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choli [55]
4 years ago
15

identify whether or not the following features are represents in the above diagram. for each feature that is represented write t

he name(s) denoted in the diagram.

Mathematics
1 answer:
Scorpion4ik [409]4 years ago
7 0

Answer:

The rays represented in the diagram includes

Ray AB, NB, BN, BA

The vertex where rays NB and NA meets = N

Step-by-step explanation:

A ray is a line segment that extends endlessly from a given point. A ray is a line that has unbounded endpoint but has a start or endpoint.

A vertex is the point or corner which is the meeting point of two or more lines or rays. In the question, the meeting point of the rays NB and NA is the point N, which can be said to be the vertex of the two rays.

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Radioactive Decay
SpyIntel [72]

Answer:

Percentage of (226Ra) after 900 years is 68%

Step-by-step explanation:

Let P(t) be the amount of (226Ra) present at any time t

Half life of (226 Ra) = 1599 years

If P₀ is initial amount of (226 Ra) then after 1599 years

P(1599)=P₀/2

Decay i amount of radioactive substance is related to time t as

\frac{dP}{dt}=kP(t)\\\\\frac{1}{P}\,dP=kdt\\\\Integrating\,\, both\,\,sides\\\\ln|P|=kt+c\\\\P(t)=Ce^{kt}\\\\at \,\, t=0\,\, P(0)=P_{o}\\\\P(0)=Ce^{k0}\\\\P_{o}=C\\\\then\\\\P(t)=P_{o}e^{kt}

To find value of k

at\,\, t=1599\,years\\\\P(1599)=\frac{P_{o}}{2}\\\\then\\\\\frac{P_{o}}{2} =P_{o}e^{k(1599)}\\\\\frac{1}{2} =e^{k(1599)}\\\\ln|\frac{1}{2}|=k(1599)\\\\k=\frac{ln|\frac{1}{2}|}{1599}=-4.3\times 10^{-3}\\\\\implies P(t)=P_{o}e^{-4.3\times 10^{-3}t}\\\\at\,\, t=900 \\\\P(900)=P_{o}e^{-4.3\times 10^{-3}(900)}\\\\P(900)=0.68P_{o}

Percentage of radioactive element is:

Amount after 900 years=\frac{P(900)}{P_{o}}\times 100\\\\=\frac{0.68P_{o}}{P_{o}}\times 100\%\\\\=68\%

3 0
3 years ago
A local bakery charges $7.50 per one dozen doughnuts and $0.50 for each additional donut.
Fynjy0 [20]

Answer:

You can buy 7 additional donuts

Step-by-step explanation:

$0.50 times 7 is $3.50 and $7.50 plus $3.50 is $11 dollars so you would be able to get 7 additional donuts

5 0
4 years ago
Read 2 more answers
Two trees are in a garden. The 20-foot tree casts a shadow four feet long. If the other tree is 15-foot tall, how long will its
Kobotan [32]
They are similar triangles so 20/4=15/x
solve for x
20x=15*4=60
x=3
4 0
4 years ago
Read 2 more answers
Philip buys the pizza shown below: A circular pizza is shown. The center is labeled as point A and a point on the circumference
Mnenie [13.5K]
So, the line created from the center of the circle to the edge of the circle creates the radius. If it were a straight line from one end of the circle, through the center, to the other end, that would create the diameter. 

So, the answer is radius
8 0
4 years ago
Read 2 more answers
What is the volume of the figure?
Arlecino [84]
So the equation for volume is V=Bh
V is volume, B is area of the base, and h is height
To find the area of the base we need to multiply the height times the base of the triangle and divide by 2
(16*12)/2=96
Now multiply times the height
or 24
The volume of the prism of 2304 mm^3
6 0
3 years ago
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