Answer:
(3/4)a
Step-by-step explanation:
The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.
The midsegement length is the average of GK and FL, so is ...
midsegment = (GK +FL)/2 = (a/2 +a)/2
midsegment = (3/4)a
Well , the diameter means a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. The area means what the extent or measurement of a surface or piece of land. So area means inside so all you need to do is just to divide each side by knowing what 20/4 is and that = 5 meters
<span>f(x) = (x – 4)(x + 4) = x^2 - 4. This is the equation of a parabola with vertex at (0,-4) and x-intercepts of (-2,0) and (2,0). The midpoint of the line segment connecting these 2 points is (0,0). Draw this situation and see for yourself!
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1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.
In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.
1) In this case, the volume occupied by the marble water basin (
), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:
(1)
Where:
- Radius of the cylinder, in centimeters.
- Height of the cylinder, in centimeters.
- Radius of the cylinder, in centimeters.
If we know that 
, 
and 
, then the volume of the marble is:
The right choice is D.
2) To determine the approximate surface area of the cake covered in red frosting (
), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:
(2)
Where:
- Side length of the square, in inches.- - Height of the cakes, in inches.
- Diameter of the cakes, in inches.
If we know that 
, 
and 
, then the <em>approximate</em> area covered in red frosting:
The right choice is B.
3) The frame around the window is found by means of the following perimeter formula (
), in inches:
(3)
Where:
- - Radius, in inches.
- - Height of the rectangle, in inches.
If we know that 
and 
, then the length of the frame around the window is:
The right choice is B.
We kindly invite to see question on volumes: brainly.com/question/1578538
