Answer: 62.83in
Step-by-step explanation:
C= 2(3.14)(10)
C= 20(3.14)
C= 62.831853071796
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
The equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y
<h3>Expansion of expression</h3>
Expansion of expression can be carried out using the distributive rule a shown:
A(B + C) = AB + AC
Note that <u>A is distributed over B and C</u>
Given the expression
-1/4 (-8x + 12y)
-1/4(-8x) - 1/4(12y)
2x - 3y
Hence the equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y
Learn more on expansion here: brainly.com/question/26430239
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5
Dhhhyabusnuabianosnosnosn
Answer:
the slope of A'B' = 3
A'B' passes through point O
Step-by-step explanation:
A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'
