Answer:
7.855 inches
Step-by-step explanation:
The formula to find the length of an arc is :
Arc Length = × 2 π r
Here,
Θ ⇒ size of the angle ⇒ 30°
r ⇒ radius ⇒ 15 inches
<u>Let us solve it now.</u>
Arc length = × 2 π r
Arc length =
Arc length =
Arc length =
Arc length = 7.855 inches
Let me know if you have any other questions. :)
In the parallelogram ABCD, diagonals AC and BD intersect at point E.
According to the definition of parallelogram, opposite sides are equal and parallel to each other. That means, AB = DC
Now as AB and DC are parallel, so according to the property of Alternate Interior Angles, we will get:
∠EAB = ∠ECD and ∠EBA = ∠EDC
Thus , in two triangles ΔABE and ΔDCE, two angles and one side are equal. So, ΔABE and ΔDCE are congruent to each other.
That means, AE = CE and BE = DE
So, AE is congruent to CE and BE is congruent to DE
Answer:
new signs are needed.
Step-by-step explanation:
Given: A -kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every
Km in between.
To find: How many new signs are needed?
Solution:
We have,
A -kilometer section of a highway is designated as a scenic byway.
New signs will be placed at the beginning and end of this section and at every Km in between.
So, there are signs placed, one at the beginning and one at the end.
Now, in between these signs there will be
signs.
Hence, the total new signs that are needed is .