Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer: 1/2(m<TUV)= m<TUW
Step-by-step explanation: If you divide TUV by 2 then you would get 28 degrees which would be The < TUW
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
Answer: The answer is 3573.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value = 19000
r=rate = 11.25%=0.1125
Exponential Decay:
b=1-r=1-0.1125=0.8875
Write Exponential Function:
y=19000(0.8875)^x
Plug in time for x:
y=19000(0.8875)^14
y= 3573.6388855
Evaluate
:
y≈3573.64
