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3 years ago

Which of the following can be sides of a triangle

Mathematics

1 answer:

sveticcg [70]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

Fact: The sum of two shortest sides must be greater than the longest side.

1. 6, 10, 8; 6 + 8 = 14; 14 > 10; This is a triangle.

2. 46, 24, 21; 24 + 21 = 45; 45 < 46; This is not a triangle.

3. 23, 35, 10; 23 + 10 = 33; 33 < 35; This is not a triangle.

4. 8, 9, 17; 8 + 9 = 17; 17= 17; This is not a triangle.

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Aliun [14]

Answer:

Step-by-step explanation:

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3 years ago

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mixas84 [53]

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3 years ago

The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

$y(t)=Ce^{rt}$

$2.22=13e^{13r}$

$e^{13r}=0.1708$

Using a natural logarithm property called power rule:

$13r=ln(0.1708)$

$r=\frac{ln(0.1708)}{13}$

$r=-0.1359$

The decay function for concentration of DDT through the years is $y(t)=13e^{-0.1359t}$

B) The value of H is calculated by $y=C(0.5)^{\frac{t}{H} }$

$2.22=13(0.5)^{\frac{13}{H} }$

$(0.5)^{\frac{13}{H} }=0.1708$

Again, using power rule for logarithm:

$\frac{13}{H} log(0.5)=log(0.1708)$

$\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}$

$\frac{13}{H} =2.55$

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model $y(t)=13e^{-0.1359t}$ to determine concentration of DDT in 1995:

$y(24)=13e^{-0.1359.24}$

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

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3 years ago

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jok3333 [9.3K]

Balance on 60th day PRIOR to payment
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Answer:

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