Answer:
34
Step-by-step explanation:
in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups
Firstly,we need to understand the properties of a parallelogram:
-Opposite sides are parallel by .
-Opposite sides are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.
Therefore in this case:
XW must be congruent to YZ.
WZ must be congruent to XY.
Hope it helps!
Answer:
Angle of A = 90 degree-62 degree = 28 degree.
Step-by-step explanation:
tan (62) = opposite / adjacent = 10 / a ---> a = 10/tan (62) = 10/ 1.88 = 5.319
cos (62) = a/c --->c = a/cos (62) = 5.319 / 0.47 = 5.3 / 0.47 = 11.3
or another way.
sin (62) = 10 /c ---> c = 10/ sin (62) = 10 / 0.88 = 11.3
So Angle of A = 28 degree.
a = 5. 3
c = 11.3.
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The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Your Answer is A.
(-8) x 4
= -8 x 4
= -32
= 1/6 ^32
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