Answer: Terri brought 10 more centimeters of rope than Gracie.
Step-by-step explanation:
Given : - Square ABCD with side 3. E and F as midpoints.
To find : - area of EBFD
Solution : - We have, area of square ABCD = 3 x 3 = 9 units.
Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF
arDAE = 1/2 x base x height
=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25
arDFC = 1/2 x base x height
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25
Thus, (ar) EBFD = arABCD - arDAE - arDCF
= 9 - 2.25 - 2.25
= 4.5 units.
Thus, area of quad EBFD is 4.5 units.
Answer:
0.6x+y=24.6
Step-by-step explanation:
y-y1=m(x-x1)
y-24=-0.6(x-1)
y=-0.6x+0.6+24
y=-0.6x+24.6
y-(-0.6x)=24.6
y+0.6x=24.6
0.6x+y=24.6
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
-------------------------------------------------------------------------------------------------------------
Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
