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hodyreva [135]
3 years ago
5

The Total Surface Area for the shape below is _________. (round to nearest tenth.)

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

=193.2 cm

Step-by-step explanation:

  • Figure out the triangles first
  • Area= Base times Height divided by 2
  • first figure out one triangle A= (6)(5.2)/2 = 15.6 (brackets means times and the slash means divide
  • times it by 2 so you get the area of both triangles (15.6)(2)= 31.2
  • Now figure out the rectangles
  • Area= Base times Height
  • A=(6)(9) = 54
  • Then times it by 3 to get the area of all three triangles
  • (54)(3)= 162
  • Now add 162 and 31.2 and you get 193.2 cm
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Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv
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Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)                  

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t    Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Need some help with this question please.
Ksivusya [100]
Use Pythagorean theorem
a^2 + b^2 = c^2
Plug in the info
b = 53, a = 41
41^2 + 53^2 = c^2
1681 + 2809 = c^2
c^2 = 4490
Squareroot of 4490 = 67.007
Perimeter = adding all sides
53m + 41m + 67.01m = 161.01 m

Solution: 161.01 meters
8 0
2 years ago
Choose a number line to model the following situation:
katrin2010 [14]
It is the first one because if u gain an amount and lose that same amount you don't gain anything.
25-25=0
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3 years ago
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Which of the following shows 18,442 correctly rounded to the hundreds place?
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Answer:

D)18,400

Step-by-step explanation:

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3 years ago
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A number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, th
iren2701 [21]

"The digit at tens place is four times the digit at units place."

How many possible numbers are there?

1 in the units place: 41

2 in the units place: 82

If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.

41 or 82

If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.

82 - 54 = 28, which has the digits of 82 in reverse order.

Answer: 82

4 0
3 years ago
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