Answer:
35cm
Step-by-step explanation:
Given data
Length= 21cm
Width= 28cm
Diagonal= ???
Applying Pythagoras theorem
D^2= L^2+W^2
D^2= 21^2+28^2
D^2= 441+784
D^2= 1225
D= √1225
D= 35cm
Hence the diagonal is 35cm
Answer:
One triangle can be constructed
Step-by-step explanation:
I took the test hope this helps
Answer:
(13 + or - (sign) square root(37)) / 6
Step-by-step explanation:
First search up the quadratic formula which is
x = (- b + or - square root(b^2 - 4ac)) / 2a
and to find a, b, and c you need this formula
ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)
Math:
a = 3, b = -13, c = 11
b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.
Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.
(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3
13 + or - square root(37) / 6
Answer:
This is very detailed as I wish to make some principles about fractions clear.
3
5
12
Explanation:
This question boils down to
3
2
3
−
1
4
A fractions structure is that of:
count
size indicator of what you are counting
→
numerator
denominator
You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
3
2
3
Write as
3
+
2
3
Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value
[
3
×
1
]
+
2
3
[
3
×
3
3
]
+
2
3
9
3
+
2
3
=
11
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all together
3
2
3
−
1
4
→
11
3
−
1
4
But the size indicators are not the same. I chose to make them become 12
11
3
−
1
4
→
[
11
3
×
1
]
−
[
1
4
×
1
]
→
[
11
3
×
4
4
]
−
[
1
4
×
3
3
]
→
44
12
−
3
12
Now we may subtract the counts
→
44
−
3
12
=
41
12
But this is the same as
12
12
+
12
12
+
12
12
+
5
12
=
1
2
+
2
1
2
+
2
1
2
+
5
12
=
3
5
12
Step-by-step explanation:
