Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;
Where 
(The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes
DIvide both sides by 0.4
Add 1 to both sides
Hence, the number of rows of beads is 51
Answer:
c
Step-by-step explanation:
bc it has the most 5's in it
Answer:
30 ft
Step-by-step explanation:
This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.
so
1024 - 100 = y^2 and
y = 30.4 so 30 feet
Answer:
Step-by-step explanation:
Slope of line A = 
= 
= 3
Slope of line B = 
= 
Slope of line C = 
= 
5). Slope of the hypotenuse of the right triangle =
= 
=
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = 
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = 
=
Given triangle may lie on the line C.
8). Slope of hypotenuse = 
=
Given triangle may lie on the line B.
9). Slope of hypotenuse = 
=
Given triangle may lie on the line B.
10). Slope of hypotenuse = 
= 3
Given triangle may lie on the line A.
when you divide 5 by 8 you get 0.625
since the hole is 0.6
the hole is too small for the bolt to fit
