PLEASE HELPPP MEEEEEEEEEE
1 answer:
Answer:
x = 17°
Step-by-step explanation:
<u>Angles And Parallel Lines </u>
If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary
We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as
Operating
So the value of the angle x is 17°
You might be interested in
Answer:
It's Impossible.
Matrix can only be raised to a power if it has same number of rows and columns
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve this problem:
, where a and b are the legs of the right triangle and c is the hypotenuse
In this case, we already know b (b = 84) and c (c = 85), so we need to solve for a:
Thus, a = y = 13.
Answer:
<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
= The decay constant.
One important parameter related to radioactive decay is the half-life:
If we know the value of the half-life, we can calculate the decay constant:
Carbon-14 has a half-life of 5,730 years, thus:
The equation of the remaining quantity of Carbon-14 is:
We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No
Simplifying:
Taking logarithms:
Solving for t:
Carbon-14 will take 19,035 years to decay to 10 percent.