Answer:
Volume of the right circular cone = 1188.79 cubic inches
Step-by-step explanation:
Height of the cone = 17.1 inch
Circumference of the cone= 16.3 inches
Radius = 16.3/2
= 8.15 inch
Volume of the cone is:
As, 
Volume of the cone
Volume of the right circular cone is 1188.79 cubic inches
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
13
Step-by-step explanation:
12×7 = 84,
so the scale ratio is 1/7
now 91×1/7
= 91/7
= 13
