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2 years ago

Guys, please help me.

Mathematics

1 answer:

yulyashka [42]2 years ago

3 0

Triangle ABC is similar to XYZ

Therefore, c times a scale factor is equal to z

Since c is 12 and z is 18, and we are trying to find the value of a, which is in the smaller figure, the scale factor from big to small is 12/18 or 6/9, Since I want to minimize x's value to get a, the scale factor must go from big to small, which is why the scale factor has to be 12/18 or 6/9. From there, to find a's value, i multiply 27 by 6/9 which is equal to 18. Therefore a=18

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Dolores is standing on a horizontal ground level with the base of the Statue of Liberty in New York City. The angle formed by th

Anastasy [175]

Tanα=y/x

x=y/tanα, we are told that y=93m and α=26.3°

x=93/tan26.3 m

x≈188m (to nearest whole meter)

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2 years ago

1 of every 20 cookies falls apart. if you make 40 cookies how many will fall apart? 5 1 3 2

Likurg_2 [28]

2 is the answer. .........

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2 years ago

What is 1.18 devided by 12

egoroff_w [7]

The answer would be0.984

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3 years ago

Read 2 more answers

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

2 years ago

A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?

san4es73 [151]

Your question is vague. There is not enough information. How many balls are in the box? 15 boxes would cost 109.80 thought.

3 0

2 years ago