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.
Answer:
48
Step-by-step explanation:
(204-x)/2=78
or, 204-x=156
or, x=204-156
or, x=48
Answer:
4 in.3 and 12 cubic yards
Step-by-step explanation:
3 means three sides that a volume has and 2 means its a cube or rectangle shaped figure which i think has 2 sides. cubic means 3 as well that describes volume.
I searched this up
Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
<em>From the list of options, only option (b) is correct.</em>
Both base and height of the sail is 40 1/2 feet.
A sail is triangular in shape. Finding the area of a triangle is multiplying its base and height and dividing the product by 2.
A = 1/2 bh
Area = 40 1/2 or 40.50 sq. ft
Since base and height are equal.
40.50 x 2 = 81
bh = 81
bh = 81 ÷ 2
b = 40 1/2 ft
h = 40 1/2 ft
