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MakcuM [25]
3 years ago
10

Area between two shapes. IXL geometry help pls !

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0
Since we know the Circumference of the inner circle, we can divide by (pi symbol) to get the diameter of the inner circle.

87.92/3.14=28

With knowledge of 28 being the diameter, we can also solve for the radius, which is 14.


The area of the inner circle is (pi)14^2

The inner circle’s are is 615.44 unit^2

The outer circle’s radius is 14+7 or 21

(pi)21^2= 1,384.74

We subtract the inner circle’s area from the outer circle’s area.


1,384.74-615.44= 769.3

769.3 square kilometers
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Last month, Katie started training for the swim team. She swam 20 laps every day for 18 training days. This month, Katie wants t
nasty-shy [4]

She swim 20 laps every day for 18 training days

so total laps done last month = 20*18 = 360 laps

She will swim 3 more laps per training day and add more training days to her monthly schedule.

20 laps + 3 laps = 23 laps

(a)If Katie adds 5 training days to her schedule this month, will she swim 215 more laps?

18 days + 5 days more = 23 days

23 laps every day for 23 training days

so total laps = 23*23 = 529 laps. That is 169 more laps than 360 laps done last month. Hence she cannot swim 215 more laps

If Katie adds 10 more training days to her schedule this month, will she swim 215 more laps?

18 days + 10 days more = 28 days

23 laps every day for 28 training days

so total laps = 23*28 =644 laps. That is 284 more laps than 360 laps done last month. Hence she can swim 215 more laps

(c)If Katie adds 6 more training days to her schedule this month, will she swim 215 more laps?

18 days + 6 days more = 24 days

23 laps every day for 24 training days

so total laps = 23*24 =552 laps. That is 192 more laps than 360 laps done last month. Hence she cannot swim 215 more laps

Build an equation for finding the number of additional training days she needs to swim 215 more laps

Let x be the number of days more

So training days = 18 + x

215 more laps , so total laps = 360 + 215 = 575

3 more laps per training day so 20 + 3 = 23 laps per day

laps * training days = total laps

so equation becomes

23 * (18+x) = 575

Now solve for x

414 + 23x = 575

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23x = 161

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3 years ago
Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions
Arlecino [84]

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

<h3>How to interpret the discriminant?</h3>

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

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The discriminant of an equation is calculated using:

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