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mariarad [96]
4 years ago
11

Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completin

g?
a. An equilateral triangle inscribed in a circle
b. A square inscribed in a circle
c. A regular pentagon inscribed in a circle
d. A regular hexagon inscribed in a circle

Mathematics
2 answers:
AlexFokin [52]4 years ago
8 0
Amy is constructing an equilateral triangle. it's she joins the centers of the 2 circles to the point of intersection she will be done

option a
Sever21 [200]4 years ago
7 0

From this point, Amy could construct either an equilateral triangle or a regular hexagon. The triangle takes fewer steps to complete.

If Amy designates the (top and bottom) points of intersection of the circles as D and E, then her inscribed equilateral triangle would be ∆BDE. The appropriate choice is ...

... a. An equilateral triangle inscribed in a circle.

_____

If Amy continues by drawing diameters DAF and EAG, then she can inscribe regular hexagon BGDCEF in circle A.

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Simplify 8(5y-4x)/15 - ( - 3x + 7y/2 +3x - 4y)​
vekshin1

Answer:

that's it I think its clear

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4 years ago
A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a
UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

P_{t}=P_{0}+500t

Where P_{t} = Population after t years

P_{0}= Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = \frac{5000}{500}

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = \frac{15000}{500}

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = \frac{35000}{500}

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

T_{n}=T_{0}(1+\frac{r}{100})^{t}

T_{n} = Population after t years

T_{0} = Initial population

t = time in years

For double once,

Population after t years = 10000

10000=5000(1+\frac{5}{100})^{t}

(1.05)^{t}=\frac{10000}{5000}

(1.05)^{t}=2

Take log on both the sides

log(1.05)^{t}=log2

tlog(1.05) = log2

t = \frac{log2}{log1.05}

t = 14.20 years

For double twice,

Population after t years = 20000

20000=5000(1+\frac{5}{100})^{t}

(1.05)^{t}=\frac{20000}{5000}

(1.05)^{t}=4

Take log on both the sides

log(1.05)^{t}=log4

tlog(1.05) = log4

t = \frac{log4}{log1.05}

t = 28.413 years

For double thrice

Population after t years = 40000

40000=5000(1+\frac{5}{100})^{t}

(1.05)^{t}=\frac{40000}{5000}

(1.05)^{t}=8

Take log on both the sides

log(1.05)^{t}=log8

tlog(1.05) = log8

t = \frac{log8}{log1.05}

t = 42.620 years

4 0
3 years ago
Luis drives 135 miles on Monday and 135 km on Tuesday. How many km did he drive in total?
m_a_m_a [10]
51 miles is the answer
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3 years ago
I need help #1-5 please help
nikdorinn [45]
Dont know man cant help
5 0
3 years ago
Please help! This is really important. Don't steal my points by commenting random stuff, this isn't funny its a grade. I worked
vodomira [7]

Answer:

D

Step-by-step explanation:

We can tell that the final number must be -2 from the graph. This means we can cross off A and C. We can also tell that 2/3 must be negative since the graph curves downwards.

4 0
3 years ago
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