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Vadim26 [7]
3 years ago
15

A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

<h2>4</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em />\dfrac{75}{360}=75:360=0.2<em />

<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>

The circumference <em>C = 20</em>.

Therefore

x=0.2\cdot20=4

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The school yard has an area of 3564 ft.² the section that is in the shape of a triangle is used for picnic tables what is the ar
kicyunya [14]

x × 44ft =3564

× = 81

area of the section for a picnic

= 1/2 × 44 × 81

= 1782 ft^2

8 0
3 years ago
What is the vertex of (x) = –16x² + 64x + 80.
cricket20 [7]

Answer:

<h3>            (2, 124)</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

7 0
3 years ago
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
________________________________________
   "Ax + By + C = 0 " ; 
________________________________________
So; given: 
____________________________________
 " y = (-1/3)x + (10/3) " ;
____________________________________
  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
____________________________________
            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

↔  -1x − 3y − 10 = 0 ;  

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

     -1 * {-1x − 3y − 10 = 0} ; 

to get:
______________________________________________________
   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
______________________________________________________
6 0
3 years ago
Read 2 more answers
A line graph does NOT:
Vanyuwa [196]
<span>Use percentages to display data



Hope this helps.
</span>
8 0
3 years ago
A car can travel 105 miles on 7 gallons of gas. How far can it travel on 9 gallons
Wewaii [24]

Find how far the car can travel on one gallon of gas, by dividing total miles by number of gallons:

105 miles / 7 gallons = 15 miles per gallon.


Now multiply that by the number of gallons to find total miles:

15 miles per gallon x 9 gallons = 135 total miles.

6 0
3 years ago
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