Sorry for the way it came out but the Answer:
2
x
+
5
=
43
∘
3
x
−
10
=
47
∘
Explanation:
A complementary angles means angles that add up to
90
degrees. The two angles given in the question are complementary angles.
So
Our first angle
(
2
x
+
5
)
plus the second angle
(
3
x
−
10
)
is equal to
90
degrees
(
2
x
+
5
)
+
(
3
x
−
10
)
=
90
Now we solve for
x
, first we add up the like terms
2
x
+
3
x
+
5
−
10
=
90
5
x
−
5
=
90
Add
5
to both sides
5
x
=
95
Divide both sides by
5
we get
x
=
19
Now and after we find
x
we substitute it to get our two angles
2
x
+
5
=
2
(
19
)
+
5
=
43
∘
3
x
−
10
=
3
(
19
)
−
10
=
47
∘
Hope it helps :)
Step-by-step explanation:
Answer:
27/462
OR
.058
Step-by-step explanation:
the probability that the first student, selected at random, is a nursing student is 3/22.
the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.
the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have
Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
