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kondor19780726 [428]
4 years ago
12

How do I do #27? Using trigonometric ratios or inverse

Mathematics
1 answer:
Feliz [49]4 years ago
7 0
Ratios beacause you want to find to cloaes to the number of inverses in the traingel.

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An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva
Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }

we can plug back h

and we get

P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }

0.80=(\frac{1}{2})^{\frac{t}{5730} }

\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)

t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}

t=1844.6479

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years


4 0
3 years ago
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I just want you to know have a good day
valentinak56 [21]

Answer:

Thank you very much :) needed that

6 0
3 years ago
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A line has a slope of 1 and passes through the point (14, 0). What is its equation in
SpyIntel [72]

Answer:

y = x - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1, thus

y = x + c ← is the partial equation of the line

To find c substitute (14, 0) into the partial equation

0 = 14 + c ⇒ c = 0 - 14 = - 14

y = x - 14 ← equation in slope- intercept form

6 0
3 years ago
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Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shap
nordsb [41]

Answer:

The converse of Pythagorean Theorem states:

<em>If the square length of the longes side of a triangle is equal to the sum of the squares of the other two sides, then it's a right triangle.</em>

<em />

We use the converse of Pythagorean Theorem to prove that a triangle is a right triangle. It's like the inverse use of the theorem. Often, this theorem is used to find the length of a side of a triangle when we already know it's a right triangle. However, when we don't know that is a right triangle, we use the converse to prove it.

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3 years ago
Neville is making a 180-piece jigsaw puzzle that is 4 times as many pieces as Luna's.
Sergio [31]

Answer:

n = 30 pieces

Step-by-step explanation:

Firstly calculate the number of pieces that Luna's puzzle has....,

;180 ÷ 4 = 45 pieces

Hence if Luna has used 15 pieces...then the number of pieces left,

; 45 - 15 = n

;Hence..., n = 30 pieces

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4 years ago
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