Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° =
, then letting the altitude be h
tan60° =
=
=
( multiply both sides by h )
11
= h ×
( divide both sides by
)
11
= h
using the sine ratio in the triangle on the left and the exact value
sin45° =
, then
sin45° =
=
=
=
( cross- multiply )
× x = 22
( divide both sides by
)
x = 22
Answer:
A. $46,650
Step-by-step explanation:
Taking the first number of $50,150, we have to subtract his expenses. After subtracting Leroy's expenses, we get $46,650.
50150
<u>- 3500</u>
46650
Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is
.
The lateral surface area of the triangular pyramid is

cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared
Answer:
cosecθ
Step-by-step explanation:
Please see attached picture for full solution.
cosecθ= 1/sinθ
cotθ= 1/tanθ= cosθ/sinθ
Answer: 21/40
Step-by-step explanation:
25+18=?The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/5, 1/8) = 40
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(25×88)+(18×55)=?
Complete the multiplication and the equation becomes
1640+540=?
The two fractions now have like denominators so you can add the numerators.
Then:
16+540=2140
This fraction cannot be reduced.
Therefore:
25+18=2140