Answer:
12.15 for number 1
Step-by-step explanation:
The ladder is the hypotenuse of a 45 45 90 triangle.
The legs of a 45 45 90 triangle = hypotenuse / sqroot (2)
15 / 1.414 = 10.608
(Incidentally it is the "bottom" of the ladder that is 10.608 feet from the wall. The "top" of the ladder is touching the wall. LOL)
Answer:
The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with
N sides. It is equal to 360
o
N
.
Step-by-step explanation:
Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.
However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to 360
o
.
It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of
360
o
. So, if all exterior angles are equal, like in a regular polygon, each one equals to 360
o
N
.
It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is (
N
−
2
)
⋅
180
o
.
Dividing the above by N
we will obtain a value of an interior angle: (
N
−
2
)
⋅
180o
N
.
Therefore, exterior angle of a regular polygon is 180
o
−
(
N
−
2
)
⋅
180
o
N
=
360
o
N
Answer: b. 2x = 30
Step-by-step explanation:
Given : <u>30 states</u> joined the United States between 1776 and 1849
and <u>x states</u> joined between 1850 and 1900 .
If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.
i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)
i.e . 30= 2(x) [Substitute the values]
i.e . 2x=30
Hence, the true equation : 2x=30
We should request a completion time of
223 work-days.
