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AleksandrR [38]
3 years ago
15

A pyramid art installation has a surface area of 24 m2. An artist creates replicas with scale factors of 1/8, 1/10, and 1/12. Wh

at is the surface area of each replica?
Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer:

The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.

Step-by-step explanation:

Given that a pyramid art installation has a surface area of 24 m2, and an artist creates replicas with scale factors of 1/8, 1/10, and 1/12, to determine what is the surface area of each replica, the following calculation has to be done:

24 x 1/8 = 3

24 x 1/10 = 2.4

24 x 1/12 = 2

Therefore, the replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.

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irakobra [83]
Pretty sure it’s the second one
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3 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
11. Clare is painting some doors that are all the same size. She used 3 liters of paint to cover 1 4/5 doors. How many liters of
netineya [11]

The paint required to cover 1 door is 5/4 liters.

Step-by-step explanation:

The paint required to cover 1 3/5 doors = 2 liters.

Convert mixed fraction into proper fraction.

Therefore, the paint required to cover 8/5 doors = 2 liters.

The paint required to cover 1 door = x liters.

To find x :

Comparing the given data and the unknown data.

8/5 door / 2 liters = 1 door / x liter

x = 2 × 5/8

x = 10/8

x = 5/4 liters.

The paint required to cover 1 door is 5/4 liters.

8 0
3 years ago
Find AB, that’s all the details I have on it
Flauer [41]

Answer:

AB = 15

Step-by-step explanation:

Since AD and DC are congruent point D lies on the axis of AC

the axis of a segment divides it in two congruent segments, so AB congruent to BC

5x = 4x + 3

x = 3

AB = 5 * 3 = 15

6 0
3 years ago
14times 13 + 15 -13 what does that equal
stepladder [879]

Answer:

184

Step-by-step explanation:

6 0
3 years ago
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