<em>Copying</em> a given <u>segment</u> is the process in which a given<em> line segment</em> is drawn following the required <u>steps</u> so that both <u>object</u> and <u>image</u> have the same length. Therefore,
i. PQ = 12 cm
ii. MN = 12 cm
Thus, PQ = MN
Construction is a process that requires the use of <u>materials</u> and <u>instruments</u> to produce a required <em>image</em>. This involves following stated or required steps.
A given <em>line segment </em>can be copied by following appropriate steps. Such that both <u>lines</u> would have the same <u>length</u>, and would be <u>parallel </u>to each other or as required.
The given question requires following the stated <em>steps</em> to produce the required <em>construction</em>. Such that <u>line</u> segment NM is the image of PQ, and both have equal <u>length</u>.
The required <u>construction</u> for the question is <u>attached</u> to this answer.
For more clarifications on copying a given line segment, visit: brainly.com/question/1581615
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N=NOe^-kt
N=mass at time t
NO = initial mass
k= 0.1476
t= time, in days
We are asked to find the half-life, which means you want to find how long it will take for half of the substance to decay/disappear (depending on situation).
If we are looking for half-life, we can simply set N to half of NO (which we are given a value of 40grams for)
Therefore:
N = 20
NO = 40
plugging these values and the value given for k back into the equation you get:
20 = 40e^-0.1476(t)
We are looking for t, so we have to manipulate the formula to get t by itself on one side of the equation.
We can start by dividing 40 from both sides, and you get:
0.5 = e^-0.1476(t)
We have the exponential function "e".
To get rid of e, we can use natural log (ln)
if e^y=x then ln (x) = y
look back at our equation we can set
0.5 = x
-0.1476(t) = y
Rewriting it in natural log form:
ln (0.5) = -0.1476(t)
Plug in ln (0.5) on a calculator to find its value and we get:
-0.693147 = -0.1476(t)
*Note: normally, getting a negative value would suggest that we did something wrong, because you cannot have a negative value as your t (you cannot have negative days), but because there is a negative on both sides of the equation, they will cancel out in this case.
The last step is to simply divide both sides by -0.1476
therefore:
T = 4.696119
But it asks you for the answer to the nearest tenth (one place after decimal pt) so
T (half life) = 4.7 days
Hope that helps :)
Answer:
the answer is d
Step-by-step explanation:
their competing for food so it's either d or c and lions and hyenas are different species so d
1) The factory will produce 3/5th or 0.6 of a car per day (12 cars / 20 days = 0.6 car per day). The equation for the answer is: 21 / 0.6 = X. The answer is 35 Days.
2) You divide 45 by 3. You do this by multiplying 45 by 1/3, which is 15. You add 15 to 45, and you get a speed of 60 MPH.
20-8=$12
then 12 divided by 1.25 equals 9.6.
9.6 hours is what he can stake