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:
x=11, y=8/3
Step-by-step explanation:
Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then
LM=NO
and
LO=MN
Thus,

Solve this system of two equations. From the first equation:

Substitute it into the second equation:

121.5
121.5 rounded to nearest whole number is 122 --> 121.49 rounded to the nearest whole number is 121
Lateral area = surface area <em>not including</em> the bases.
To find this area we just need to add up the area of all of those sides.
The 2 bases are the same area and defined by the length and width.
That leaves the 2 sides defined by length and height,
plus the 2 defined by width and height.
Of course, to find the area of a rectangle, we just multiply together its two dimensions.
length × height = 14 × 6 = 84
width × height = 9 × 6 = 54
2 × 84 + 2 × 54 = 276 m²
By definition, we have the following equation:
d = v * t
Where,
d = Distance
v = rate
t = time
The total distance traveled will be:
45t + 60 (8 - t) = 405
Solving for the time we have:
t = 5 s
Answer:
he drives at 45 mph for 5 s