The answer is 244 because you add 35 to 287 then subtract 78 and it equals 244
Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
We know that
the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.
[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in
the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in
the answer is
the radius is 3.5 in
Answer:
22.5
Step-by-step explanation:
the formula is A=a+b
2h
First draw is 6 out of 10 = 6/10 = 3/5
Second draw is 5 girls out of 9 remaining children = 5/9
Now we multiply the probabilities:
3/5 x 5/9 (you can cancel out the 5's since one is in the numerator and the other is in the denominator. You can also reduce the 3 and 9. The answer is 3/9=1/3
So the chances that the first two selected will be girls is 1/3.
