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3 years ago

For the following right triangle, find the side length. Round your answer to the nearest hundredth

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, $a^2 + b^2 = c^2$ . Right now, you have that a = 7 and c = 12, so it would be

$7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}$

Rounding to the nearest hundredth, you get: 9.75

IRINA_888 [86]3 years ago

4 0

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

1 year ago

Is this right ? Plz help mee

sasho [114]

6.32 is the final answer! :)

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430x30 pls reply quickkkkk

Anna11 [10]

Answer:

12900

Step-by-step explanation:

umm first you write down the number of zeros (but only the zeros at last if a zero comes in middle or between other numbers, then you must have to multiply it) and then multiply the remaining numbers. I am not good at explaining. ;)

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