Answer:
x = 2
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
7x² = 28 ( divide both sides by 7 )
x² = 4 ( take square root of both sides )
x = 
= 2
Answer:
57.0°
Step-by-step explanation:
180° - 123° = 57°
I did 180 because it is a supplementary, meaning that the angles add up to a straight angle (180°).
This problem really should have the image attached, as we are not quite sure what the radius of the cone is, nor are we sure about how deeply the cone-shaped hole is bored into the cube. When I did this, I just assumed that the radius of the cone was half the length of the cube which is 3.5, and I assumed that the height of the cone was the same as the height of the cube which is 7. So the volume for the cube itself is 7*7*7=343. Now we have to subtract from that the volume of the cube, which has a formula of
If we fill in those values I'm assuming to be accurate, our formula then looks like this:
which equals 89.752 If we subtract the volume of the cone from the volume of the cube, we will get that volume of what's left is
Circumference = 2×3.14×r
3.14 is pie and r is the radius.
To find the radius you divide the diameter by 2.
19 ÷ 2 = 9.5
2×3.14×9.5 = 59.66
Multiply 59.66 by 6 because ther are 6 pennies.
59.66 × 6 = 357.96 mm.
