Answer:
21 1/6 ft
Step-by-step explanation:
Add the lengths together
12 1/2 + 8 2/3
Get a common denominator of 6
12 1/2 *3/3 + 8 2/3 *2/2
12 3/6 + 8 4/6
20 7/6
20 +6/6+1/6
21 1/6
Answer:
25.98units³
Step-by-step explanation:
Area of the triangular prism = Base Area * Height of the pyramid
A = BH/3
Get the area of the triangle
Area of the triangle = 1/2 Base * height
Base of the triangle = 5
height = √5²-2.5²
h = √25-6.25
h = √18.75
h = 4.33
Area of the triangle = 1/2 * 4.33 * 5
Area of the triangle = 10.82
Base area = 10.82
Get the area of the triangular pyramid
Area of the triangular pyramid = 10.82*7.2/3
Area of the triangular pyramid = 25.98units³
Hence the area triangular pyramid is 25.98units³
What is the flaw in Gina’s proof?
A) Points D and E must be constructed, not simply labeled, as midpoints.
B) Segments DE and AC are parallel by construction. THIS IS THE FLAW. THE SEGMENTS WERE NOT DRAWN NOR PROPERLY IDENTIFIED.
C) The slope of segments DE and AC is not 0.
D) The coordinates of D and E were found using the Distance between Two Points Postulate
The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
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Answer:
V= 18.75 cm^3
Step-by-step explanation:
- The formula for finding the volume for <em>any</em> given shape is V = L x W x H.
- So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.
- This gives you 18.75 cm^3
