Answer:
Total peanut=324
Step-by-step explanation:
Let the peanut=x
Philip took 1/3 of x
Remaining peanut=x-1/3x
=3x-x/3
=2/3x
Joy took 1/4 of the remaining leaving 3/4
Remaining=(3/4)(2x/3)
=6x/12
=1/2x
Brent took 1/2 of those, leaving 1/2
=(1/2)*(1/2x)
=1/4x
Preston took 10
Remaining
1/4x - 10 = 71
1/4x = 81
x=81÷1/4
=81*4/1
x = 324
Total peanut =324
Philip=1/3x
=1/3*324
=108
Remaining 324-108
=216
Joy=1/4 of 216
=54
Remaining
324-108-54=162
Brent=1/2 of 162
=81
Preston=10
Total taken=Philip+joy+Brent+Preston
=108+54+81+10
=253
Total remaining=Total peanut - total taken
=324-253
=71
Answer:
16
Step-by-step explanation:
We can see that Ar is the perpendicular bisector of chord BD. Since A is the center of the circle, AR is the radius of the circle, which is 10 (6+4)
Next, we can see that when we connect point A to point D, it is also a radius. Thus, AD is also equal to 10 as the radius of the circle remains the same.
Using Pythagoras theorem, a^2 + b^2 = c^2, we can make a right angled triangle of ACD.
AC = 6 = a
CD = ? = b
AD = 10 = c
10^2 = 6^2 + b^2
b^2 = 10^2 - 6^2 = 64
b = CD = 8
Now, since Ar is the perpendicular bisector of chord BD, BD = CD x 2
BD = 8 x 2 = <u>16</u>
Answer:
t - (-2,-1)
q - (1,-3)
r - (3,3)
s - (0,2)
Step-by-step explanation:
Answer:
NM > LN
Step-by-step explanation:
Here, we want to write an inequality
we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively
as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;
So we can conclude that;
NM > LN
