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2 years ago

10

A circular garden has a radius of 3 meters. What is the area of the garden? Write your answer using π. Show your work.

1 answer:

Gwar [14]2 years ago

7 0

Answer: 9 $\pi$

Step-by-step explanation:

Sorry the pi sign looks weird. The formula for area of a circle is $a=\pi r^2$ , so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.

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7. If Donna works 8 hours and earns

krek1111 [17]

Y = 25 times x
or you could write it as
y=25x
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5 0

2 years ago

the mean of a set of five numbers is 3k. when a sixth number is added to the set, the mean increases by k. what is the ratio of

Strike441 [17]

Let’s call the sum of the set of five numbers S and the sixth number N. We know the mean of the set of five numbers is 3k, so we can write the equation S/5 = 3k or S = 15k. When we add the sixth number the mean increases by k, so we can write the equations (S + N)/6 = 4k or S + N = 24k. Using S = 15k, we find that N = 9k. The ratio of the sixth number to the sum of the set of five numbers is therefore N/S = 9k/15k = 3/5.

4 0

1 year ago

Find the inverse of f(x) = -2x+5<br> The inverse is g(x) = <br> Graph the function and its inverse

vovikov84 [41]

Given:

The function is:

$f(x)=-2x+5$

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

$f(x)=-2x+5$

Step 1: Substitute $f(x)=y$ .

$y=-2x+5$

Step 2: Interchange x and y.

$x=-2y+5$

Step 3: Isolate variable y.

$2y=5-x$

$y=\dfrac{5-x}{2}$

Step 4: Substitute $y=f^{-1}(x)$ .

$f^{-1}(x)=\dfrac{5-x}{2}$

Therefore, the inverse of the given function is $f^{-1}(x)=\dfrac{5-x}{2}$ and the graphs of these functions are shown below.

Note: The inverse function is $f^{-1}(x)=g(x)$ .

6 0

2 years ago

suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3/4,9/10). the same segment on the actual

dlinn [17]

Let the segment be represented by AB where A(0,0) = $A(x_{1}, y_{1})$ and B(3/4,9/10) = $B(x_{2}, y_{2})$ .

The length of the segment drawn by architect can be calculated using distance formula:

AB = $\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}$

$AB=\sqrt{(3/4-0)^{2}+(9/10-0)^{2}$

$AB=\sqrt{9/16+81/100} \\$

$AB = (6\sqrt{61})/40$

Similarly, Let the actual end points of segment be AC where A(0,0) = $A(x_{1}, y_{1})$ and C(30,36) = $C(x_{2}, y_{2})$ .

The length of the original segment can be calculated using distance formula:

AC = $\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}$

$AC=\sqrt{(30-0)^{2}+(36-0)^{2}$

$AC=\sqrt{900+1296} \\$

$AC = (6\sqrt{61})$ .

Thus, the actual length is 40 times the length of the segment drawn by the architect.

Thus, the proportion of the model is 1:40

4 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE YOU MANY POINTS!!!

NARA [144]

Answer:

x = 52

The exterior angle of a triangle is equal to the sum of the opposite interior angles

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x+72 = 90+34

Combine like terms

x+72 = 124

Subtract 72 from each side using the subtraction property of equality

x+72-72 = 124 -72

x =52

4 0

2 years ago

Read 2 more answers