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stellarik [79]
3 years ago
6

Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other.

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Complete question :

Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other.

Answer:

Kindly check explanation

Step-by-step explanation:

Jenna's method :

5(30 + 4) = 5(34) = 170

Mia’s method :

5(30 + 4) :

5(30) + 5(4)

150 + 20

= 170

With both methods, we will arrive at the same answer as justified in the workings above. However, Jenna's method gives a very simple approach and less complicated arithmetic by using the distributive property to overrode some multiplication process which Mia went through in her own calculation. Therefore, Jenna's method is less complicated and requires two simple steps at obtaining the final result.

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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years​
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<u>Step-by-step explanation:</u>

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125

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Trigonometry<br> Trigonometric Functions <br> Given: Cos θ = (3/5), Find: Csc θ
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The value of \csc \theta is \frac{5}{4}

Explanation:

Given that the function cos \ \theta is cos \ \theta= \frac{3}{5}

We need to determine the value of \csc \theta

<u>The value of Opposite side of the triangle:</u>

The formula for cos \ \theta is given by

cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}

The value of opposite side can be determined using the formula,

opp=\sqrt{hyp^2-adj^2

opp=\sqrt{5^2-3^2}

opp=\sqrt{25-9}

opp=\sqrt{16}=4

Thus, the value of opposite side is 4

<u>The value of </u>sin \ \theta<u>:</u>

The formula for sin \ \theta is given by

sin \ \theta= \frac{opp}{hyp}

Substituting the values, we have,

sin \ \theta= \frac{4}{5}

Thus, the value of sin \ \theta is \frac{4}{5}

<u>The value of </u>\csc \theta<u>:</u>

The formula for \csc \theta is given by

csc \ \theta=\frac{1}{sin \ \theta}

Substituting the values, we have,

csc \ \theta=\frac{1}{\frac{4}{5}}

csc\ \theta= \frac{5}{4}

Thus, the value of \csc \theta is \frac{5}{4}

Hence, the value of \csc \theta is \frac{5}{4}

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Answer:

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3 years ago
Read 2 more answers
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