Answer:
- draw lines center to vertex
- 43.5 square inches
- 261 square inches
Step-by-step explanation:
<u>Part A</u>:
The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.
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<u>Part B</u>:
The area of each triangle is given by the triangle area formula:
A = (1/2)bh
A = (1/2)(10 in)(8.7 in) = 43.5 in²
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<u>Part C</u>:
The area of the table top is 6 times the area of one triangle:
surface area = 6(43.5 in²) = 261 in²
Answer:
The solutions are x=4,x=−10. Explanation: The square root property involves taking the square root of both the terms on either side of the ...
1 answer
Step-by-step explanation:
Answer:
x = 19/7 , y= -27/14
Step-by-step explanation:
The value of y that ensures the pool is a rectangle is 3. Option D
<h3>How to determine the value</h3>
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( length + width)
It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.
Given the sides as;
5y + 6 = 8y -3
collect like terms
5y - 8y = -3 - 6
-3y = -9
Make 'y' the subject
y = 3
Thus, the value of y that ensures the pool is a rectangle is 3. Option D
Learn more about rectangles here:
brainly.com/question/25292087
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Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,


So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:

Where, B is the base area and r is the radius.


So, the base area is
square inches.
The volume of the cylinder is:


Where, r is radius, h is height, B is base area.
Putting
and
, we get


So, the volume is
cubic inches.
Therefore,
.