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MATHS
Maths equations
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Khaliel W
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Cards (23)
What is the formula for the area of a circle?
The area of a circle is given by
π
r
2
\pi r^2
π
r
2
What is the formula for the area of a rectangle?
The area of a rectangle is given by
b
×
h
b \times h
b
×
h
What is the formula for the area of a triangle?
The area of a triangle is given by
1
2
b
h
\frac{1}{2}bh
2
1
bh
What is the formula for the surface area of a sphere?
The surface area of a sphere is given by
4
π
r
2
4\pi r^2
4
π
r
2
What is the formula for the volume of a sphere?
The volume of a sphere is given by
4
3
π
r
3
\frac{4}{3}\pi r^3
3
4
π
r
3
What is the formula for the area of a parallelogram?
The area of a parallelogram is given by
b
×
perpendicular height
b \times \text{perpendicular height}
b
×
perpendicular height
What is the formula for the area of a trapezium?
The area of a trapezium is given by
(
a
+
b
)
2
×
perpendicular height
\frac{(a+b)}{2} \times \text{perpendicular height}
2
(
a
+
b
)
×
perpendicular height
What is the formula for the volume of a cuboid?
The volume of a cuboid is given by <latex}l \times
w
\times h</latex>
What is the formula for the volume of a prism?
The volume of a prism is given by
area of cross section
×
length
\text{area of cross section} \times \text{length}
area of cross section
×
length
What is the formula for the volume of a cylinder?
The volume of a cylinder is given by
π
r
2
h
\pi r^2 h
π
r
2
h
What is the formula for the volume of a pyramid?
The volume of a pyramid is given by
1
3
×
area of base
×
perpendicular height
\frac{1}{3} \times \text{area of base} \times \text{perpendicular height}
3
1
×
area of base
×
perpendicular height
What is the formula for the circumference of a circle?
The circumference of a circle is given by
π
d
\pi d
π
d
What is the Pythagorean theorem?
The Pythagorean theorem states that
h
2
=
h^2 =
h
2
=
a
2
+
a^2 +
a
2
+
b
2
b^2
b
2
What is the formula for speed?
Speed is calculated as
distance
/
time
\text{distance} / \text{time}
distance
/
time
What is the formula for density?
Density is calculated as
mass
/
volume
\text{mass} / \text{volume}
mass
/
volume
What is the formula for pressure?
Pressure is calculated as
force
/
area
\text{force} / \text{area}
force
/
area
What is the formula for the volume of a cone?
The volume of a cone is given by
1
3
π
r
2
h
\frac{1}{3} \pi r^2 h
3
1
π
r
2
h
What is the formula for the curved surface area of a cone?
The curved surface area of a cone is given by
π
r
l
\pi r l
π
r
l
How does the quadratic formula relate to translations in the y-axis?
The translation in the y-axis is represented by
y
=
y =
y
=
f
(
x
)
+
f(x) +
f
(
x
)
+
a
a
a
How does the quadratic formula relate to translations in the x-axis?
The translation in the x-axis is represented by
y
=
y =
y
=
f
(
x
−
a
)
f(x - a)
f
(
x
−
a
)
How does the quadratic formula relate to reflection in the x-axis?
Reflection in the x-axis is represented by
y
=
y =
y
=
−
f
(
x
)
-f(x)
−
f
(
x
)
How does the quadratic formula relate to reflection in the y-axis?
Reflection in the y-axis is represented by
y
=
y =
y
=
f
(
−
x
)
f(-x)
f
(
−
x
)
What are the relationships between transformations and the quadratic formula?
Translation
in the
y-axis
:
y
=
y =
y
=
f
(
x
)
+
f(x) +
f
(
x
)
+
a
a
a
Translation in the
x-axis
:
y
=
y =
y
=
f
(
x
−
a
)
f(x - a)
f
(
x
−
a
)
Reflection
in the x-axis:
y
=
y =
y
=
−
f
(
x
)
-f(x)
−
f
(
x
)
Reflection in the y-axis:
y
=
y =
y
=
f
(
−
x
)
f(-x)
f
(
−
x
)