Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is 
The area of the whole polygon is 
Now, the perimeter of a regular 7-sided polygon is 
.
Substitute in area,
We have given, 
The perimeter of the plaque is 28 inches.
B. Draw a line through point B that intersects arc 2
Answer:
1
Step-by-step explanation:
the reason why is because 16 people are coming to your party + you is 17
+
First, simplify
to
/ Your problem should look like:
+
Second, join the denominators. / Your problem should look like:
Third, simplify. / Your problem should look like:
Fourth, convert to mixed fraction. / Your problem should look like:
Mixed number form:
Exact form:
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + 
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = 
Sin 31º = 
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
