This is a division problem.
20 divided by 1 1/4
20/(1 1/4) = 20/(5/4) = 20/1 * 4/5 = 80/5 = 16
There are 16 cans.
Answer:
The answer is 5.
Step-by-step explanation:
Use order of operations. Parentheses come first, so I will compute what is in parentheses first. 11-3 is 8. Then, division comes next. I will divide 8 by 2 to get 4. Lastly, add 1 to get 5.
Answer:
x = - 7 , x = 2 , x = 1
Step-by-step explanation:
note that
p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0
since p(1) = 0 , then x = 1 is a zero
using synthetic division
1 | 1 4 - 19 14
↓ 1 5 - 14
------------------------
1 5 - 14 0
quotient is x² + 5x - 14
equating quotient to zero
x² + 5x - 14 = 0
(x + 7)(x - 2) = 0
equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
then zeros are x = - 7, x = 2 , x = 1
Y = - 3/2 x - 15
I hope this helps :)
sin theta = -9/41, where theta is in Q IV; find the angle theta:
Here the opp side is -9, the hyp. is 41. The adj side is found by applying the Pyth. Thm.:
(-9)^2 + x^2 = 41^2
81 + x^2 = 1681. Then x^2 = 1600, and the adj. side (x) is +40. We know it's +40 because theta is in Q IV.
The angle theta is arcsin (-9/41). Using a calculator,
arcsin (-9/41) = -0.22 radians (which is correct because theta is in Q IV, just as -0.22 rad is in Q IV. You could express theta as a positive angle by subtracting 0.22 rad from 2pi rad: 1.78 rad. You could, of course, change these angles in radians into angles in degrees.
