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beks73 [17]
3 years ago
5

The sum of the areas of two circles is 80 pi square meters find the length of the radius of a radius of each circle if one of th

em is twice the orher
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0
Let x=small circle
2x = bigger circle

πx^2 + π(2x)^2 = 80π
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 16
x = +/- 4
but we need the positive one because there's no negative measurement so
the answers are:
4m and 8m
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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%5E2%
lisabon 2012 [21]

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

6 0
3 years ago
You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
Georgia [21]

Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

Step-by-step explanation:

Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

Amount = Principal + Interest

Given Principal = $30,000

Interest = Principal * rate * time/100

Interest = $30,000*6*6/100

Interest =  $10,800

Amount =  $30,000+ $10,800

Amount =  $40,800

If amount paid after 6years is $40,800, my monthly loan payment = $40,800/72 ≈ $566.67 to nearest dollar.

since $1 - 100cents

$566.67 = 100 * 566.67

$567 = 56,667cents

Monthly loan payment to nearest cent will be  56,667cents

EFF = (1 + r /n)^n - 1

r is the rate and n is the number of period per year which is 12months

%EFF = EAR = (1 + 0.06 /12)^ 12 - 1

%EFF = 1.005^12

%EFF = 1.061678 - 1

%EFF = 0.061678

%EFF = 6.17% to 2dp

6 0
3 years ago
Which equation represents a line that passes through the two points in the table x 1,5 and y 1,6
aleksandrvk [35]

For this case we must find a linear equation of the form:

y = mx + b

Where,

m: slope of the line

b: cutting point with vertical axis.

For the slope we have the following equation:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting values we have:

m = \frac {6-5} {1-1}\\m = \frac {1} {0}

We observe that the slope of the line is not defined.

Therefore, the line is vertical.

Thus, the equation of the line is given by:

x = 1

Answer:

The equation of the line is given by:

x = 1

8 0
3 years ago
Read 2 more answers
Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on
Svetlanka [38]

Answer:

D is the correct answer

Step-by-step explanation:

Given:

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So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:

F = P (1+i)^n

F = $507.96

Therefore, the total amount paid by Brian is $507.96.

(Hope this helps can I pls have brainlist (crown) ☺️)

3 0
2 years ago
Question in the picture!
Sunny_sXe [5.5K]

Answer:

  x = 12

Step-by-step explanation:

Vertical angles are congruent, so ...

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8 0
3 years ago
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