Answer:
39 in.
Step-by-step explanation:
As it's a regular hexagon all sides are congruent.
Therefore
7x + 4 = 8x - 1
4 + 1 = 8x - 7x
x = 5.
So the required length is 7(5) + 4 = 39 in.
Answer:
4.36 in
Step-by-step explanation:
To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height
So the steps should look like
(4/3)*π*5³=523.599 in³
523.599 in³=12*10*Height
(523.599/(12*10))=4.36 in
Answer:
AE = 15 cm; ED = 18 cm; AD = 15 cm (given)
Step-by-step explanation:
ΔBEC ~ ΔAED so ...
AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE
Substituting given numbers (lengths in centimeters), we have ...
15/10 = 1 + 5/BE
1/2 = 5/BE
BE = 10
Similarly, ...
1/2 = 6/CE
CE = 12
Then the unknown sides are ...
AE = AB + BE = 5 + 10 = 15 . . . cm
ED = CE + CD = 12 + 6 = 18 . . . cm
Answer:
Yes
Step-by-step explanation:
9 x 3 - (0.6/0.2) Simplify the parentheses
9 x 3 - 3 Multiply 9 by 3
27 - 3 Subtract
24
