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Katyanochek1 [597]
3 years ago
6

ABC ~ XYZ Find the length of BC (need an answer as soon as possible, with showing work please)

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

BC is equal to 7

Step-by-step explanation:

18 = 2x + 4

18 - 4 = 14

14 = 2x

14/2 = 7

7 = x

You might be interested in
element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample
pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that A(21) = 0.5A(0). We use this to find r, the percentage rate of decay per year.

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{21}

(1-r)^{21} = 0.5

\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}

1 - r = 0.5^{\frac{1}{21}}

1 - r = 0.9675

r = 1 - 0.9675 = 0.0325

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that A(0) = 80

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 80(1-0.0325)^t

A(t) = 80(0.9675)^t

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

8 0
3 years ago
Read 2 more answers
If c = 15 and y = 7, find the value of x.
Archy [21]

Answer:

I can’t get the answer because I do not have my scientific calculator.

Step-by-step explanation:

15 squared - 7 squared = A squared then add 90. Then square root for the answer!

3 0
3 years ago
R varies inversely as v2 if r=120 when v=1 ,find r when v=10
makvit [3.9K]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ r = k/v^2

Substitute the values in:

120 = k/1^2

Multiply both sides by 1^2 to find k

k = 120

Substitute new values in:

r = 120/10^2

Solve:

r = 1.2

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
What is the sign of the product (8)(-23)(-21)(-29) ?
Jlenok [28]
Hey there!

When you multiply across, you get the following product:
<span>
8 </span>× –<span>23 </span>× –<span>21 </span>× –<span>29
</span>–184 × –21 × –29
3864 × –29
–112,056

The sign will be negative. 

Hope this helped you out! :-)<span />
5 0
4 years ago
Read 2 more answers
I'll give you a brainliestt
photoshop1234 [79]
The answer is 1,4. Hope that helps.
6 0
3 years ago
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