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antoniya [11.8K]
3 years ago
13

tom always keeps his garden clean. he takes 20 minutes to clean a single garden. how much time will it take to clean all four ga

rdens
Mathematics
2 answers:
neonofarm [45]3 years ago
8 0
80 minutes to clean all four gardens
malfutka [58]3 years ago
4 0
80 minutes to clean all 4 gardens.
20x4=80
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A circle has a circumference of 28.36 units what is the diameter of the circle
kicyunya [14]

Answer:

d= 9.032 units

Step-by-step explanation:

Given

Circumference = 28.36

We will use the formula for circumference of a circle to find it's radius and then diameter will be found using radius.

So,

C=2\pi r\\Putting\ the\ value\ of\ \pi and \C\\28.36 = 2 * 3.14 *r\\28.36=6.28* r\\r=\frac{28.36}{6.28}\\ r=4.516\ units

Now to find the diameter:

d = r*2

d = 4.516*2

d= 9.032 units

3 0
3 years ago
Read 2 more answers
Find x. 4 square root 3 2 square root 3 8 8 square root 3
UkoKoshka [18]

Answer:

8

Step-by-step explanation:

sin \:  \alpha  =  \frac{opp}{hyp}  \\ sin \: 30 =  \frac{4}{x}  \\  \frac{1}{2}  =  \frac{4}{x}  \\

x = 4 \times 2 \\ x = 8

6 0
3 years ago
What’s the inverse of the function f(x) = 2x - 10
erastovalidia [21]
The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
____________________________________________________

Explanation:

____________________________________________________

Given the function:  " f(x) = 2x <span>− 10 " ;  Find the "inverse function" .

Let "f(x)" be represented by "y" ; and rewrite:

    y = 2x </span><span>− 10 ; 

Change the "y" to an "x" ;  and change to "x" to a "y" ; as follows:
___________________________________________________
    x = 2y </span><span>− 10 ; 

Now, rewrite this equation, in "slope-intercept form";  that is;  "y = mx + b" ; 

To do this, start by solving THIS equation for "y"; in terms of "x" ; with "y" as an "isolated variable" on the "left-hand side" of the equation; 
___________________________________________________
 We have: 
___________________________________________________
   " x = 2y </span><span>− 10 " ; 

Add "10" to each side of the equation; as follows:

    x + 10 = 2y </span><span>− 10 + 10 ; 

to get:

     x + 10 = 2y ; 

</span>↔  2y = x + 10 ;
<span>
Now, divide each side of the equation by "2" ; 
       to isolate "y" on one side of the equation (as a single variable); 
       & to solve for "y" ; 

</span>→  2y / 2 = (x + 10) / 2 ; 
<span>
to get: 

</span>→    y = (x/2)  + (10/2) ; 

→    y = (x/2) + 5 ; 
<span>
Now, rewrite the equation, by substituting:  " f </span>⁻¹(x) " ;  in place of the "y" ;                     to indicate that this function is an "inverse function; as follows:
 
→   " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
______________________________________________________

The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
_______________________________________________________
8 0
3 years ago
Read 2 more answers
Markita bought a roll of carpet that is 8.5 feet wide. The maximum area the carpet will cover is 136 square feet. What is the lo
kenny6666 [7]

Answer:

16 feet in length.

Step-by-step explanation:

In this situation, you are given the area and the width of the full carpet, furthermore, you must reverse the formula for area to find the length, as so:

<u>Area Formula</u>: A=<em> l • w</em>

<u>Given</u>: 136= <em>l</em> • 8.5

<em>l</em> = 136 ÷ 8.5

<em>l</em> = 16 feet

I hope this was helpful!

3 0
3 years ago
What is the slope of a line that is perpendicular to the line v=-1/3x-6
bija089 [108]

If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.

m = -\frac{1}{3}

Change the sign of the slope:

\frac{1}{3}

Finally, make the reciprocal of the original slope (switching the numerator and denominator):

\frac{3}{1}

Simplify:

3

Final answer:

m=3

7 0
3 years ago
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