Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
Answer:
you divide the number by 60 and get 1.83333333 then you have 1 (whole number with 83333333/100000000
Step-by-step explanation:
Answer:
63.90 is greater than63.990
Answer:
ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .
π x 82 cm2 x 12 cm
Raise 8 cm power of 2
π x 64.0 cm2 x 12 cm
Multiply 64.0 cm2 and 12 cm
π x 768.0 cm3
Combine π and 768.0 cm3
The result can be shown in multiple forms.
Exact Form
Volume = 768.0π cm3
∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3
Decimal Form
Volume = 2411.52 cm3
Step-by-step explanation:
Answer:
Options (1), (2), (3), (6)
Step-by-step explanation:
Given functions are,
f(x) = 
h(x) = 
Option (1)
y-intercept of function 'h',
x = 0,
h(x) = 
= 5
So y-intercept is (0, 5)
True.
Option (2)
Domain of function 'h' is (-∞, ∞)
True
Option (3)
As x approaches ∞, h(x) approaches ∞.
True.
Option (4)
For x intercept,
h(x) = 0
2x = (-5)³
2x = -125
x = -62.5
So the x-intercept is (-62.5, 0)
False.
Option (5)
Range of the function 'h' is (-∞, ∞)
False
Option (6)
As x approaches to -∞, h(x) approaches to -∞.
Since, range of the function is (-∞, ∞), given statement is true.
Therefore, Options (1), (2), (3), (6) are correct.
