of 0 is 0</span><span>The absolute value of −156 is 156</span></span>
No Negatives!
So in practice "absolute value" means to remove any negative
sign in front of a number, and to think of all numbers as positive (or
zero).
Absolute Value Symbol
To show that we want the absolute value of something, we put
"|" marks either side (they are called "bars" and are found on the right
side of a keyboard), like these examples:
<span>
<span><span>
|−5| = 5
|7| = 7
</span>
</span></span>
Sometimes absolute value is also written as "abs()", so abs(−1) = 1 is the same as <span>|−1| = 1</span>
