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grandymaker [24]
3 years ago
7

A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

\ln{e^{5730r}} = \ln{0.5}

5730r = \ln{0.5}

r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
3 years ago
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distan
zalisa [80]

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

4 0
3 years ago
The measures of two angles of a triangle are 61 and 84 degrees. Find the measure of the third angle.
Serhud [2]

Answer:

The measure of the third angle is 35°.

Step-by-step explanation:

The sum of the three angles of a triangle is always 180°.

Let the measure of the third angle be x.

∴ 61° + 84° + x = 180°

           145 + x =180°

                    x = 180 - 145

                    x = 35°

Hope this answer was helpful!!

If you liked it, please mark it as the Brainliest!!

Regards..

8 0
3 years ago
Read 2 more answers
Which of the following is the factored form of the given equation? 6x 2 + 2x - 8 = 0 2(3x + 4)(x - 1) = 0 (6x + 1)(x - 8) = 0 2(
Lelechka [254]
The correct answer for the question that is being presented above is this one: "2(x - 1)(3x + 4) = 0." 

<span>6x 2 + 2x - 8 = 0
(2x - 2) (3x + 4) = 0
2(x - 1)(3x + 4) = 0

The correct answer for the question that is being presented above is this one: "</span><span>(x - 4)^2 = -19."</span><span>

x2 - 8x + 3 =0
x2 - 8x + 16 = -3 - 16
(x - 4)(x - 4) = -19
(x - 4)^2 = -19</span>
3 0
3 years ago
A. 4 miles is equal to how many kilometer. B. 45 pound is equal to how many kilogram?​
Galina-37 [17]
Google the answer thats smarter
7 0
3 years ago
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