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3 years ago

This figure is made from squares and a part of a circle.

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

The length of the arc is 10.99 exactly. The other sides added together equal 35. The total perimeter in my opinion would be 45.99 or 46 with rounding! Hope this helps

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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w

Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

$y=a(1+b)^x$

Were

$y$ is the final value after $x$ years

$a$ is the initial value

$b$ is the growth factor (yearly rate of appreciation in our case) in decimal form

$x$ is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so $y=475$ , $a=200$ , and $x=6$ .

Let's replace the values in our equation and solve for $b$ :

$y=a(1+b)^x$

$475=200(1+b)^6$

$\frac{475}{200} =(1+b)^6$

$2.375=(1+b)^6$

$\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}$

$1+b=\sqrt[6]{2.375}$

$b=\sqrt[6]{2.375}-1$

$b=0.155$

which rounds to

$b=0.16$

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

3 0

3 years ago

4 over 15 × 10 over 8

vlabodo [156]

The answer is 1/3. Hope I helped

6 0

3 years ago

Which relationship between x and y in the equation shows a proportional relationship

balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

The proportional relationship is represented graphically by a line passes through the origin point

The equation of the proportional relationship is y = m x

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)

mina [271]

Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5

8 0

3 years ago

28 < 4v solve for v pls help

DedPeter [7]

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

5 0

3 years ago