7x - 9 < 12
7x < 12 + 9
7x < 21
x < 21/7
x < 3
1/4x + 8 > 11
1/4x > 11 - 8
1/4x > 3
x > 3 * 4
x > 12
solution : x < 3 or x > 12
Answer:
32°
Step-by-step explanation:
use this formula :
Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:
Sin(x) = 28/53
Sin(x)= 0.5283018868
So to find x just do Sin^-1
x = Sin^-1 (0.5283018868)
you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚
if you put them into your calculator you will get 32˚ as your answer
Let the width of the yard be w.
Since the length is 18feet longer, l = w + 18
Perimeter for rectangle = 2(l + w)
2(l + w) = 72
2(w+18 + w) = 72 Divide 2 on both sides
(w + 18 + w) = 36
2w + 18 = 36
2w = 36 - 18
2w = 18 Divide 2 on both sides
w = 18/2
w = 9
Recall, length l = w + 18, l = 9 + 18 = 27
Hence width, w = 9, length,l = 27
Area of rectangle = l × w = 27 × 9 = 243
Area of rectangular yard = 243 square feet.
The answers are
a) the domain is all real numbers
d) the input to an exponential function is the exponent
e) the base represents the multiplicative rate of change
hope this helps :)
When an account is rounded off to its nearest dollar will
change based on the place value.
For example, the given account of money if $ 56 730, then it
will be rounded to its nearest ten thousands. Then the given amount will be
rounded to $57,000 in where the given money rounded up and gain up to $300. But
if the money will be rounded with its nearest hundreds, the money will become $
56,700. Notice that the given money rounded down and lost $30 dollars.