Answer:
2 and 178
Step-by-step explanation:
If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)
We get, = 89x+x=180
=> 90x=180
=> x=180/90
=> x =2
So, we found that x=2 , hence the other angle is going to be 2*89=178
This is correct as 2+178=180(as they are supplementary to each other)
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Answer:
$172.35
Step-by-step explanation:
The computation of the amount need to pay for 795 gallons is shown below
Up to 500 gallons it charges $0.15 per gallon
And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon
So for 795 gallon, the total amount would be
= 500 × $0.15 - (795 - 500) × $0.33
= $75 + $97.35
= $172.35
X^2 - 16x + 56 = 0
= (x - 8)^2 - 64 +56= 0
= (x - 8)^2 - 8 = 0
x^2 - 8x + 11 = 0
(x - 4)^2 - 16 + 11
(x - 4)^2 - 5 = 0
(x + 15)(x + 5) = 96
x^2 + 20x + 75 = 96
(x + 10)^2 - 100 + 75 = 96
(x + 10)^2 = 96 +25 = 121
taking square roots:-
x + 10 = 11
x = 1
A digit in the ten thousand place has a value of 10,000 times the value of the mere digit. While a digit in the thousands place has a value 1,000 times the value of the digit. So to compare you can do 10,000 / 1,000 = 10, which means that<span> a digit in the ten thousand place values ten times what the same digit values is it is the thousand place. </span>
A graphing calculator shows four (4) zeros of
f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°
Solutions are
x ∈ {23°, 129°, 143°, 263°).
_____
You can make use of a couple of trig identities to rearrange this equation.
cos(x) = sin(x+90°)
sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
(3x +111°)/2 = n*180° +90°
3x -69° = n*360°
x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
(x -129°)/2 = n*180°
x = 129° +n*360° . . . . . for any integer n
Combined, these solutions give the ones listed above in the range 0..360°.