Answer:
a) Surface area = 616 cm²
b) Volume = V = 1083 cm³
Step-by-step explanation:
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
a) Formula for surface area = Base area × 1/2(perimeter × slant height)
Base area = Base edge²
=( 16 cm)² = 256 cm²
Perimeter = Base edge × 3
= 16 cm × 3 = 48 cm
Hence:
Surface Area = 256 cm² + 1/2(48 × 15)
= 256 cm² + 360 cm²
= 616 cm²
b) Volume = 1/3 × Base area × Height
1082.758616785cm³
Approximately = 1083 cm³
Answer:
5
Step-by-step explanation:
n + m -2(m-m)
Combine like terms
n+m+2(0)
n+m
Let m=3 and n=2
2+3
5
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Total amount = Given to his brother + Amount left
20 + 33 = 53
