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rusak2 [61]
4 years ago
14

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

Mathematics
1 answer:
OLga [1]4 years ago
6 0
The some of an Isosceles triangle is 180.

if vertex B = 130 degrees then the other two must be equal 50 degrees.  so you divided 50 by 2 which equals 25.

in this case you have 2 points which equal 50. so you take the one which is the closest to 25. which is the last point. m<A = 20 and m<C + 30.
I hope this is right.
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a band of 45 ewoks crash-landed in the forest last night. this sounds like a small problem, but the population will grow at the
kogti [31]

Given Information:

Starting population = P₀ = 45

rate of growth = 22%

Required Information:

Population every five years from this year to the year 2050 = ?

Answer:

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Step-by-step explanation:

The population growth can be modeled as an exponential function,

P(t) = P_0e^{rt}

Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.

We are given that starting population of 45 and growth rate of 22%

P(t) = 45e^{0.22t}

Assuming that the starting year is 2020,

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.

8 0
3 years ago
Arrange least to greatest2.71717171, 2 3/4, 5, sqrt 5/2 20 points
joja [24]

Answer:

23/4 to 2.71717171

Step-by-step explanation:

7 0
3 years ago
Item 15
velikii [3]
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4 0
3 years ago
Simplify the expression: In(e^5x).
Irina18 [472]
\ln e^{5x}=5x
7 0
3 years ago
Read 2 more answers
Abc = dfe find the value of x.
LiRa [457]
BC <span>≅ EF (CPCTC)

Set the two side lengths equal to each other.

38.4 = 5x - 10.6

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x = 49/5

x = 9.8

9.8 should be your answer

hope this helps</span>
8 0
3 years ago
Read 2 more answers
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