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sesenic [268]
3 years ago
5

Finding angles in measures using triangles

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

you can use this for help:

the interior angles of a triangle add up to 180°

So, Angle I + angle H + angle x =180°

60°+56°+x°=180°

116°+x°=180°

X=180-116

X=64°

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Converting (x - 4)^2 + y^2 = 16 into polar form
dimulka [17.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(x - 4)² + y² = 16

Step 02:

polar form:

x = r cos (θ)

y = r sin (θ)

(r cos (θ) - 4 )² + (r sin (θ))² = 16

(r cos θ - 4)² + r² sin² θ = 16

r (r - 8 cos (θ)) = 0

r = 8 cos θ

The answer is:

r = 8 cos θ

8 0
1 year ago
Y equals negative X squared +10 X -26
Pani-rosa [81]

Answer:

Step-by-step explanation:

y=(x+5)2−1

Use the vertex form,

y=a(x−h)2+k, to determine the values of a, h, and .a=1h=−5k=−1Find the vertex(h,k(−5,−1)

3 0
3 years ago
Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li
krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

First, let us calculate the decay constant (k)

75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

Therefore the half-life is between 600 and 700 years

5 0
3 years ago
What is the best way to learn mathematics easily??
emmasim [6.3K]

I would recommend going to school

Or get a tutor

Or ask your parents

4 0
3 years ago
You think that $39,500 is a good salary and are interested in a job with Fast Pax. What other information might you want to know
marin [14]
It is best to know whether the Fast Pax $39,500 salary is a gross salary or a net salary to make sure the amount you will get by working there. A net salary is a total amount of salary and benefits that you will get by working in a company and A gross salary is the amount of the salary only excluding the other benefits. These terms are important for employees to consider
3 0
3 years ago
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